dorsal/arxiv
View SchemaExtremality of Gaussian quantum states
| Authors | Michael M. Wolf, Geza Giedke, J. Ignacio Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509154 |
| URL | https://arxiv.org/abs/quant-ph/0509154 |
| DOI | 10.1103/PhysRevLett.96.080502 |
| Journal | Phys. Rev. Lett. 96, 080502 (2006) |
Abstract
We investigate Gaussian quantum states in view of their exceptional role within the space of all continuous variables states. A general method for deriving extremality results is provided and applied to entanglement measures, secret key distillation and the classical capacity of Bosonic quantum channels. We prove that for every given covariance matrix the distillable secret key rate and the entanglement, if measured appropriately, are minimized by Gaussian states. This result leads to a clearer picture of the validity of frequently made Gaussian approximations. Moreover, it implies that Gaussian encodings are optimal for the transmission of classical information through Bosonic channels, if the capacity is additive.
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"abstract": "We investigate Gaussian quantum states in view of their exceptional role\nwithin the space of all continuous variables states. A general method for\nderiving extremality results is provided and applied to entanglement measures,\nsecret key distillation and the classical capacity of Bosonic quantum channels.\nWe prove that for every given covariance matrix the distillable secret key rate\nand the entanglement, if measured appropriately, are minimized by Gaussian\nstates. This result leads to a clearer picture of the validity of frequently\nmade Gaussian approximations. Moreover, it implies that Gaussian encodings are\noptimal for the transmission of classical information through Bosonic channels,\nif the capacity is additive.",
"arxiv_id": "quant-ph/0509154",
"authors": [
"Michael M. Wolf",
"Geza Giedke",
"J. Ignacio Cirac"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevLett.96.080502",
"journal_ref": "Phys. Rev. Lett. 96, 080502 (2006)",
"title": "Extremality of Gaussian quantum states",
"url": "https://arxiv.org/abs/quant-ph/0509154"
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