Measurement does not always aid state discrimination

Abstract

We have investigated the problem of discriminating between nonorthogonal quantum states with least probability of error. We have determined that the best strategy for some sets of states is to make no measurement at all, and simply to always assign the most commonly occurring state. Conditions which describe such sets of states have been derived.

3 pages

References in corpus (4)

• Accessible information and optimal strategies for real symmetrical quantum sources
• Minimum-error discrimination between three mirror-symmetric states
• Experimental realization of optimal detection strategies for overcomplete states
• Optimum detection for extracting maximum information from symmetric qubit sets

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• Cryptography in a Quantum World
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• Distinguishability, Ensemble Steering, and the No-Signaling Principle
• Geometric Bloch Vector Solution to Minimum Error Discriminations of Mixed Qubit States
• Quantum communications in continuous variable systems
• Single-Copy Certification of Two-Qubit Gates without Entanglement
• Qubit State Discrimination using Post-measurement Information
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