L09.00012. Optimal data compression using quantum dynamical entropy

Presented by: George Androulakis


Abstract

In this talk I present joint work with Duncan Wright on lossless quantum data compression of strings of pure quantum states. The best compression rate is defined via indeterminate-length quantum encodings which were introduced by Schumacher and Westmoreland. Past work has assumed that the strings of quantum data are prepared to be encoded in an independent and identically distributed way. We study not-necessarily i.i.d. quantum sources. For such sources we define a quantum dynamical system and a Positive Operator Valued Measure such that their quantum dynamical entropy is equal to the best compression rate of the quantum source using indeterminate length quantum encodings.

Authors

  • George Androulakis
  • Duncan Wright


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