Information theory and optimal phase measurement

Jones K.R.W. (1993) Information theory and optimal phase measurement. Physica Scripta, 1993 T48: 100-104. doi:10.1088/0031-8949/1993/T48/015


Author Jones K.R.W.
Title Information theory and optimal phase measurement
Journal name Physica Scripta   Check publisher's open access policy
ISSN 1402-4896
Publication date 1993-01-01
Sub-type Article (original research)
DOI 10.1088/0031-8949/1993/T48/015
Volume 1993
Issue T48
Start page 100
End page 104
Total pages 5
Subject 3104 Condensed Matter Physics
2610 Mathematical Physics
3107 Atomic and Molecular Physics, and Optics
Abstract Using a single mode analysis, we assess the utility of Shannon information as a robust performance criterion for phase detection. To provide a sharp test, we apply it to the Shapiro, Shepard and Wong optimal phase state. This has well-known pathologies, and is thus a good hurdle. Numerical studies show that the SSW-state information gain converges rapidly to the finite value <∆I> ˜ 0.966 bits at infinite photon number. For large photon numbers N the truncated phase state scheme yields <∆I > ˜ log2(2N + 1) 1.220 bits whereas the coherent state scheme returns <∆I> ˜ log2 N1/21.604 bits. Numerical studies confirm these asymptotic formulae and reveal an interesting crossover regime where the coherent state scheme proves superior to the truncated phase state scheme at low photon numbers N ≤ 10. The anomalous behaviour of the SSW-state is studied with the aid of a simple scaling argument.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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Created: Tue, 26 Jul 2016, 03:56:04 EST by System User