Tilted phase-space measurements in the eight-port homodyne detection scheme

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.052121· OSTI ID:21528578

Lahti, Pekka; Schultz, Jussi ^[1]

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1. Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turku (Finland)

We show that the phase shift of ({pi}/2) is crucial for the phase-space translation covariance of the measured high-amplitude limit observable in eight-port homodyne detection. However, for an arbitrary phase shift {theta} we construct explicitly a different nonequivalent projective representation of R{sup 2} such that the observable is covariant with respect to this representation. As a result we are able to determine the measured observable for an arbitrary parameter field and phase shift. Geometrically the change in the phase shift corresponds to the tilting of one axis in the phase space of the system.

• OSTI ID: 21528578
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DETECTION
MATHEMATICAL SPACE
PHASE SHIFT
PHASE SPACE
SPACE