dorsal/arxiv
View SchemaEstimating the post-measurement state
| Authors | Jürgen Audretsch, Lajos Diósi, Thomas Konrad |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210205 |
| URL | https://arxiv.org/abs/quant-ph/0210205 |
| DOI | 10.1103/PhysRevA.68.034302 |
| Journal | Phys. Rev. A68 (2003) 34302-(4) |
Abstract
We study generalized measurements (POVM measurements) on a single d-level quantum system which is in a completely unknown pure state, and derive the best estimate of the post-measurement state. The mean post-measuremement estimation fidelity of a generalized measurement is obtained and related to the operation fidelity of the device. This illustrates how the information gain about the post-measurement state and the corresponding state disturbance are mutually dependent. The connection between the best estimates of the pre- and post-measurement state is established and interpreted. For pure generalized measurements the two states coincide.
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"abstract": "We study generalized measurements (POVM measurements) on a single d-level\nquantum system which is in a completely unknown pure state, and derive the best\nestimate of the post-measurement state. The mean post-measuremement estimation\nfidelity of a generalized measurement is obtained and related to the operation\nfidelity of the device. This illustrates how the information gain about the\npost-measurement state and the corresponding state disturbance are mutually\ndependent. The connection between the best estimates of the pre- and\npost-measurement state is established and interpreted. For pure generalized\nmeasurements the two states coincide.",
"arxiv_id": "quant-ph/0210205",
"authors": [
"J\u00fcrgen Audretsch",
"Lajos Di\u00f3si",
"Thomas Konrad"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.034302",
"journal_ref": "Phys. Rev. A68 (2003) 34302-(4)",
"title": "Estimating the post-measurement state",
"url": "https://arxiv.org/abs/quant-ph/0210205"
},
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