dorsal/arxiv
View SchemaOn the impossibility of distilling Gaussian states with Gaussian operations
| Authors | J. Eisert, S. Scheel, M. B. Plenio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204052 |
| URL | https://arxiv.org/abs/quant-ph/0204052 |
| DOI | 10.1103/PhysRevLett.89.137903 |
| Journal | Phys. Rev. Lett. 89, 137903 (2002) |
Abstract
We show that no distillation protocol for Gaussian quantum states exists that relies on (i) arbitrary local unitary operations that preserve the Gaussian character of the state and (ii) homodyne detection together with classical communication and postprocessing by means of local Gaussian unitary operations on two symmetric identically prepared copies. This is in contrast to the finite-dimensional case, where entanglement can be distilled in an iterative protocol using two copies at a time. The ramifications for the distribution of Gaussian states over large distances will be outlined. We also comment on the generality of the approach and sketch the most general form of a Gaussian local operation with classical communication in a bipartite setting.
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"abstract": "We show that no distillation protocol for Gaussian quantum states exists that\nrelies on (i) arbitrary local unitary operations that preserve the Gaussian\ncharacter of the state and (ii) homodyne detection together with classical\ncommunication and postprocessing by means of local Gaussian unitary operations\non two symmetric identically prepared copies. This is in contrast to the\nfinite-dimensional case, where entanglement can be distilled in an iterative\nprotocol using two copies at a time. The ramifications for the distribution of\nGaussian states over large distances will be outlined. We also comment on the\ngenerality of the approach and sketch the most general form of a Gaussian local\noperation with classical communication in a bipartite setting.",
"arxiv_id": "quant-ph/0204052",
"authors": [
"J. Eisert",
"S. Scheel",
"M. B. Plenio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.89.137903",
"journal_ref": "Phys. Rev. Lett. 89, 137903 (2002)",
"title": "On the impossibility of distilling Gaussian states with Gaussian operations",
"url": "https://arxiv.org/abs/quant-ph/0204052"
},
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