Compressing quantum mixed-state sources by sending classical information

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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 access to the same source of random numbers. 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.

Original languageEnglish (US)
Pages (from-to)2263-2275
Number of pages13
JournalIEEE Transactions on Information Theory
Volume48
Issue number8
DOIs
StatePublished - Aug 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Keywords

  • Data compression
  • Mixed-state sources
  • Quantum information theory

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