dorsal/arxiv
View SchemaGeneralized measurement of the non-normal two-boson operator $Z_\gamma = a_1 + \gamma a_2^\dag$
| Authors | Matteo G A Paris, Giulio Landolfi, Giulio Soliani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703093 |
| URL | https://arxiv.org/abs/quant-ph/0703093 |
| Journal | J. Phys. A: Math. Theor. 40 (2007) F531-F537. |
Abstract
We address the generalized measurement of the two-boson operator $Z_\gamma= a_1 + \gamma a_2^\dag$ which, for $|\gamma|^2 \neq 1$, 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.
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"abstract": "We address the generalized measurement of the two-boson operator $Z_\\gamma=\na_1 + \\gamma a_2^\\dag$ which, for $|\\gamma|^2 \\neq 1$, is not normal and cannot\nbe detected by a joint measurement of quadratures on the two bosons. We\nexplicitly construct the minimal Naimark extension, which involves a single\nadditional bosonic system, and present its decomposition in terms of two-boson\nlinear SU(2) interactions. The statistics of the measurement and the added\nnoise are analyzed in details. Results are exploited to revisit the\nCaves-Shapiro concept of generalized phase observable based on heterodyne\ndetection.",
"arxiv_id": "quant-ph/0703093",
"authors": [
"Matteo G A Paris",
"Giulio Landolfi",
"Giulio Soliani"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Phys. A: Math. Theor. 40 (2007) F531-F537.",
"title": "Generalized measurement of the non-normal two-boson operator $Z_\\gamma = a_1 + \\gamma a_2^\\dag$",
"url": "https://arxiv.org/abs/quant-ph/0703093"
},
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