dorsal/arxiv
View SchemaImplementing Non-Projective Measurements via Linear Optics: an Approach Based on Optimal Quantum State Discrimination
| Authors | Peter van Loock, Kae Nemoto, William J. Munro, Philippe Raynal, Norbert Lütkenhaus |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510163 |
| URL | https://arxiv.org/abs/quant-ph/0510163 |
| DOI | 10.1103/PhysRevA.73.062320 |
| Journal | Phys. Rev. A 73, 062320 (2006) |
Abstract
We discuss the problem of implementing generalized measurements (POVMs) with linear optics, either based upon a static linear array or including conditional dynamics. In our approach, a given POVM shall be identified as a solution to an optimization problem for a chosen cost function. We formulate a general principle: the implementation is only possible if a linear-optics circuit exists for which the quantum mechanical optimum (minimum) is still attainable after dephasing the corresponding quantum states. The general principle enables us, for instance, to derive a set of necessary conditions for the linear-optics implementation of the POVM that realizes the quantum mechanically optimal unambiguous discrimination of two pure nonorthogonal states. This extends our previous results on projection measurements and the exact discrimination of orthogonal states.
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"abstract": "We discuss the problem of implementing generalized measurements (POVMs) with\nlinear optics, either based upon a static linear array or including conditional\ndynamics. In our approach, a given POVM shall be identified as a solution to an\noptimization problem for a chosen cost function. We formulate a general\nprinciple: the implementation is only possible if a linear-optics circuit\nexists for which the quantum mechanical optimum (minimum) is still attainable\nafter dephasing the corresponding quantum states. The general principle enables\nus, for instance, to derive a set of necessary conditions for the linear-optics\nimplementation of the POVM that realizes the quantum mechanically optimal\nunambiguous discrimination of two pure nonorthogonal states. This extends our\nprevious results on projection measurements and the exact discrimination of\northogonal states.",
"arxiv_id": "quant-ph/0510163",
"authors": [
"Peter van Loock",
"Kae Nemoto",
"William J. Munro",
"Philippe Raynal",
"Norbert L\u00fctkenhaus"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062320",
"journal_ref": "Phys. Rev. A 73, 062320 (2006)",
"title": "Implementing Non-Projective Measurements via Linear Optics: an Approach Based on Optimal Quantum State Discrimination",
"url": "https://arxiv.org/abs/quant-ph/0510163"
},
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