dorsal/arxiv
View SchemaInformation/disturbance trade-off in continuous variable Gaussian systems
| Authors | Marco G. Genoni, Matteo G. A. Paris |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601156 |
| URL | https://arxiv.org/abs/quant-ph/0601156 |
| DOI | 10.1103/PhysRevA.74.012301 |
| Journal | Phys. Rev. A 74, 012301 (2006). |
Abstract
We address the information/disturbance trade-off for state-measurements on continuous variable Gaussian systems and suggest minimal schemes for implementations. In our schemes, the symbols from a given alphabet are encoded in a set of Gaussian signals which are coupled to a probe excited in a known state. After the interaction the probe is measured, in order to infer the transmitted state, while the conditional state of the signal is left for the subsequent user. The schemes are minimal, {\em i.e.} involve a single additional probe, and allow for the nondemolitive transmission of a continuous real alphabet over a quantum channel. The trade-off between information gain and state disturbance is quantified by fidelities and, after optimization with respect to the measurement, analyzed in terms of the energy carried by the signal and the probe. We found that transmission fidelity only depends on the energy of the signal and the probe, whereas estimation fidelity also depends on the alphabet size and the measurement gain. Increasing the probe energy does not necessarily lead to a better trade-off, the most relevant parameter being the ratio between the alphabet size and the signal width, which in turn determine the allocation of the signal energy.
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"abstract": "We address the information/disturbance trade-off for state-measurements on\ncontinuous variable Gaussian systems and suggest minimal schemes for\nimplementations. In our schemes, the symbols from a given alphabet are encoded\nin a set of Gaussian signals which are coupled to a probe excited in a known\nstate. After the interaction the probe is measured, in order to infer the\ntransmitted state, while the conditional state of the signal is left for the\nsubsequent user. The schemes are minimal, {\\em i.e.} involve a single\nadditional probe, and allow for the nondemolitive transmission of a continuous\nreal alphabet over a quantum channel. The trade-off between information gain\nand state disturbance is quantified by fidelities and, after optimization with\nrespect to the measurement, analyzed in terms of the energy carried by the\nsignal and the probe. We found that transmission fidelity only depends on the\nenergy of the signal and the probe, whereas estimation fidelity also depends on\nthe alphabet size and the measurement gain. Increasing the probe energy does\nnot necessarily lead to a better trade-off, the most relevant parameter being\nthe ratio between the alphabet size and the signal width, which in turn\ndetermine the allocation of the signal energy.",
"arxiv_id": "quant-ph/0601156",
"authors": [
"Marco G. Genoni",
"Matteo G. A. Paris"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.012301",
"journal_ref": "Phys. Rev. A 74, 012301 (2006).",
"title": "Information/disturbance trade-off in continuous variable Gaussian systems",
"url": "https://arxiv.org/abs/quant-ph/0601156"
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