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• W4284665364 abstract "The connection between quantum state recovery and quantum conditional mutual information (QCMI) is studied for the class of purely generated finitely correlated states (pgFCSs) of one-dimensional quantum spin chains. For a tripartition of the chain into two subsystems separated by a buffer region, it is shown that a pgFCS is an approximate quantum Markov chain (QMC) and, stronger, may be approximated by a quantum Markov chain in trace distance, with an error exponentially small in the buffer size. This implies that (1) a locally corrupted state can be approximately recovered by action of a quantum channel on the buffer system, and (2) QCMI is exponentially small in the size of the buffer region. Bounds on the exponential decay rate of QCMI and examples of quantum recovery channels are presented." @default.
• W4284665364 created "2022-07-08" @default.
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• W4284665364 date "2022-07-01" @default.
• W4284665364 modified "2023-10-05" @default.
• W4284665364 title "Decay of quantum conditional mutual information for purely generated finitely correlated states" @default.
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• W4284665364 doi "https://doi.org/10.1063/5.0085358" @default.
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