Perfect Distinguishability of Quantum Operations

The American Physical Society
Publication Type:
Journal article
Duan Runyao, Feng Yuan, and Ying Mingsheng 2009, 'Perfect Distinguishability of Quantum Operations', The American Physical Society, vol. 103, no. 21, pp. 210501-1-210501-4.
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We provide a feasible necessary and sufficient condition for when an unknown quantum operation (quantum device) secretly selected from a set of known quantum operations can be identified perfectly within a finite number of queries, and thus complete the characterization of the perfect distinguishability of quantum operations. We further design an optimal protocol which can achieve the perfect discrimination between two quantum operations by a minimal number of queries. Interestingly, we find that an optimal perfect discrimination between two isometries is always achievable without auxiliary systems or entanglement.
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