Compressing quantum mixed-state sources by sending classical information
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Publication:4677547
DOI10.1109/TIT.2002.800500zbMath1062.94004arXivquant-ph/0110130MaRDI QIDQ4677547
Publication date: 11 May 2005
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Abstract: We consider visible compression for discrete memoryless sources of mixed quantum states when only classical information can be sent from Alice to Bob. We assume that Bob knows the source statistics, and that Alice and Bob have identical random number generators. We put in an information theoretic framework some recent results on visible compression for sources of states with commuting density operators, and remove the commutativity requirement. We derive a general achievable compression rate, which is for the noncommutative case still higher than the known lower bound. We also present several related problems of classical information theory, and show how they can be used to answer some questions of the mixed state compression problem.
Full work available at URL: https://arxiv.org/abs/quant-ph/0110130
Quantum computation (81P68) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Information theory (general) (94A15)
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