Condition and capability of quantum state separation
arXiv:quant-ph/0506021 · doi:10.1103/PhysRevA.72.012313
Abstract
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 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.
6 pages, journal version
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Cited by in corpus (6)
- Quantum Cloning Machines and the Applications
- Minimum-error discrimination between mixed quantum states
- Trace distance from the viewpoint of quantum operation techniques
- Parametric separation of symmetric pure quantum states
- Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results
- Local cloning of two product states