Generalized measurement of the non-normal two-boson operator $Z_γ= a_1 + γa_2^†$

dc.creatorParis, Matteo G A
dc.creatorLandolfi, Giulio
dc.creatorSoliani, Giulio
dc.date2007-03-12
dc.date2007-05-09
dc.date.accessioned2026-07-07T08:05:09Z
dc.date.available2026-07-07T08:05:09Z
dc.descriptionWe address the generalized measurement of the two-boson operator $Z_γ= a_1 + γa_2^†$ which, for $|γ|^2 \neq 1$, is not normal and cannot be detected by a joint measurement of quadratures on the two bosons. We explicitly construct the minimal Naimark extension, which involves a single additional bosonic system, and present its decomposition in terms of two-boson linear SU(2) interactions. The statistics of the measurement and the added noise are analyzed in details. Results are exploited to revisit the Caves-Shapiro concept of generalized phase observable based on heterodyne detection.
dc.description8 pages, 2 figures, slightly revised version
dc.identifierhttps://arxiv.org/abs/quant-ph/0703093
dc.identifierhttp://arxiv.org/abs/quant-ph/0703093
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) F531-F537.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130186
dc.subjectQuantum Physics
dc.titleGeneralized measurement of the non-normal two-boson operator $Z_γ= a_1 + γa_2^†$
dc.typetext

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