Stability of topological purity under random local unitaries

Oliviero, Salvatore Francesco Emanuele; Leone, Lorenzo; Zhou, You; Hamma, Alioscia

doi:10.21468/SciPostPhys.12.3.096

SciPost Physics

Stability of topological purity under random local unitaries

Salvatore F. E. Oliviero, Lorenzo Leone, You Zhou, Alioscia Hamma

SciPost Phys. 12, 096 (2022) · published 17 March 2022

doi: 10.21468/SciPostPhys.12.3.096
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Abstract

In this work, we provide an analytical proof of the robustness of a form of topological entanglement under a model of random local perturbations. We define the notion of topological purity and show that, in the context of quantum double models, this quantity does detect topological order and is robust under the action of a random shallow quantum circuit.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.3.096
TI  - Stability of topological purity under random local unitaries
PY  - 2022/03/17
UR  - https://scipost.org/SciPostPhys.12.3.096
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 3
SP  - 096
A1  - Oliviero, Salvatore Francesco Emanuele
AU  - Leone, Lorenzo
AU  - Zhou, You
AU  - Hamma, Alioscia
AB  - In this work, we provide an analytical proof of the robustness of a form of topological entanglement under a model of random local perturbations. We define the notion of topological purity and show that, in the context of quantum double models, this quantity does detect topological order and is robust under the action of a random shallow quantum circuit.
ER  -

@Article{10.21468/SciPostPhys.12.3.096,
	title={{Stability of topological purity under random local unitaries}},
	author={Salvatore F. E. Oliviero and Lorenzo Leone and You Zhou and Alioscia Hamma},
	journal={SciPost Phys.},
	volume={12},
	pages={096},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.3.096},
	url={https://scipost.org/10.21468/SciPostPhys.12.3.096},
}

Cited by 4

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Salvatore Francesco Emanuele Oliviero,
¹ Lorenzo Leone,
² ³ ⁴ You Zhou,
¹ ⁵ Alioscia Hamma

Funder for the research work leading to this publication

National Science Foundation [NSF]