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Quantum coding

作者:Benjamin W. Schumacher · 发表于:Physical Review A · 年份:1995 · DOI:10.1103/physreva.51.2738 · 被引用次数:1074 · 研究领域:Quantum Mechanics and Applications、Quantum Information and Cryptography、Quantum Computing Algorithms and Architecture

A theorem is proven for quantum information theory that is analogous to the noiseless coding theorem of classical information theory. In the quantum result, the von Neumann entropy S of the density operator describing an ensemble of pure quantum signal states is equal to the number of spin-1/2 systems (``quantum bits'' or ``qubits'') necessary to represent the signal faithfully. The theorem holds whether or not the signal states are orthogonal. Related results are also presented about the fidelity of quantum coding and about representing entangled quantum states.