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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
|
Vol.2 No.3, April 2002 |
Equivalence classes of non-local unitary operations
(pp240-254)
W. Duer and
J. Ignacio Cirac
doi:
https://doi.org/10.26421/QIC2.3-6
Abstracts:
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.
Key words:
unitary operation, entanglement |
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