Quantum universal variable-length source coding

Masahito Hayashi and Keiji Matsumoto
Phys. Rev. A 66, 022311 – Published 26 August 2002
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Abstract

We construct an optimal quantum universal variable-length code that achieves the admissible minimum rate, i.e., our code is used for any probability distribution of quantum states. Its probability of exceeding the admissible minimum rate exponentially goes to 0. Our code is optimal in the sense of its exponent. In addition, its average error asymptotically tends to 0.

  • Received 1 February 2002

DOI:https://doi.org/10.1103/PhysRevA.66.022311

©2002 American Physical Society

Authors & Affiliations

Masahito Hayashi1,* and Keiji Matsumoto2,†

  • 1Laboratory for Mathematical Neuroscience, Brain Science Institute, RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
  • 2Quantum Computation and Information Project, ERATO, JST, 5-28-3, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

  • *Electronic address: masahito@brain.riken.go.jp
  • Electronic address: keiji@qci.jst.go.jp

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Vol. 66, Iss. 2 — August 2002

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