dorsal/arxiv
View SchemaDistinguishing two single-mode Gaussian states by homodyne detection: An information-theoretic approach
| Authors | Hyunchul Nha, H. J. Carmichael |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410111 |
| URL | https://arxiv.org/abs/quant-ph/0410111 |
| DOI | 10.1103/PhysRevA.71.032336 |
| Journal | Phys. Rev. A 71, 032336 (2005) |
Abstract
It is known that the quantum fidelity, as a measure of the closeness of two quantum states, is operationally equivalent to the minimal overlap of the probability distributions of the two states over all possible POVMs; the POVM realizing the minimum is optimal. We consider the ability of homodyne detection to distinguish two single-mode Gaussian states, and investigate to what extent it is optimal in this information-theoretic sense. We completely identify the conditions under which homodyne detection makes an optimal distinction between two single-mode Gaussian states of the same mean, and show that if the Gaussian states are pure, they are always optimally distinguished.
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"abstract": "It is known that the quantum fidelity, as a measure of the closeness of two\nquantum states, is operationally equivalent to the minimal overlap of the\nprobability distributions of the two states over all possible POVMs; the POVM\nrealizing the minimum is optimal. We consider the ability of homodyne detection\nto distinguish two single-mode Gaussian states, and investigate to what extent\nit is optimal in this information-theoretic sense. We completely identify the\nconditions under which homodyne detection makes an optimal distinction between\ntwo single-mode Gaussian states of the same mean, and show that if the Gaussian\nstates are pure, they are always optimally distinguished.",
"arxiv_id": "quant-ph/0410111",
"authors": [
"Hyunchul Nha",
"H. J. Carmichael"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032336",
"journal_ref": "Phys. Rev. A 71, 032336 (2005)",
"title": "Distinguishing two single-mode Gaussian states by homodyne detection: An information-theoretic approach",
"url": "https://arxiv.org/abs/quant-ph/0410111"
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