Physics – Quantum Physics
Scientific paper
2001-02-02
Physics
Quantum Physics
8 pages
Scientific paper
10.1088/0305-4470/34/35/330
Certain quantum gates, such as the controlled-NOT gate, are symmetric in terms of the operation of the control system upon the target system and vice versa. However, no operational criteria yet exist for establishing whether or not a given quantum gate is symmetrical in this sense. We consider a restricted, yet broad, class of two-party controlled gate operations for which the gate transforms a reference state of the target into one of an orthogonal set of states. We show that for this class of gates it is possible to establish a simple necessary and sufficient condition for the gate operation to be symmetric.
Huelga Susana F.
Steuernagel Ole
Vaccaro John A.
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