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

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