dorsal/arxiv
View SchemaQuantum erasure of decoherence
| Authors | F. Buscemi, G. Chiribella, G. M. D'Ariano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611070 |
| URL | https://arxiv.org/abs/quant-ph/0611070 |
| DOI | 10.1007/s11080-007-9028-4 |
| Journal | Open Sys. & Information Dyn. 14, 53 (2007) |
Abstract
We consider the classical algebra of observables that are diagonal in a given orthonormal basis, and define a complete decoherence process as a completely positive map that asymptotically converts any quantum observable into a diagonal one, while preserving the elements of the classical algebra. For quantum systems in dimension two and three any decoherence process can be undone by collecting classical information from the environment and using such an information to restore the initial system state. As a relevant example, we illustrate the quantum eraser of Scully et al. [Nature 351, 111 (1991)] as an example of environment-assisted correction. Moreover, we present the generalization of the eraser setup for d-dimensional systems, showing that any von Neumann measurement on a system can be undone by a complementary measurement on the environment.
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"abstract": "We consider the classical algebra of observables that are diagonal in a given\northonormal basis, and define a complete decoherence process as a completely\npositive map that asymptotically converts any quantum observable into a\ndiagonal one, while preserving the elements of the classical algebra. For\nquantum systems in dimension two and three any decoherence process can be\nundone by collecting classical information from the environment and using such\nan information to restore the initial system state. As a relevant example, we\nillustrate the quantum eraser of Scully et al. [Nature 351, 111 (1991)] as an\nexample of environment-assisted correction. Moreover, we present the\ngeneralization of the eraser setup for d-dimensional systems, showing that any\nvon Neumann measurement on a system can be undone by a complementary\nmeasurement on the environment.",
"arxiv_id": "quant-ph/0611070",
"authors": [
"F. Buscemi",
"G. Chiribella",
"G. M. D\u0027Ariano"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s11080-007-9028-4",
"journal_ref": "Open Sys. \u0026 Information Dyn. 14, 53 (2007)",
"title": "Quantum erasure of decoherence",
"url": "https://arxiv.org/abs/quant-ph/0611070"
},
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