The Data Compression Theorem for Ergodic Quantum Information Sources

  • Authors:

  • Igor Bjelaković;Arleta Szkola

  • Affiliations:

  • Institut für Mathematik, Technische Universität Berlin Fakultät II - Mathematik und Naturwissenschaften, Juni, Germany 136 10623;Institut für Mathematik, Technische Universität Berlin Fakultät II - Mathematik und Naturwissenschaften, Juni, Germany 136 10623

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2005

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Abstract

We extend the data compression theorem to the case of ergodic quantum information sources. Moreover, we provide an asymptotically optimal compression scheme which is based on the concept of high probability subspaces. The rate of this compression scheme is equal to the von Neumann entropy rate.