Quantum comparison machines with one-sided error

Physics – Quantum Physics

Scientific paper

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5 pages, no figures

Scientific paper

10.1023/A:1022196019230

It is always possible to decide, with one-sided error, whether two quantum
states are the same under a specific unitary transformation. However we show
here that it is {\em impossible} to do so if the transformation is anti-linear
and non-singular. This result implies that unitary and anti-unitary operations
exist on an unequal footing in quantum information theory.

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