dorsal/arxiv
View SchemaThe characterization of Gaussian operations and Distillation of Gaussian States
| Authors | Géza Giedke, J. Ignacio Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204085 |
| URL | https://arxiv.org/abs/quant-ph/0204085 |
| DOI | 10.1103/PhysRevA.66.032316 |
| Journal | Phys. Rev. A 66, 032316 (2002) |
Abstract
We characterize the class of all physical operations that transform Gaussian states to Gaussian states. We show that this class coincides with that of all operations which can be performed on Gaussian states using linear optical elements and homodyne measurements. For bipartite systems we characterize the processes which can be implemented by local operations and classical communication, as well as those that can be implemented using positive partial transpose preserving maps. As an application, we show that Gaussian states cannot be distilled by local Gaussian operations and classical communication. We also define and characterize positive (but not completely positive) Gaussian maps.
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"abstract": "We characterize the class of all physical operations that transform Gaussian\nstates to Gaussian states. We show that this class coincides with that of all\noperations which can be performed on Gaussian states using linear optical\nelements and homodyne measurements. For bipartite systems we characterize the\nprocesses which can be implemented by local operations and classical\ncommunication, as well as those that can be implemented using positive partial\ntranspose preserving maps. As an application, we show that Gaussian states\ncannot be distilled by local Gaussian operations and classical communication.\nWe also define and characterize positive (but not completely positive) Gaussian\nmaps.",
"arxiv_id": "quant-ph/0204085",
"authors": [
"G\u00e9za Giedke",
"J. Ignacio Cirac"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.66.032316",
"journal_ref": "Phys. Rev. A 66, 032316 (2002)",
"title": "The characterization of Gaussian operations and Distillation of Gaussian States",
"url": "https://arxiv.org/abs/quant-ph/0204085"
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