This is a page where I keep track of all the papers I read. The central theme is "topological quantum computing", though I by no means hold myself to that strictly. There are tags on all of the posts to help keep track of things. I will eventually make this site searchable.

Every post contains a brief summary, along with relevant comments/questions. 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 will really force me to get into the habit of crystallizing stories, and it should be useful for future reference.

search:

- "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", César Galindo, Nicolás 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]
- "The boundaries and twist defects of the color code and their applications to topological quantum computation", Markus Kesselring and others, 2018 [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]