Condition and capability of quantum state separation

Publication Type:
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, 2005, 72 (1)
Issue Date:
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The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in a probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a lower bound on the average failure probability of any quantum state separation. © 2005 The American Physical Society.
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