Compressibility of Mixed-State Signals

Details Compressibility of Mixed-State Signals Compressibility of Mixed-State Signals

2001-03-22

arxiv.org/abs/quant-ph/0103128v1

Physics

Quantum Physics

7 pages, no figure

Scientific paper

10.1103/PhysRevLett.87.017902

We present a formula that determines the optimal number of qubits per message that allows asymptotically faithful compression of the quantum information carried by an ensemble of mixed states. The set of mixed states determines a decomposition of the Hilbert space into the redundant part and the irreducible part. After removing the redundancy, the optimal compression rate is shown to be given by the von Neumann entropy of the reduced ensemble.

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