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Quantum Circuits assisted by LOCC: Transformations and Phases of Matter

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arxiv 2103.13367 v4 pith:TQURE5YD submitted 2021-03-24 quant-ph cond-mat.stat-mechcond-mat.str-el

Lorenzo Piroli , Georgios Styliaris , J. Ignacio Cirac This is my paper · ORCID
classification quant-phcond-mat.stat-mechcond-mat.str-el
keywords loccquantumstatescircuitslow-depthoperationsphasesallowing
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We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations and Classical Communication (LOCC). We show that this gives rise to a classification of phases in which topologically-ordered states or other paradigmatic entangled states become trivial. We also investigate how the set of unitary operations is enhanced by LOCC in this scenario, allowing one to perform certain large-depth QC in terms of low-depth ones.

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    On IBM quantum hardware, Wen–plaquette topological crossover signatures remain measurable under disorder, amplified circuit noise, and non-Hermitian quenches — with local stabilizers far more robust than the nonlocal ...

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