Quantum entropy-typical subspace and universal data compression |
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| Authors: | Jingliang Gao Yanbo Yang |
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| Affiliation: | 1. State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an, 710071, China
2. Xidian University, Xi’an, China
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| Abstract: | The quantum entropy-typical subspace theory is specified. It is shown that any \(\rho ^{\otimes n}\) with von Neumann \(\hbox {entropy}\le h\) can be preserved approximately by the entropy-typical subspace with \(\hbox {entropy}=h\) . 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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