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        A class of Symmetric controlled quantum operations

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        900652.pdf (PDF, 139Kb)
        Author
        Steuernagel, O.
        Huelga, S.F.
        Attention
        2299/402
        Abstract
        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.
        Publication date
        2001
        Published in
        Journal of Physics A
        Published version
        https://doi.org/10.1088/0305-4470/34/35/330
        Other links
        http://hdl.handle.net/2299/402
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