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Quantum state comparison and the universal-NOT operation

Barnett, Stephen M. (2010) Quantum state comparison and the universal-NOT operation. Journal of Modern Optics, 57 (3). pp. 227-231. ISSN 0950-0340

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Abstract

We show that the form of the optimal universal-NOT operation for a single qubit can be determined by considering quantum-limited state comparison. Similarly, optimal state comparison can be derived from the properties of the universal-NOT. This points to the possibility of a fundamental link between these processes.