Data compression limit for an information source of interacting qubits

Details Data compression limit for an information source of interacting qubits Data compression limit for an information source of interacting qubits

2002-07-11

arxiv.org/abs/quant-ph/0207069v2

Physics

Quantum Physics

22 pages, LaTex file ; Theorem 2 modified

Scientific paper

A system of interacting qubits can be viewed as a non-i.i.d quantum information source. A possible model of such a source is provided by a quantum spin system, in which spin-1/2 particles located at sites of a lattice interact with each other. We establish the limit for the compression of information from such a source and show that asymptotically it is given by the von Neumann entropy rate. Our result can be viewed as a quantum analog of Shannon's noiseless coding theorem for a class of non - i.i.d. quantum information sources.

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