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Optimum testing of multiple hypotheses in quantum detection theoryThe problem of specifying the optimum quantum detector in multiple hypotheses testing is considered for application to optical communications. The quantum digital detection problem is formulated as a linear programming problem on an infinite-dimensional space. A necessary and sufficient condition is derived by the application of a general duality theorem specifying the optimum detector in terms of a set of linear operator equations and inequalities. Existence of the optimum quantum detector is also established. The optimality of commuting detection operators is discussed in some examples. The structure and performance of the optimal receiver are derived for the quantum detection of narrow-band coherent orthogonal and simplex signals. It is shown that modal photon counting is asymptotically optimum in the limit of a large signaling alphabet and that the capacity goes to infinity in the absence of a bandwidth limitation.
Document ID
19750041402
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Yuen, H. P.
Kennedy, R. S.
(MIT Cambridge, Mass., United States)
Lax, M.
(Bell Telephone Laboratories, Inc. Murray Hill, N.J.; City College, New York, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
March 1, 1975
Publication Information
Publication: IEEE Transactions on Information Theory
Volume: IT-21
Subject Category
Cybernetics
Accession Number
75A25474
Funding Number(s)
CONTRACT_GRANT: N00014-73-C-0407
CONTRACT_GRANT: NGL-22-009-013
Distribution Limits
Public
Copyright
Other

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