Resolving spurious topological entanglement entropy in stabilizer codes
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918474849189888 |
|---|---|
| author | Han, Peilun Liang, Zijian Wang, Yifei Yang, Bowen Gu, Yingfei Chen, Yu-An |
| author_facet | Han, Peilun Liang, Zijian Wang, Yifei Yang, Bowen Gu, Yingfei Chen, Yu-An |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27053 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Resolving spurious topological entanglement entropy in stabilizer codes Han, Peilun Liang, Zijian Wang, Yifei Yang, Bowen Gu, Yingfei Chen, Yu-An Quantum Physics Strongly Correlated Electrons Quantum Algebra 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. |
| title | Resolving spurious topological entanglement entropy in stabilizer codes |
| topic | Quantum Physics Strongly Correlated Electrons Quantum Algebra |
| url | https://arxiv.org/abs/2604.27053 |