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arxiv: 1410.5689 · v1 · pith:CFI44VKRnew · submitted 2014-10-21 · 🪐 quant-ph · cs.IT· math.IT

Quantum entropy-typical subspace and universal data compression

classification 🪐 quant-ph cs.ITmath.IT
keywords entropyentropy-typicalsubspacecompressionneumannquantumuniversalapproximately
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The quantum entropy-typical subspace theory is specified. It is shown that any mixed state with von Neumann entropy less than h can be preserved approximately by the entropy-typical subspace with entropy= h. This result implies an universal compression scheme for the case that the von Neumann entropy of the source does not exceed h.

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