dorsal/arxiv
View SchemaGeneralized measurements by linear elements
| Authors | John Calsamiglia |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108108 |
| URL | https://arxiv.org/abs/quant-ph/0108108 |
| DOI | 10.1103/PhysRevA.65.030301 |
| Journal | Phys. Rev. A 65, 030301(R) (2002) |
Abstract
I give a first characterization of the class of generalized measurements that can be exactly realized on a pair of qudits encoded in indistinguishable particles, by using only linear elements and particle detectors. Two immediate results follow from this characterization. (i) The Schmidt number of each POVM element cannot exceed the number of initial particles. This rules out any possibility of performing perfect Bell-measurements for qudits. (ii) The maximum probability of performing a generalized incomplete Bell-measurement is 1/2.
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"abstract": "I give a first characterization of the class of generalized measurements that\ncan be exactly realized on a pair of qudits encoded in indistinguishable\nparticles, by using only linear elements and particle detectors. Two immediate\nresults follow from this characterization. (i) The Schmidt number of each POVM\nelement cannot exceed the number of initial particles. This rules out any\npossibility of performing perfect Bell-measurements for qudits. (ii) The\nmaximum probability of performing a generalized incomplete Bell-measurement is\n1/2.",
"arxiv_id": "quant-ph/0108108",
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"John Calsamiglia"
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"doi": "10.1103/PhysRevA.65.030301",
"journal_ref": "Phys. Rev. A 65, 030301(R) (2002)",
"title": "Generalized measurements by linear elements",
"url": "https://arxiv.org/abs/quant-ph/0108108"
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