Resolving spurious topological entanglement entropy in stabilizer codes

• URL: http://arxiv.org/abs/2604.27053v1
• Date: Wed, 29 Apr 2026 18:00:02 GMT
• Title: Resolving spurious topological entanglement entropy in stabilizer codes
• Abstract summary: Topological entanglement entropy (TEE) is a key diagnostic of long-range entanglement in two-dimensional gapped phases of matter.<n>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.
• Score: 16.856041004813196
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• Typical entanglement in anyon chains: Page curves beyond Lie group symmetries [41.99844472131922]
  We study bipartite entanglement statistics in one-dimensional anyon chains constrained by fusion rules of unitary pre-modular categories.<n>Surprisingly, despite the constrained Hilbert space structure, the large $L$ expansion has no universal $O(sqrtL)$ or $O(1)$ symmetry-type corrections.<n> Numerical simulations of the integrable and quantum-chaotic golden chain Hamiltonian show that chaotic mid-spectrum eigenstates match the Haar-random predictions.
  arXiv  Detail & Related papers  (2026-03-26T18:00:03Z)
• Evidence for a two-dimensional quantum glass state at high temperatures [108.88989889650607]
  Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases.<n>We study an interacting spin model at finite temperature in a disordered landscape.<n>Our results show that there is a transition out of the ergodic phase in two-dimensional systems.
  arXiv  Detail & Related papers  (2026-01-04T00:09:50Z)
• Topological entanglement entropy meets holographic entropy inequalities [0.0]
  Topological entanglement entropy (TEE) is an efficient way to detect topological order in the ground state of gapped Hamiltonians.<n>We show why the subtraction schemes in the proposed information quantitiescitelevin-wen-tee,preskill-kitaev-tee work for the computation of TEE.<n>We also show that the holographic entropy inequalities are satisfied by the quantum entanglement entropy of the non-degenerate ground state of a topologically ordered two-dimensional medium.
  arXiv  Detail & Related papers  (2024-12-07T01:06:51Z)
• Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor [118.01172048932149]
  Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations.<n>We investigate quantum circuits in tunable states to superpositions over all disorder configurations.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• Quantum entanglement in the multicritical disordered Ising model [0.0]
  entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model. We find a universal logarithmic corner contribution to the area law b*ln(l) that is independent of the form of disorder.
  arXiv  Detail & Related papers  (2024-04-19T16:42:43Z)
• Unveiling UV/IR Mixing via Symmetry Defects: A View from Topological Entanglement Entropy [0.7312229214872541]
  Some topological lattice models exhibit intricate lattice size dependence in their ground state degeneracy (GSD)<n>This and other features such as the position-dependent anyonic excitations are manifestations of UV/IR mixing.<n>Our work establishes the translation symmetry defect framework as a robust description of the UV/IR mixing in topological lattice models.
  arXiv  Detail & Related papers  (2023-10-13T22:10:12Z)
• Entanglement entropy of higher rank topological phases [0.0]
  We study entanglement entropy of unusual $mathbbZ_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint. It is widely known that the sub-leading term of the entanglement entropy of a disk geometry in conventional topologically ordered phases is related to the total number of the quantum dimension of the fractional excitations.
  arXiv  Detail & Related papers  (2023-02-22T16:06:01Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach [0.0]
  We compute the entanglement entropy of $(2+1)$-dimensional quantum critical points with randomness. As a concrete example, we reveal novel entanglement signatures of $(2+1)$-dimensional Dirac fermion exposed to a random magnetic field.
  arXiv  Detail & Related papers  (2022-01-13T15:55:14Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Multipartite entanglement of the topologically ordered state in a perturbed toric code [18.589873789289562]
  We demonstrate that multipartite entanglement, witnessed by the quantum Fisher information (QFI), can characterize topological quantum phase transitions in the spin-$frac12$ toric code model. Our results provide insights to topological phases, which are robust against external disturbances, and are candidates for topologically protected quantum computation.
  arXiv  Detail & Related papers  (2021-09-07T20:20:21Z)
• Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
  We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
  arXiv  Detail & Related papers  (2021-05-20T14:46:09Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.