Barnum, Howard and Nielsen, M. A. and Schumacher, Benjamin (1998) Information transmission through a noisy quantum channel. Physical Review A, 57 (6). pp. 4153-4175. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:BARpra98
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Noisy quantum channels may be used in many information-carrying applications. We show that different applications may result in different channel capacities. Upper bounds on several of these capacities are proved. These bounds are based on the coherent information, which plays a role in quantum information theory analogous to that played by the mutual information in classical information theory. Many new properties of the coherent information and entanglement fidelity are proved. Two nonclassical features of the coherent information are demonstrated: the failure of subadditivity, and the failure of the pipelining inequality. Both properties arise as a consequence of quantum entanglement, and give quantum information new features not found in classical information theory. The problem of a noisy quantum channel with a classical observer measuring the environment is introduced, and bounds on the corresponding channel capacity proved. These bounds are always greater than for the unobserved channel. We conclude with a summary of open problems.
|Additional Information:||©1998 The American Physical Society Received 3 March 1997 We thank Carlton M. Caves, Isaac L. Chuang, Richard Cleve, David P. DiVincenzo, Christopher A. Fuchs, E. Knill, and John Preskill for many instructive and enjoyable discussions about quantum information. This work was supported in part by the Office of Naval Research (Grant No. N00014-93-1-0116). We are thankful for the Institute for Theoretical Physics for its hospitality and the support of the National Science Foundation (Grant No. PHY94-07194). M.A.N. acknowledges financial support from the Australian-American Educational Foundation (Fulbright Commission).|
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