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Open Quantum Systems Decoherence Quantum Simulation

Robust Quantum Entanglement at (nearly) Room Temperature

arXiv

Authors: Lior Eldar

Year

2019

Paper ID

14891

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We formulate a mixed-state analog of the NLTS conjecture [FH14] by asking whether there exist topologically-ordered systems for which the thermal Gibbs state for constant temperature is globally-entangled in the sense that it cannot even be approximated by shallow quantum circuits. We then prove this conjecture holds for nearly optimal parameters: when the "inverse temperature" is almost a constant (temperature decays as 1/loglog(n))) and the Hamiltonian is nearly local (log(n)-local). The construction and proof combine quantum codes that arise from high-dimensional manifolds [Has17, LLZ19], the local-decoding approach to quantum codes [LTZ15, FGL18] and quantum locally-testable codes [AE15].

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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We formulate a mixed-state analog of the NLTS conjecture [FH14] by asking whether there exist topologically-ordered systems for which the thermal Gibbs state for constant...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.04461 [2] arXiv https://arxiv.org/abs/1911.04461 [3] Publisher https://arxiv.org/abs/1911.04461

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