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Topological Quantum Computing

A note on invariants of mixed-state topological order in 2D

arXiv
Authors: Yoshiko Ogata

Year

2026

Paper ID

3810

Status

Preprint

Abstract Read

~2 min

Abstract Words

63

Citations

N/A

Abstract

The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided C^*-tensor category, which corresponds to strong symmetry, arises from a state satisfying approximate Haag duality. In this note, we show that the S-matrix and topological twists of the braided C^*-tensor category are quantities that are monotone under finite-depth quantum channels.

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  • 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.
  • The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.09909 [2] arXiv https://arxiv.org/abs/2601.09909 [3] Publisher https://arxiv.org/abs/2601.09909

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