Universal compression of classically correlated stationary quantum sources

Alexei Kaltchenko; En-Hui Yang

doi:10.1117/12.485663

4 August 2003 Universal compression of classically correlated stationary quantum sources

Alexei Kaltchenko, En-Hui Yang

Proceedings Volume 5105, Quantum Information and Computation; (2003) https://doi.org/10.1117/12.485663
Event: AeroSense 2003, 2003, Orlando, Florida, United States

Abstract

For a real number r > 0, let F(r) be the family of all stationary completely ergodic quantum sources with von Neumann entropy rates less than r. We prove that, for any r > 0, there exists a blind, source-independent block compression scheme which compresses every source from F(r) to rn qubits per input block length n with arbitrarily high fidelity for all large n. As our second result, we show that the stationarity and the ergodicity of a quantum source {ρm}_m=1^∞ are preserved by any trace-preserving completely positive linear map of the tensor product form ε^⊗m, where a copy of ε acts locally on each spin lattice site. We also establish ergodicity criteria for so called classically-correlated quantum sources.

Citation Download Citation

Alexei Kaltchenko and En-Hui Yang "Universal compression of classically correlated stationary quantum sources", Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); https://doi.org/10.1117/12.485663

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