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Literature reviews
This is a page where I keep track of all the papers I read.
The central theme is "topological quantum information", though I by no means hold myself to that strictly.
There are tags on all of the posts to help keep track of things.
Every post contains a brief summary, along with relevant comments.
Posts are written to be maximally lucid upon my future re-reading. I make no effort to define, explain, or prove every term/claim.
If something is confusing/you want to know more, email me.
By their compressed narrative nature, summaries/stories are much easier to hold on to than primary experiences.
I find myself reading lots of papers, and wanting to remember what I read.
This often takes the form of an internal summarizing/storytelling.
To help remember things even better I have taken up the task of writing out these stories, along with technical comments, questions, and tidbits that come up along the process.
An additional point is that keeping such a list forces me to get into the habit of crystallizing stories,
and it is useful for future reference.
search:
"Anyonic entanglement and topological entanglement entropy", Parsa Bonderson, Christina Knapp, Kaushal Patel, 2017 [reviewed: January 15, 2025]
"More Is Different", Philip Anderson, 1972 [reviewed: January 9, 2025]
"Heegaard splittings of Seifert fibered spaces", Yoav Moriah, 1988 [reviewed: December 11, 2024]
"Effective field theory in condensed matter physics", Ramamurti Shankar, 1999 [reviewed: December 8, 2024]
"Classifying quantum phases using matrix product states and projected entangled pair states", Norbert Schuch, David Perez-Garcia, Ignacio Cira, 2011 [reviewed: December 5, 2024]
"An historical note on the parity of permutation", Thomas Bartlow, 1972 [reviewed: December 2, 2024]
"Third homology of some sporadic finite groups", Theo Johnson-Freyd, David Treumann, 2019 [reviewed: November 27, 2024]
"Computing the center of a fusion category", Fabian Maurer, Ulrich Thiel, 2024 [reviewed: November 27, 2024]
"An index for invertible phases of two-dimensional quantum spin systems", Nikita Sopenko, 2024 [reviewed: November 25, 2024]
"On Ulam stability", Marc Burger, Narutaka Ozawa, Andreas Thom, 2010 [reviewed: November 24, 2024]
"Magic state cultivation: growing T states as cheap as CNOT gates", Craig Gidney, Noah Shutty, Cody Jones, 2024 [reviewed: November 20, 2024]
"Meandering conduction channels and the tunable nature of quantized charge transport", Benoit Doucot, Dmitry Kovrizhin, Roderich Moessner, 2024 [reviewed: November 19, 2024]
"Quantum circuits with mixed states", Dorit Aharonov, Alexei Kitaev, Noam Nisan, 1998 [reviewed: November 18, 2024]
"Quantum theory, the Church-Turing principle and the universal quantum computer", David Deutsch, 1985 [reviewed: November 18, 2024]
"Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits", Yuanjie Ren, Nathanan Tantivasadakarn, Dominic Williamson, 2024 [reviewed: November 17, 2024]
"A degeneracy bound for homogeneous topological order", Jeongwan Haah, 2021 [reviewed: November 15, 2024]
"Stability of frustration-free Hamiltonians", Spyridon Michalakis, Justyna Zwolak, 2013 [reviewed: November 13, 2024]
"Braiding statistics of loop excitations in three dimensions", Chenjie Wang, Michael Levin, 2014 [reviewed: November 13, 2024]
"The 'transition probability' in the state space of a *-algebra", Armin Uhlmann, 1976 [reviewed: November 11, 2024]
"Quantum money from knots", Edward Farhi et al., 2012 [reviewed: November 11, 2024]
"Bicategories for boundary conditions and for surface defects in 3d TFT", Jurgen Fuchs, Christoph Schweigert, Alessandro Valentino, 2013 [reviewed: November 11, 2024]
"Improved one-dimensional area law for frustration-free systems", Itai Arad, Zeph Landau, Umesh Vazirani, 2012 [reviewed: November 4, 2024]
"Quantum Hamiltonian complexity and the detectability lemma", Dorit Aharonov, Itai Arad, Zeph Landau, Umesh Vazirani, 2010 [reviewed: November 4, 2024]
"Anyon quantum dimensions from an arbitrary ground state wave function", Shang Liu, 2024 [reviewed: November 3, 2024]
"Intrinsic mixed-state topological order without quantum memory", Zijian Wang, Zhengzhi Wu, Zhong Wang, 2023 [reviewed: November 2, 2024]
"Local commuting projector Hamiltonians and the quantum Hall effect", Anton Kapustin, Lukasz Fidkowski, 2020 [reviewed: November 2, 2024]
"Response theory for locally gapped systems", Joscha Henheik, Tom Wessel, 2024 [reviewed: November 2, 2024]
"Topological quantum computation is hyperbolic", Eric Samperton, 2023 [reviewed: November 2, 2024]
"How hard is it to approximate the Jones polynomial?", Greg Kuperberg, 2009 [reviewed: November 2, 2024]
"Coloring invariants of knots and links are often intractable", Greg Kuperberg, Eric Samperton, 2021 [reviewed: October 31, 2024]
"Complexity classes as mathematical axioms", Michael Freedman, 2009 [reviewed: October 31, 2024]
"Cups and Gates I", Nikolas Breuckmann, Margarita Davydova, Jens Eberhardt, Nat Tantivasadakarn, 2024 [reviewed: October 31, 2024]
"Almost-idempotent quantum channels and approximate C^*-algebras", Alexei Kitaev, 2024 [reviewed: October 31, 2024]
"Physics, topology, logic and computation: a Rosetta Stone", John Baez, Mike Stay, 2011 [reviewed: October 31, 2024]
"A single quantum cannot be cloned", William Wotters, Wojciech Zurek, 1982 [reviewed: October 30, 2024]
"A generalized approach to the fundamental group", Daniel Biss, 2000 [reviewed: October 27, 2024]
"An algebraic framework for group duality", Alfons Van Daele, 1998 [reviewed: October 27, 2024]
"Dual-isometric Projected Entangled Pair States", Xie-Hang Yu et al., 2024 [reviewed: October 25, 2024]
"Quantum cellular automata and categorical duality of spin chains", Corey Jones, Kylan Schatz, Dominic Williamson, 2024 [reviewed: October 24, 2024]
"On the critical finite-size gap scaling for frustration-free Hamiltonians", Marius Lemm, Angelo Lucia, 2024 [reviewed: October 15, 2024]
"Quantum union bounds for sequential projective measurements", Jingliang Gao, 2015 [reviewed: October 15, 2024]
"Splitting the topological degeneracy of non-abelian anyons", Parsa Bonderson, 2009 [reviewed: October 11, 2024]
"Measurement-only topological quantum computation", Parsa Bonderson, Michael Freedman, Chetan Nayak, 2008 [reviewed: October 11, 2024]
"Universal gates via fusion and measurement operations on SU(2)_4 anyons", Claire Levaillant, et al., 2015 [reviewed: October 11, 2024]
"Quantum algorithm for linear systems of equations", Adam Harrow, Avinatan Hassidim, Seth Lloyd, 2009 [reviewed: October 6, 2024]
"High-threshold and low-overhead fault-tolerant quantum memory", Sergey Bravyi et al., 2024 [reviewed: October 6, 2024]
"The future of quantum computing with superconducting qubits", Sergey Bravy et al., 2022 [reviewed: October 6, 2024]
"Quantum simulations of hadron dynamics in the Schwinger model using 112 qubits", Roland Farrell et al., 2024 [reviewed: October 6, 2024]
"Reliable cellular automata with self-organization", Peter Gacs, 2001 [reviewed: October 6, 2024]
"Synthetic topological qubits in conventional bilayer quantum Hall systems", Maissam Barkeshli, Xiao-Liang Qi, 2014 [reviewed: September 29, 2024]
"Quantum spin systems on infinite lattices", Pieter Naaijkens, 2013 [reviewed: September 26, 2024]
"Anyon condensation and tensor categories", Liang Kong, 2014 [reviewed: September 23, 2024]
"Monoidal 2-structure of bimodule categories", Justin Greenough, 2010 [reviewed: September 22, 2024]
"Broken quantum symmetry and confinement phases in planar physics", Alexander Bais, Bernd Schroers, Joost Slingerland, 2002 [reviewed: September 18, 2024]
"Symmetry defects and their application to topological quantum computing", Colleen Delaney, Zhenghan Wang, 2020 [reviewed: September 12, 2024]
"Classifying 2D topological phases: mapping ground states to string-nets", Isaac Kim, Daniel Ranard, 2024 [reviewed: September 11, 2024]
"Generalized string-net models: A thorough exposition", Chien-Hung Lin, Michael Levin, Fiona Burnell, 2021 [reviewed: September 11, 2024]
"Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices", Jeongwan Haah, 2021 [reviewed: September 11, 2024]
"On enriching the Levin-Wen model with symmetry", Liang Chang et al., 2015 [reviewed: September 11, 2024]
"'Fractional statistics' in arbitrary dimensions: A generalization of the Pauli principle", Duncan Haldane, 1991 [reviewed: September 10, 2024]
"Phase transition in random circuit sampling", Google quantum AI and collaborators, 2023 [reviewed: September 10, 2024]
"Demonstration of quantum computation and error correction with a tesseract code", Ben Reichardt, et al., 2024 [reviewed: September 10, 2024]
"Classification of Cellular Fake Surfaces", Lucas Fagan, Yang Qiu, Zhenghan Wang, 2024 [reviewed: September 10, 2024]
"Quantum error correction below the surface code threshold", Google quantum AI and collaborators, 2024 [reviewed: September 10, 2024]
"Quantum conditional mutual information and approximate Markov chains", Omar Fawzi, Renato Renner, 2015 [reviewed: September 9, 2024]
"Conditional independence in quantum many-body systems", Isaac Kim, 2013 [reviewed: September 9, 2024]
"Ground-state degeneracy of the fractional quantum Hall states", Xiao-Gang Wen, Qian Niu, 1990 [reviewed: September 9, 2024]
"Entanglement bootstrap approach for gapped domain walls", Bowen Shi, Isaac Kim, 2021 [reviewed: September 9, 2024]
"W-state is not the unique ground state of any local Hamiltonian", Lei Gioia, Ryan Thorngren, 2023 [reviewed: September 9, 2024]
"Discontinuity of maximum entropy inference and quantum phase transitions", Jianxin Chen et al., 2015 [reviewed: September 5, 2024]
"Fusion structure from exchange symmetry in (2+ 1)-dimensions", Sachin Valera, 2021 [reviewed: September 5, 2024]
"Information-theoretical analysis of topological entanglement entropy and multipartite correlations", Kohtaro Kato, Fabian Furrer, Mio Murao, 2016 [reviewed: September 5, 2024]
"Extracting Wilson loop operators and fractional statistics from a single bulk ground state", Ze-Pei Cian, Mohammad Hafezi, Maissam Barkeshli, 2022 [reviewed: September 5, 2024]
"Chiral central charge from a single bulk wave function", Isaac Kim, Bowen Shi, Kohtaro Kato, Victor Albert, 2022 [reviewed: September 5, 2024]
"Verlinde formula from entanglement", Bowen Shi, 2020 [reviewed: September 4, 2024]
"Fusion rules from entanglement", Bowen Shi, Kohtaro Kato, Isaac Kim, 2020 [reviewed: September 4, 2024]
"Conformal Field Theory Ground States as Critical Points of an Entropy Function", Ting-Chun Lin, John McGreevy, 2023 [reviewed: September 4, 2024]
"Boundary topological entanglement entropy in two and three dimensions", Jacob Bridgeman, Benjamin Brown, Samuel Elman, 2022 [reviewed: September 4, 2024]
"Structure of states which satisfy strong subadditivity of quantum entropy with equality", Patrick Hayden, Richard Jozsa, Denes Petz, Andreas Winter, 2004 [reviewed: September 3, 2024]
"Quasiparticle statistics and braiding from ground-state entanglement", Yi Zhang, et al., 2012 [reviewed: September 2, 2024]
"Fermionic quantum computation", Sergey Bravyi, Alexei Kitaev, 2002 [reviewed: August 30, 2024]
"Area laws and efficient descriptions of quantum many-body states", Yimin Ge, Jens Eisert, 2016 [reviewed: August 30, 2024]
"The structure of Renyi entropic inequalities", Noah Linden, Milan Mosonyi, Andreas Winter, 2013 [reviewed: August 30, 2024]
"Spectral gap and exponential decay of correlations", Matthew Hastings, Tohru Koma, 2006 [reviewed: August 30, 2024]
"Quantum algorithm for simulating real time evolution of lattice Hamiltonians", Jeongwan Haah, Matthew Hastings, Robin Kothari, Guang Hao Low, 2021 [reviewed: August 30, 2024]
"Random MERA states and the tightness of the Brandao-Horodecki entropy bound", Matthew Hastings, 2015 [reviewed: August 30, 2024]
"Universal lower bound on topological entanglement entropy", Isaac Kim, Michael Levin, Ting-Chun Lin, Daniel Ranard, Bowen Shi, 2023 [reviewed: August 29, 2024]
"A new operator extension of strong subadditivity of quantum entropy", Ting-Chun Lin, Isaac Kim, Min-Hsiu Hsieh, 2023 [reviewed: August 29, 2024]
"On the informational completeness of local observables", Isaac Kim, 2014 [reviewed: August 29, 2024]
"Seeing topological entanglement through the information convex", Bowen Shi, 2019 [reviewed: August 29, 2024]
"Characterizing topological order by the information convex", Bowen Shi, Yuan-Ming Lu, 2019 [reviewed: August 29, 2024]
"Spurious topological entanglement entropy from subsystem symmetries", Dominic Williamson, Arpit Dua, Meng Cheng, 2019 [reviewed: August 28, 2024]
"Spurious long-range entanglement and replica correlation length", Liujun Zou, Jeongwan Haah, 2016 [reviewed: August 28, 2024]
"Efficient magic state factories with a catalyzed |CCZ> -> 2|T> transformation", Craig Gidney, Austin Fowler, 2019 [reviewed: August 23, 2024]
"Interacting anyons in topological quantum liquids: The golden chain", Adrian Feiguin et al., 2007 [reviewed: August 23, 2024]
"Topological entanglement Renyi entropy and reduced density matrix structure", Steven Flammia, Alioscia Hamma, Taylor Hughes, Xiao-Gang Wen, 2009 [reviewed: August 23, 2024]
"Entanglement, fidelity, and topological entropy in a quantum phase transition to topological order", Alioscia Hamma et al., 2008 [reviewed: August 21, 2024]
"Entanglement Spectrum as a Generalization of Entanglement Entropy", Hui Li, Duncan Haldane, 2008 [reviewed: August 21, 2024]
"Detecting topological order in a ground state wave function", Michael Levin, Xiao-Gang Wen, 2006 [reviewed: August 21, 2024]
"Braid topologies for quantum computation", Steve Simon, Nick Bonesteel, Layla Hormozi, Georgios Zikos, 2005 [reviewed: August 21, 2024]
"Categorical Morita equivalence for group-theoretical categories", Deepak Naidu, 2007 [reviewed: August 19, 2024
"Tensor categories", EGNO, 2015 [reviewed: August 19, 2024]
"Models for gapped boundaries and domain walls", Alexei Kitaev, Liang Kong, 2012 [reviewed: August 19, 2024]
"Matrix product states and projected entangled pair states: Concepts, symmetries, theorems", Ignacio Cirac et al., 2021 [reviewed: March 31, 2024]
"Congruence subgroups and super-modular categories", Parsa Bonderson, Eric Rowell, Zhenghan wang, Qing Zhang, 2018 [reviewed: March 31, 2024]
"Weakly group-theoretical and solvable fusion categories", Pavel Etingof, Dmitri Nikshych, Victor Ostrik, 2009 [reviewed: March 23, 2024]
"Higher central charges and topological boundaries in 2+1-dimensional TQFTs", Justin Kaidi et al., 2021 [reviewed: March 23, 2024]
"Microscopic definitions of anyon data", Kyle Kawagoe, Michael Levin, 2019 [reviewed: March 23, 2024]
"Varieties whose finitely generated members are free", Keith Kearnes, Emil Kiss, Agnes Szendrei, 2016 [reviewed: March 23, 2024]
"Quantum measurements without sums", Bob Coecke, Dusko Pavlovic, 2008 [reviewed: March 23, 2024]
"Beyond anyons", Zhenghan Wang, 2017 [reviewed: March 23, 2024]
"Fermionic modular categories and the 16-fold way", Bruillard et al., 2017 [reviewed: March 23, 2024]
"Anyons in an exactly solved model and beyond", Alexei Kitaev, 2006 [reviewed: March 23, 2024]
"Topological Quantum Computation", Zhenghan Wang, 2010 [reviewed: March 23, 2024]
"A categorical perspective on symmetry, topological order, and quantum information", Colleen Delaney, 2019 [reviewed: March 23, 2024]
"The topological theory of defects in ordered media", David Mermin, 1979 [reviewed: March 23, 2024]
"A categorical perspective on symmetry, topological order, and quantum information", Colleen Delaney, 2019 [reviewed: March 23, 2024]
"Module categories, weak hopf algebras, and modular invariants", Viktor Ostrik, 2001 [reviewed: March 23, 2024]
"The rank of G-crossed braided extensions of modular tensor categories", Marcel Bischoff, 2020 [reviewed: March 23, 2024]
"Fusion categories and homotopy theory", Pavel Etingof, Dmitri Nikshych, Victor Ostrik, 2010 [reviewed: March 23, 2024]
"A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules", Nathan Geer et al., 2022 [reviewed: March 22, 2024]
"Quantum Error Correction with the Semion Code", Guillaume Dauphinais et al., 2019 [reviewed: March 22, 2024]
"A class of P, T-invariant topological phases of interacting electrons", Michael Freedman et al., 2004 [reviewed: March 22, 2024]
"Uniqueness of unitary structure for unitarizable fusion categories", David Reutter, 2023 [reviewed: March 21, 2024]
"Building manifolds from quantum codes", Michael Freedman, Matthew Hastings, 2021 [reviewed: March 15, 2024]
"Good quantum error-correcting codes exist", Robert Calderbank, Peter Shor, 1996 [reviewed: March 14, 2024]
"Invariants of piecewise-linear 3-manifolds", John Barrett, Bruce Westbury, 1996 [reviewed: March 13, 2024]
"String-net model of Turaev-Viro invariants", Alexander Kirillov, 2011 [reviewed: March 13, 2024]
"Ground subspaces of topological phases of matter as error correcting codes", Qiu Yang, Zhenghan Wang, 2020 [reviewed: March 13, 2024]
"Straightening out the Frobenius-Schur indicator", Steven Simon, Joost Slingerland, 2022 [reviewed: February 26, 2024]
"The Penrose Tiling is a Quantum Error-Correcting Code", Zhi Li and Latham Boyle, 2023 [reviewed: February 26, 2024]
"Are we quantum computers, or merely clever robots?", Matthew Fisher, 2017 [reviewed: February 25, 2024]
"Generalized symmetries in condensed matter", John McGreevy, 2023 [reviewed: February 24, 2024]
"The fragility of quantum information?", Barbara Terhal, 2012 [reviewed: February 24, 2024]
"Tradeoffs for reliable quantum information storage in 2D systems", Sergey Bravyi, David Poulin, Barbara Terhal, 2010 [reviewed: February 24, 2024]
"Information storage capacity of discrete spin systems", Beni Yoshida, 2013 [reviewed: February 23, 2024]
"Making better sense of quantum mechanics", David Mermin, 2018 [reviewed: February 18, 2024]
"On classification of modular tensor categories", Eric Rowell, Richard Stong, Zhenghan Wang, 2009 [reviewed: February 16, 2024]
"Asymptotically good quantum and locally testable classical LDPC codes", Pavel Panteleev, Gleb Kalachev, 2022 [reviewed: February 16, 2024]
"An analogue of Radford's S4 formula for finite tensor categories", Pavel Etingof, Dmitri Nikshych, Viktor Ostrik, 2004 [reviewed: February 16, 2024]
"From categories to anyons: a travelogue", Kerstin Beer et al., 2018 [reviewed: February 11, 2024]
"Chiral topologically ordered states on a lattice from vertex operator algebras", Nikita Sopenko, 2023 [reviewed: February 10, 2024]
"Symplectic, Quaternionic, Fermionic", John Baez, 2014 [reviewed: February 4, 2024]
"Traced monoidal categories", Andre Joyal, Ross Street, Dominic Verity, 1996 [reviewed: February 4, 2024]
"Non-Abelian anyons and interferometry", Parsa Bonderson, 2012 [reviewed: February 4, 2024]
"Quantum phases of vortices in rotating Bose-Einstein condensates", Nigel Cooper, Nicola Wilkin, Mike Gunn, 2001 [reviewed: February 3, 2024]
"Quasi-topological phases of matter and topological protection", Parsa Bonderson, Cheten Nayak, 2013 [reviewed: February 2, 2024]
"Measuring topological order", Parsa Bonderson, 2021 [reviewed: February 2, 2024]
"Observation of half-integer thermal Hall conductance", Banerjee et al., 2018 [reviewed: February 2, 2024]
"The theory of probability", Andrey Kolomogorov, 1963 [reviewed: February 2, 2024]
"Symmetry protected topological orders and the group cohomology of their symmetry group", Xie Chen et al., 2013 [reviewed: January 28, 2024]
"Statistical mechanics: Rigorous results", David Ruelle, 1969 [reviewed: January 28, 2024]
"Square kagome quantum antiferromagnet and the eight-vertex model", Rahul Siddharthan, Antoine Georges, 2001 [reviewed: January 28, 2024]
"Growth rates of the number of indecomposable summands in tensor powers", Kevin Coulembier, Victor Ostrik, Daniel Tubbenhauer, 2023 [reviewed: January 21, 2024]
"On generalized symmetries and structure of modular categories", Shawn Cui, Modjtaba Zini, Zhenghan Wang, 2019 [reviewed: January 15, 2024]
"Modular categories are not determined by their modular data", Michael Mignard, Peter Schauenburg, 2021 [reviewed: January 15, 2024]
"Finiteness for mapping class group representations from twisted Dijkgraaf-Witten theory", Paul Gustafson, 2018 [reviewed: January 15, 2024]
"The boundaries and twist defects of the color code and their applications to topological quantum computation", Markus Kesselring et al., 2018 [reviewed: January 14, 2024]
"Topological entanglement entropy with a twist", Benjamin Brown et al., 2013 [reviewed: January 14, 2024]
"Topological entanglement entropy", Alexei Kitaev, John Preskill, 2006 [reviewed: January 14, 2024]
"Two-dimensional color-code quantum computation", Austin Fowler, 2011 [reviewed: January 14, 2024]
"The boundaries and twist defects of the color code and their applications to topological quantum computation", Markus Kesselring and others, 2018 [reviewed: January 14, 2024]
"Topological quantum distillation", Hector Bombin, Miguel Angel Martin-Delgado, 2006 [reviewed: January 14, 2024]
"Fault-tolerant quantum computation", Peter Shor, 1996 [reviewed: January 14, 2024]
"Quantum computations: algorithms and error correction", Alexei Kitaev, 1997 [reviewed: January 14, 2024]
"Subfactors from regular graphs induced by association schemes", Radhakrishnan Balu, 2022 [reviewed: January 9, 2024]
"Association schemes and fusion algebras (an introduction)", Eiichi Bannai, 1993 [reviewed: January 9, 2024]
"Twist defects and projective non-Abelian braiding statistics", Maissam Barkeshli, Chao-Ming Jian, Xiao-Liang Qi, 2013 [reviewed: January 2, 2024]
"Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes", David Aasen, Zhenghan Wang, Matthew Hastings, 2022 [reviewed: January 1, 2024]
"The group structure of quantum cellular automata", Michael Freedman, Jeongwan Haah, Matthew Hastings, 2022 [reviewed: January 1, 2024]
"Topological order with a twist: Ising anyons from an Abelian model", Hector Bombin, 2010 [reviewed: December 31, 2023]
"Indistinguishable chargeon-fluxion pairs in the quantum double of finite groups", Salman Beigi, Peter Shor, Daniel Whalen, 2010 [reviewed: December 31, 2023]
"Quasi-quantum groups related to orbifold models", Robbert Dijkgraaf, Vincent Pasquier, Philippe Roche, 1990 [reviewed: December 31, 2023]
"Non-local finite-depth circuits for constructing SPT states and quantum cellular automata", David Stephen et al., 2022 [reviewed: December 29, 2023]
"Mapping between Morita-equivalent string-net states with a constant depth quantum circuit", Laurens Lootens et al., 2022 [reviewed: December 29, 2023]
"Graph gauge theory of mobile non-Abelian anyons in a qubit stabilizer code", Yuri Lensky, Kostyantyn Kechedzhi, Igor Aleiner, Eun-Ah Kim, 2022 [reviewed: December 29, 2023]
"On topology of the moduli space of gapped Hamiltonians for topological phases", Po-Shen Hsin, Zhenghan Wang, 2023 [reviewed: December 29, 2023]
"Topological quantum order: stability under local perturbations", Sergey Bravyi, Matthew Hastings, Spyridon Michalakis, 2010 [reviewed: December 29, 2023]
"A blueprint for a topologically fault-tolerant quantum computer", Parsa Bonderson Sankar Das Sarma, Michael Freedman, Chetan Nayak, 2010 [reviewed: December 29, 2023]
"Radical chiral Floquet phases in a periodically driven Kitaev model and beyond", Hoi Chun Po et al., 2017 [reviewed: December 29, 2023]
"Dynamically generated logical qubits", Matthew Hastings, Jeongwan Haah, 2021 [reviewed: December 29, 2023]
"Homotopy quantum field theory", Vladimir Turaev, 2010 [reviewed: December 29, 2023]
"Universality of Z3 parafermions via edge-mode interaction and quantum simulation of topological space evolution with Rydberg atoms", Asmae Benhemou et al., 2023 [reviewed: December 29, 2023]
"Boundary conditions, fusion rules and the Verlinde formula", John Cardy, 1989 [reviewed: December 29, 2023]
"Fusion rules and modular transformations in 2D conformal field theory", Erik Verlinde, 1988 [reviewed: December 29, 2023]
"Topological quantum field theories derived from the Kauffman bracket", Christian Blanchet et al., 1995 [reviewed: December 29, 2023]
"Construction of the Reshetikhin-Turaev TQFT from conformal field theory", Jørgen Ellegaard Andersen, Kenji Ueno, 2014 [reviewed: December 28, 2023]
"Lectures on RCFT", Gregory Moore, Nathan Seiberg, 1990 [reviewed: December 28, 2023]
"The geometry of tensor calculus, I", Andre Joyal, Ross Street, 1991 [reviewed: December 27, 2023]
"Classical and quantum conformal field theory", Gregory Moore, Nathan Seiberg, 1989 [reviewed: December 27, 2023]
"Quantum SU(2) faithfully detects mapping class groups modulo center", Michael Freedman, Kevin Walker, Zhenghan Wang, 2002 [reviewed: December 27, 2023]
"Quantum invariants of knots and 3-manifolds", Vladimir Turaev, 1994 [reviewed: December 26, 2023]
"Topological quantum field theory", Michael Atiyah, 1988 [reviewed: December 26, 2023]
"Topological quantum field theory", Edward Witten, 1988 [reviewed: December 26, 2023]
"Braided monoidal categories", Andre Joyal, Ross Street, 1986 [reviewed: December 19, 2023]
"Dawn of the topological age?", Arthur Ramirez, Brian Skinner, 2020 [reviewed: December 17, 2023]
"Large, nonsaturating thermopower in a quantizing magnetic field", Brian Skinner, Liang Fu, 2018 [reviewed: December 17, 2023]
"Majorana bound states in magnetic skyrmions", Guang Yang et al., 2016 [reviewed: December 17, 2023]
"Topological Superconductivity Mediated by Skyrmionic Magnons", Kristian Maeland, Asle Sudbo, 2023 [reviewed: December 16, 2023]
"Manipulating Topological Phases in Magnetic Topological Insulators", Gang Qiu et al., 2023 [reviewed: December 16, 2023]
"Proposal for a negative capacitance topological quantum field-effect transistor", Michael Fuhrer et al., 2021 [reviewed: December 16, 2023]
"Perspective on skyrmion spintronics", Christopher Marrows, Katharina Zeissler, 2021 [reviewed: December 16, 2023]
"Superconducting proximity effect and Majorana fermions at the surface of a topological insulator", Liang Fu, Charles Kane, 2008 [reviewed: December 16, 2023]
"The BQP-hardness of approximating the Jones polynomial", Dorit Aharonov, Itai Arad, 2011 [reviewed: December 16, 2023]
"A model study of present-day Hall-effect circulators", Benedikt Placke et al., 2017 [reviewed: November 30, 2023]
"Majorana fermions in a tunable semiconductor device", Jason Alicea, 2010 [reviewed: November 27, 2023]
"Introduction to topological superconductivity and Majorana fermions", Martin Leijnse, Jarsten Flensberg, 2012 [reviewed: November 17, 2023]
"A silicon-based nuclear spin quantum computer", Bruce Kane, 1998 [reviewed: November 17, 2023]
"The theory of phase transitions", Lev Landau, 1936 [reviewed: November 16, 2023]
"Majorana zero modes and topological quantum computation", Sankar Das Sarma, Michael Freedman, Cheten Nayak, 2015 [reviewed: November 11, 2023]
"2-categories and Zamolodchikov tetrahedra equations", Mikhail Kapranov, Vladimir Voevodsky, 1994 [reviewed: November 10, 2023]
"Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions", Michael Freedman, Zhenghan Wang, Cheten Nayak, et al., 2011 [reviewed: November 7, 2023]
"Majorana fermions and non-Abelian statistics in three dimensions", Jeffrey Teo, Charles Kane, 2010 [reviewed: November 7, 2023]
"Room-temperature manipulation and decoherence of a single spin in diamond", Ronald Hanson et. al, 2006 [reviewed: November 2, 2023]
"Dislocations as single photon sources in two-dimensional semiconductors", Xiaocheng Zhou, Zhuhua Zhang, Wanlin Guo, 2020 [reviewed: October 19, 2023]
"A survey of graphical languages for monoidal categories", Peter Selinger, 2023 [reviewed: October 15, 2023]
"Comments on the classification of the finite subgroups of SU(3)", Patrick Otto Ludl, 2011 [reviewed: October 13, 2023]
"Dilogarithm identities for conformal field theories and cluster algebras: simply laced case", Tomoki Nakanishi, 2011 [reviewed: October 13, 2023]
"Modular categories as representations of the 3-dimensional bordism 2-category", Bruce Bartlett, et. al, 2015 [reviewed: October 10, 2023]
"Rank-finiteness for modular categories", Paul Bruillard, Siu-Hung Ng, Eric Rowell, Zhenghan Wang, 2016 [reviewed: October 8, 2023]
"On Vafa's theorem for tensor categories", Pavel Etingof, 2002 [reviewed: October 8, 2023]
"Wavefunctionology: The special structure of certain fractional quantum Hall wavefunctions", Steven Simon, 2020 [reviewed: October 8, 2023]
"Topological quantum information theory", Louis Kauffman, Samuel Lomonaco, 2009 [reviewed: October 7, 2023]
"Samuel Beckett's Guide to Particles and Antiparticles", Brian Skinner, 2015 [reviewed: October 7, 2023]
"Localization of unitary braid group representations", Eric Rowell, Zhenghan Wang, 2012 [reviewed: October 7, 2023]
"Symmetry fractionalization, defects, and gauging of topological phases", Maissam Barkeshli, Parsa Bonderson, Meng Cheng, Zhenghan Wang, 2019 [reviewed: October 6, 2023]
"Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation", Benoit Doucot, Lev Ioffe, Julien Vidal, 2004 [reviewed: October 6, 2023]
"A short guide to anyons and modular functors", Simon Burton, 2023 [reviewed: October 1, 2023]
"Adaptive constant-depth circuits for manipulating non-abelian anyons", Sergey Bravyi, et al., 2022 [reviewed: October 1, 2023]
"Spin networks in gauge theory", John Baez, 1996 [reviewed: October 1, 2023]
"A statistical mechanics view on Kitaev's proposal for quantum memories", Robert Alicki, Mark Fannes, Michał Horodecki, 2007 [reviewed: October 1, 2023]
"Haag duality and the distal split property for cones in the toric code", Pieter Naaijkens, 2012 [reviewed: October 1, 2023]
"Kitaev's quantum double model as an error correcting code", Shawn Cui, Stanford physics people, 2020 [reviewed: October 1, 2023]
"Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models", Oliver Buerschaper, Miguel Aguado, 2009 [reviewed: October 1, 2023]
"An invitation to topological orders and category theory", Liang Kong, Zhi-Hao Zhang, 2022 [reviewed: September 13, 2023]
"Metaplectic categories, gauging and property F", Paul Gustafson, Eric Rowell, Yuze Ruan, 2020 [reviewed: September 13, 2023]
"Quantum codes, CFTs, and defects", Matthew Buican, Anatoly Dymarsky, Rajath Radhakrishnan, 2023 [reviewed: September 13, 2023]
"Mathematical Aspects of Quantum Field Theories", conference proceeding, 2015 [reviewed: September 13, 2023]
"On the history of the algebraic theory of quadratic forms", Winfried Scharlau, 2000 [reviewed: September 13, 2023]
"Geometric search for Hadamard matrices", Jeffery Kline, 2019 [reviewed: September 12, 2023]
"Higher linear algebra in topology and quantum information theory", David Reutter, 2019 [reviewed: September 12, 2023]
"Qudits and high-dimensional quantum computing", Yuchen Wang, Zixuan Hu, Barry Sanders, Sabre Kais, 2020 [reviewed: September 6, 2023]
"Bulk-edge correspondence in (2+ 1)-dimensional abelian topological phases", Chetan Nayak, et al., 2014 [reviewed: September 6, 2023]
"In and around Abelian anyon models", Zhenghan Wang, Liang Wang, 2020 [reviewed: September 6, 2023]
"Anyonic Symmetries and Topological Defects in Abelian Topological Phases: an application to the ADE Classification", Mayukh Nilay Khan, et al., 2014 [reviewed: September 5, 2023]
"A concise guide to complex Hadamard matrices", Wojciech Tadej, Karol Zyczkowski, 2006 [reviewed: September 5, 2023]
"A hierarchy of anyon models realised by twists in stacked surface codes", Thomas Scruby, Dan Browne, 2020 [reviewed: September 4, 2023]
"Universal fault-tolerant quantum computing with stabilizer codes", Paul Webster et al., 2022 [reviewed: September 4, 2023]
"Introduction to representation theory", Pavel Etingof et al., 2009 [reviewed: September 4, 2023]
"Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs", Nathan Geer, et al., 2022 [reviewed: September 4, 2023]
"Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I", Simon Lentner, et al., 2023 [reviewed: September 4, 2023]
"Origins of the Temperley-Lieb algebra: early history", Stephen Doty, Anthony Giaquinto, 2023 [reviewed: September 1, 2023]
"Index for subfactors", Vaughan Jones, 1983 [reviewed: September 1, 2023]
"Non-binary unitary error bases and quantum codes", Emanuel Knill, 1996 [reviewed: September 1, 2023]
"A polynomial invariant for knots via von Neumann algebras", Vaughn Jones, 1985 [reviewed: August 31, 2023]
"State sum invariants of 3-manifolds and quantum 6j-symbols", Vladimir Turaev, Oleg Viro, 1992 [reviewed: August 31, 2023]
"Invariants of 3-manifolds via link polynomials and quantum groups", Nicolai Reshetikhin, Vladimir Turaev, 1991 [reviewed: August 31, 2023]
"Quantum field theory and the Jones polynomial", Edward Witten, 1989 [reviewed: August 31, 2023]
"Quantum Groups at Roots of Unity and Modularity", Stephen Sawin, 2006 [reviewed: August 31, 2023]
"Lectures on tensor categories and modular functors", Bojko Bakalov, Alexander Kirillov, 2001 [reviewed: August 31, 2023]
"From Quantum Groups to Unitary Modular Tensor Categories", Eric Rowell, 2006 [reviewed: August 31, 2023]
"Subfactors and mathematical physics", David Evans, Yasuyuki Kawahigashi, 2023 [reviewed: August 31, 2023]
"Turaev-Viro invariants as an extended TQFT III", Benjamin Balsam, 2010 [reviewed: August 31, 2023]
"Mixed-state TQFTs", Modjtaba Shokrian Zini, Zhenghan Wang, 2021 [reviewed: August 31, 2023]
"From subfactors to categories and topology II: The quantum double of tensor categories and subfactors", Michael Muger, 2003 [reviewed: August 31, 2023]
"From subfactors to categories and topology I: Frobenius algebras in and Morita equivalence of tensor categories", Michael Muger, 2003 [reviewed: August 31, 2023]
"Quantum advantage of unitary Clifford circuits with magic state inputs", Mithuna Yoganathan, Richard Jozsa, Sergii Strelchuk, 2019 [reviewed: August 25, 2023]
"Quantum double finite group algebras and their representations", Mark Gould, 1993 [reviewed: August 25, 2023]
"Trading classical and quantum computational resources", Sergey Bravyi, Graeme Smith, John Smolin, 2016 [reviewed: August 25, 2023]
"Congruence subgroups and generalized Frobenius-Schur indicators", Siu-Hung Ng, Peter Schauenburg, 2010 [reviewed: August 25, 2023]
"Semi-Clifford operations, structure of C_k hierarchy, and gate complexity for fault-tolerant quantum computation", Bei Zeng, Xie Chen, Isaac Chuang, 2008 [reviewed: August 25, 2023]
"Universal quantum computation with ideal Clifford gates and noisy ancillas", Sergey Bravyi, Alexei Kitaev, 2005 [reviewed: August 25, 2023]
"Quantum Teleportation is a Universal Computational Primitive", Daniel Gottesman, Isaac Chuang, 1999 [reviewed: August 25, 2023]
"Indicators of Tambara-Yamagami categories and Gauss sums", Tathagata Basak, Ryan Johnson, 2015 [reviewed: August 24, 2023]
"Quadratic forms on finite groups, and related topics", Charles Wall, 1963 [reviewed: August 24, 2023]
"Surface code quantum computing by lattice surgery", Dominic Horsman, Austin Fowler, Simon Devitt, Rodney Van Meter, 2012 [reviewed: August 24, 2023]
"Lattice Surgery with a Twist: Simplifying Clifford Gates of Surface Codes", Daniel Litinski, Felix von Oppen, 2018 [reviewed: August 24, 2023]
"Solutions of the hexagon equation for abelian anyons", Cesar Galindo, Nicolas Jaramillo Torres, 2016 [reviewed: August 23, 2023]
"NP-complete Problems and Physical Reality", Scott Aaronson, 2005 [reviewed: August 23, 2023]
"Parafermions in a Kagome lattice of qubits for topological quantum computation", Adrian Hutter, James Wootton, Daniel Loss, 2015 [reviewed: August 22, 2023]
"Quantum Computing with Parafermions", Adrian Hutter, Daniel Loss, 2016 [reviewed: August 22, 2023]
"Universal quantum computation with weakly integral anyons", Shawn Cui, Seung-Moon Hong, Zhenghan Wang, 2015 [reviewed: August 22, 2023]
"The Quantum Double Model with Boundary: Condensations and Symmetries", Salman Beigi, Peter Shor, Daniel Whalen, 2011 [reviewed: August 21, 2023]
"Nested Topological Order", Hector Bombin, Miguel Martin-Delgado, 2011 [reviewed: August 21, 2023]
"Quantum double aspects of surface code models", Alexander Cowtan, Shahn Majid, 2022 [reviewed: August 21, 2023]
"Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras", Bowen Yan, Penghua Chen, Shawn Cui, 2022 [reviewed: August 21, 2023]
"A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation", Hector Bombin, Miguel Martin-Delgado, 2008 [reviewed: August 21, 2023]
"Topological quantum computation with gapped boundaries", Iris Cong, Meng Cheng, Zhenghan Wang, 2015 [reviewed: August 21, 2023]
"Logical Blocks for Fault-Tolerant Topological Quantum Computation", PsiQuantum, 2023 [reviewed: August 21, 2023]
"3-Fermion topological quantum computation", Sam Roberts, Dominic Williamson, 2020 [reviewed: August 21, 2023]
"Universal Quantum Computation with Gapped Boundaries", Iris Cong, Meng Cheng, Zhenghan Wang, 2017 [reviewed: August 18, 2023]
"Fault-tolerant conversion between the steane and reed-muller quantum codes", Jonas Anderson, Guillaume Duclos-Cianci, David Poulin, 2014 [reviewed: August 18,2023]
"Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes", Hector Bombin, 2015 [reviewed: August 18, 2023]
"Quantum Control in the Cs 6S_(1/2) Ground Manifold Using r-f and mu-w Magnetic Fields", Poul Jessen's lab, 2013 [reviewed: August 18, 2023]
"Classification of topologically protected gates for local stabilizer codes", Sergey Bravyi, Robert Konig, 2013 [reviewed: August 18, 2023]
"Qudit color codes and gauge color codes in all spatial dimensions", Fern Watson, Earl Campbell, Hussain Anwar, Dan Browne, 2015 [reviewed: August 18, 2023]
"Qudit surface codes and gauge theory with finite cyclic groups", Stephen Bullock, Gavin Brennen, 2007 [reviewed: August 18, 2023]
"Homological Error Correction: Classical and Quantum Codes", Hector Bombin, Miguel Martin-Delgado, 2007 [reviewed: August 18, 2023]
"Is quantum mechanics useful?", Rolf Landauer, 1995 [reviewed: August 18, 2023]
"Transversal Clifford gates on folded surface codes", Jonathan Moussa, 2016 [reviewed: August 18, 2023]
"Quantum circuits for qubit fusion", Jonathan Moussa, 2015 [reviewed: August 17, 2023]
"Universal quantum computation in the surface code using non-Abelian islands", Katharina Laubscher, Daniel Loss, James Wootton, 2019 [reviewed: August 17, 2023]
"Kitaev's Zd-Codes Threshold Estimates", Guillaume Duclos-Cianci, David Poulin, 2013 [reviewed: August 17, 2023]
"Poking Holes and Cutting Corners to Achieve Clifford Gates with the Surface Code", Benjamin Brown, Katharina Laubscher, Markus Kesselring, James Wootton, 2017 [reviewed: August 17, 2023]
"Fast decoders for qudit topological codes", Hussain Anwar, Benjamin Brown, Earl Campbell, Dan Browne, 2014 [reviewed: August 17, 2023]
"Restrictions on Transversal Encoded Quantum Gate Sets", Bryan Eastin, Emanuel Knill, 2009 [reviewed: August 17, 2023]
"Fault-Tolerant Quantum Computation with Higher-Dimensional Systems", Daniel Gottesman, 1998 [reviewed: August 17, 2023]
"The Heisenberg Representation of Quantum Computers", Daniel Gottesman, 1998 [reviewed: August 17, 2023]
"Abelian Hypergroups and Quantum Computation", Juani Bermejo-Vega and Kevin C. Zatloukal, 2015 [reviewed: August 17, 2023]
"Classical simulations of Abelian-group normalizer circuits with intermediate measurements", Juani Bermejo-Vega, Maarten Van den Nest [reviewed: August 17, 2023]
"Efficient classical simulations of quantum Fourier transforms and normalizer circuits over Abelian groups", Maarten Van den Nest, 2012 [reviewed: August 17, 2023]
"Stabilizer states and Clifford operations for systems of arbitrary dimensions, and modular arithmetic", Erik Hostens, Jeroen Dehaene, and Bart De Moor, 2005 [reviewed: August 17, 2023]
"A linearized stabilizer formalism for systems of finite dimension", Niel de Beaudrap, 2011 [reviewed: August 17, 2023]
"Normalizer Circuits and Quantum Computation", Juani Bermejo-Vega, 2016 [reviewed: August 17, 2023]
"Dissecting Topological Quantum Computation", James Wootton, 2010 [reviewed: August 17, 2023]
"Discrete gauge theories", Mark de Wild Propitius, F. Alexander Bais, 1996 [reviewed: July 28, 2023]
"Topological views on computational complexity", Michael Freedman, 1998 [reviewed: July 27, 2023]
"Anyon computers with smaller groups", Carlos Mochon, 2004 [reviewed: July 26, 2023]
"Anyons from non-solvable groups are sufficient for universal quantum computation", Carlos Mochon, 2003 [reviewed: July 26, 2023]
"Quantum computation with abelian anyons", Seth Lloyd, 2000 [reviewed: July 26, 2023]
"Topological quantum computation", John Preskill, Walter Ogburn, 1998 [reviewed July 26, 2023]
"Fault-tolerant quantum computation", John Preskill, 1997 [reviewed: July 26, 2023]
"Quantum computation and the localization of modular functors", Michael Freedman, 2000 [reviewed: July 26, 2023]
"The two-eigenvalue problem and density of Jones representation of braid groups", Michael Freedman, Michael Larsen, Zhenghan Wang, 2002 [reviewed July 25, 2023]
"Quantum measurements and the Abelian stabilizer problem", Alexei Kitaev, 1995 [reviewed: July 25, 2023]
"Quantum error correction with imperfect gates", Alexei Kitaev, 1997 [reviewed: July 25, 2023]
"Unpaired Majorana Fermions in quantum wires", Alexei Kitaev, 2001 [reviewed: July 25, 2023]
"Topological quantum computation", Michael Freedman, Alexei Kitaev, Michael Larsen, Zhenghan Wang, 2003 [reviewed: July 22, 2023]
"A modular functor which is universal for quantum computation", Michael Freedman, Michael Larsen, Zhenghan Wang, 2002 [reviewed: July 22, 2023]
"Simulations of topological field theories by quantum computers", Michael Freedman, Alexei Kitaev, Zhenghan Wang, 2002 [reviewed: July 22, 2023]
"P/NP, and the quantum field computer", Michael Freedman, 1998 [reviewed: July 22, 2023]
"Fault tolerant quantum computation by anyons", Alexei Kitaev, 1997 [reviewed: July 21, 2023]