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A proof for the informational completeness of the rotated quadrature observables

J Kiukas, P Lahti and J-P Pellonpää

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We give a new mathematically rigorous proof for the fact that, when S is a dense subset of [0, 2π), the rotated quadrature operators Qθ, θ in S, of a single-mode electromagnetic field constitute an informationally complete set of observables.


PACS

03.65.Fd Algebraic methods

03.65.Yz Decoherence; open systems; quantum statistical methods

02.10.Ab Logic and set theory

MSC

81S05 Commutation relations and statistics

78A25 Electromagnetic theory, general

05A05 Combinatorial choice problems (subsets, representatives, permutations)

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis

81R15 Operator algebra methods (See also 46Lxx, 81T05)

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 17 (2 May 2008)

Received 4 December 2007, in final form 18 February 2008

Published 15 April 2008



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