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Topological Quantum Computing

Resolving spurious topological entanglement entropy in stabilizer codes

arXiv
Authors: Peilun Han, Zijian Liang, Yifei Wang, Bowen Yang, Yingfei Gu, Yu-An Chen

Year

2026

Paper ID

56554

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Topological entanglement entropy (TEE) is a key diagnostic of long-range entanglement in two-dimensional gapped phases of matter, but it can suffer from spurious contributions that overestimate the total quantum dimension of the underlying topological order. In this work, we identify the microscopic origin of spurious TEE and introduce a concave partition for computing the Levin-Wen TEE of translation-invariant stabilizer codes of prime-dimensional qudits. We rigorously prove that this prescription is free of spurious contributions. As a complementary probe, we study bivariate bicycle codes on a bipartite cylinder and show that the entanglement entropy depends sensitively on the cylinder circumference, revealing topological frustration of the underlying anyons.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Topological entanglement entropy (TEE) is a key diagnostic of long-range entanglement in two-dimensional gapped phases of matter, but it can suffer from spurious contributions...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.27053 [2] arXiv https://arxiv.org/abs/2604.27053 [3] Publisher https://arxiv.org/abs/2604.27053

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