dorsal/arxiv
View SchemaEquivalence classes of non-local unitary operations
| Authors | W. Dür, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201112 |
| URL | https://arxiv.org/abs/quant-ph/0201112 |
| Journal | Quantum Information and Computation, Vol. 2, No. 3, 240-254 (2002) |
Abstract
We study when a multipartite non--local unitary operation can deterministically or probabilistically simulate another one when local operations of a certain kind -in some cases including also classical communication- are allowed. In the case of probabilistic simulation and allowing for arbitrary local operations, we provide necessary and sufficient conditions for the simulation to be possible. Deterministic and probabilistic interconversion under certain kinds of local operations are used to define equivalence relations between gates. In the probabilistic, bipartite case this induces a finite number of classes. In multiqubit systems, however, two unitary operations typically cannot simulate each other with non-zero probability of success. We also show which kind of entanglement can be created by a given non--local unitary operation and generalize our results to arbitrary operators.
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"abstract": "We study when a multipartite non--local unitary operation can\ndeterministically or probabilistically simulate another one when local\noperations of a certain kind -in some cases including also classical\ncommunication- are allowed. In the case of probabilistic simulation and\nallowing for arbitrary local operations, we provide necessary and sufficient\nconditions for the simulation to be possible. Deterministic and probabilistic\ninterconversion under certain kinds of local operations are used to define\nequivalence relations between gates. In the probabilistic, bipartite case this\ninduces a finite number of classes. In multiqubit systems, however, two unitary\noperations typically cannot simulate each other with non-zero probability of\nsuccess. We also show which kind of entanglement can be created by a given\nnon--local unitary operation and generalize our results to arbitrary operators.",
"arxiv_id": "quant-ph/0201112",
"authors": [
"W. D\u00fcr",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quantum Information and Computation, Vol. 2, No. 3, 240-254 (2002)",
"title": "Equivalence classes of non-local unitary operations",
"url": "https://arxiv.org/abs/quant-ph/0201112"
},
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