Citation: Levin, Michael, and Xiao-Gang Wen. "Detecting topological order in a ground state wave function." Physical review letters 96.11 (2006): 110405.E
Web: https://arxiv.org/abs/cond-mat/0510613
Tags: Kitaev-quantum-double, Information-theory
This paper introduced the notation of topological entanglement entropy. It is contemporary to
> Kitaev, Alexei, and John Preskill. "Topological entanglement entropy." Physical review letters 96.11 (2006): 110404.
Both pairs of authors were unaware of the other's work. This led to something very interesting. They both defined topological entanglement entropy, but did it in their own way. Levin-Wen called it "topological entropy" instead of "topological entanglement entropy". They both defined it by chopping up the plane into parts and cancelling off local factors. They cut it in different ways, though. They then both asserted and proved that TEE is equal to log(D). Kitaev-Preskill did it by considering a bilayer system, chopping it into pieces, and computing using properties of boundaries. Levin-Wen did an explicit computation in the Levin-Wen model which does not apply to other types of topological order. The clarity and generality of the Kitaev-Preskill paper caused it to win out, and it is now considered the definitive origin of TEE and Levin-Wen is mostly forgotten.