Sequential state discrimination with quantum correlation

Abstract

The sequential unambiguous state discrimination (SSD) of two states prepared in arbitrary prior probabilities is studied, and compared with three strategies that allow classical communication. The deviation from equal probabilities contributes to the success in all the tasks considered. When one considers at least one of the parties succeeds, the protocol with probabilistic cloning is superior to others, which is not observed in the special case with equal prior probabilities. We also investigate the roles of quantum correlations in SSD, and show that the procedure requires discords but rejects entanglement. The left and right discords correspond to the part of information extracted by the first observer and the part left to his successor respectively. Their relative difference is extended by the imbalance of prior probabilities.

arXiv comment16pages, 6figs. We have corrected a mistake in Eq. (7a)

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Cited by in corpus (7)

• Extracting unambiguous information from a single qubit by sequential observers
• Probabilistic resumable quantum teleportation in high dimensions
• Discriminating bipartite mixed states by local operations
• Unambiguous state discrimination with intrinsic coherence
• Discrimination of Coherent States via Atom-Field Interaction without Rotation Wave Approximation
• Conclusive discrimination by $N$ sequential receivers between $r\ge 2$ arbitrary quantum states
• Unbounded entanglement-sustaining sequential local quantum state discrimination