dorsal/arxiv
View SchemaImproving information/disturbance and estimation/distortion trade-offs with non universal protocols
| Authors | Stefano Olivares, Matteo G. A. Paris |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611272 |
| URL | https://arxiv.org/abs/quant-ph/0611272 |
| DOI | 10.1088/1751-8113/40/28/S05 |
| Journal | J. Phys. A 40, 7945 (2007) |
Abstract
We analyze in details a conditional measurement scheme based on linear optical components, feed-forward loop and homodyne detection. The scheme may be used to achieve two different tasks. On the one hand it allows the extraction of information with minimum disturbance about a set of coherent states. On the other hand, it represents a nondemolitive measurement scheme for the annihilation operator, i.e. an indirect measurement of the Q-function. We investigate the information/disturbance trade-off for state inference and introduce the estimation/distortion trade-off to assess estimation of the Q-function. For coherent states chosen from a Gaussian set we evaluate both information/disturbance and estimation/distortion trade-offs and found that non universal protocols may be optimized in order to achieve better performances than universal ones. For Fock number states we prove that universal protocols do not exist and evaluate the estimation/distortion trade-off for a thermal distribution.
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"abstract": "We analyze in details a conditional measurement scheme based on linear\noptical components, feed-forward loop and homodyne detection. The scheme may be\nused to achieve two different tasks. On the one hand it allows the extraction\nof information with minimum disturbance about a set of coherent states. On the\nother hand, it represents a nondemolitive measurement scheme for the\nannihilation operator, i.e. an indirect measurement of the Q-function. We\ninvestigate the information/disturbance trade-off for state inference and\nintroduce the estimation/distortion trade-off to assess estimation of the\nQ-function. For coherent states chosen from a Gaussian set we evaluate both\ninformation/disturbance and estimation/distortion trade-offs and found that non\nuniversal protocols may be optimized in order to achieve better performances\nthan universal ones. For Fock number states we prove that universal protocols\ndo not exist and evaluate the estimation/distortion trade-off for a thermal\ndistribution.",
"arxiv_id": "quant-ph/0611272",
"authors": [
"Stefano Olivares",
"Matteo G. A. Paris"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/28/S05",
"journal_ref": "J. Phys. A 40, 7945 (2007)",
"title": "Improving information/disturbance and estimation/distortion trade-offs with non universal protocols",
"url": "https://arxiv.org/abs/quant-ph/0611272"
},
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