Quantum information and correlation bounds

被引:76
作者
Hall, MJW
机构
[1] Department of Theoretical Physics, Institute of Advanced Studies, Australian National University, Canberra
关键词
D O I
10.1103/PhysRevA.55.100
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
This paper is primarily concerned with the development and application of quantum bounds on mutual information, although some of the methods developed can be applied to any figure of merit indicating degree of correlation such as coincidence rate, Three basic techniques for obtaining bounds an described: mappings between joint-measurement and communication correlation contexts; a duality relation for quantum ensembles and quantum measurements; and an information exclusion principle [M. J. W. Hall, Phys. Rev. Lett. 74, 3307 (1995)]. Results include a proof of Holevo's communication bound from a joint-measurement inequality; a measurement-dependent dual to Holevo's bound; lower bounds for mutual information under ensemble and measurement constraints; information exclusion relations for measurements described by probability-operator measures; a proof that Glauber coherent states are optimal signal states for quantum communication based on (noisy) optical heterodyne detection; and an information inequality for quantum eavesdropping. Relations between the three techniques are used to further obtain upper bounds for quantum information, and to extend the information exclusion principle to a joint-measurement context.
引用
收藏
页码:100 / 113
页数:14
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