Data compression limit for an information source of interacting qubits
<|reference_start|>Data compression limit for an information source of interacting qubits: 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.<|reference_end|>
@article{datta2002data,
    title={Data compression limit for an information source of interacting qubits},
    author={Nilanjana Datta and Yuri Suhov},
    journal={arXiv preprint arXiv:quant-ph/0207069},
    year={2002},
    archivePrefix={arXiv},
    eprint={quant-ph/0207069},
    primaryClass={quant-ph cs.IT math-ph math.IT math.MP}
}