Factorizability of optimal quantum sequence discrimination under maximum-confidence measurements

Abstract

We consider the discrimination of quantum sequences under maximum-confidence measurements and show that the optimal discrimination of a quantum sequence ensemble can always be factorized into that of each individual ensemble. In other words, the optimal quantum sequence discrimination under maximum-confidence measurements can be achieved just by performing a maximum-confidence discrimination independently at each step of the quantum sequence. We also show that the maximum confidence of identifying a quantum sequence is to achieve the maximum confidence of identifying each state comprising the quantum sequence. We further provide a necessary and sufficient condition for the optimal quantum state discrimination under maximum-confidence measurements.

19 pages, 1 figure

References in corpus (12)

• Quantum cryptography: Public key distribution and coin tossing
• Quantum Data Hiding
• Quantum state discrimination and its applications
• Maximum Confidence Quantum Measurements
• Multiple-copy state discrimination: Thinking globally, acting locally
• Exact Identification of a Quantum Change Point
• Generalized quantum state discrimination problems
• Quantum teleportation via maximum-confidence quantum measurements
• Optimized maximum-confidence discrimination of N mixed quantum states and application to symmetric states
• Maximum confidence measurement for qubit states
• Unambiguous discrimination of sequences of quantum states
• Optimal discrimination of quantum sequences