Name
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. |
Year | Venue | Keywords |
|---|---|---|
2002 | Quantum Information & Computation | arbitrary operator,probabilistic simulation,arbitrary local operation,local operation,equivalence class,probabilistic interconversion,bipartite case,non-local unitary operation,certain kind,multipartite non-local unitary operation,unitary operation,equivalence relation,quantum physics |
Field | DocType | Volume |
Discrete mathematics,Equivalence relation,Finite set,Multipartite,Unitary method,Unitary state,Operator (computer programming),Equivalence class,Probabilistic logic,Mathematics | Journal | 2 |
Issue | ISSN | Citations |
3 | Quantum Information and Computation, Vol. 2, No. 3, 240-254 (2002) | 1 |
PageRank | References | Authors |
0.47 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| W. Dür | 1 | 12 | 2.90 |
| J. I. Cirac | 2 | 1 | 0.47 |