DocumentCode :
915782
Title :
Application of quantum estimation theory to analog communication over quantum channels
Author :
Personick, Stewart D.
Volume :
17
Issue :
3
fYear :
1971
fDate :
5/1/1971 12:00:00 AM
Firstpage :
240
Lastpage :
246
Abstract :
Recent inquiries into optical communication have raised questions as to the validity of classical detection and estimation theory for weak light fields. Helstrom [1] proposed that the axioms of quantum mechanics be incorporated into a quantum approach to optical estimation and detection. In this paper, we discuss two important results, the quantum equivalent of the minimum-mean-square-error (MMSE) estimator and the quantum Cramér-Rao bound for estimation of the parameters of an electromagnetic field. The first result, a new one, is applied to linear modulation. We show that homodyning is the optimal demodulation scheme in that case. Parallels to the classical MMSE estimator are drawn. The Cramér-Rao bound, first derived in the quantum ease by Helstrom [1], is applied to specific estimation problems. Details are left to the references, but interesting results are presented.
Keywords :
Parameter estimation; Quantum estimation; Eigenvalues and eigenfunctions; Estimation theory; Hilbert space; Optical fiber communication; Parameter estimation; Particle measurements; Performance evaluation; Probability; Quantum mechanics; Telephony;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1971.1054643
Filename :
1054643
Link To Document :
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