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Quantum Data Compression of Ensembles of Mixed States with Commuting Density Operators

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arxiv quant-ph/0101119 v1 pith:ESAU5VKO submitted 2001-01-24 quant-ph

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keywords compressionstatescasecommutingdatadensityencoderensembles
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We provide a rate distortion interpretation of the problem of quantum data compression of ensembles of mixed states with commuting density operators. There are two versions of this problem. In the visible case the sequence of states is available to the encoder and in the blind or hidden case the encoder may access only a sequence of measurements. We find the exact optimal compression rates for both the visible and hidden cases. Our analysis includes the scenario in which asymptotic reconstruction is imperfect.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Empirical Coordination of Quantum Correlations

    quant-ph 2024-12 reject novelty 6.0 of 10

    For a new quantum analogue of empirical coordination, the paper proposes single-letter rate formulas but leaves a central converse unproven.

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