Optimality of minimum-error discrimination by the no-signalling condition

Abstract

In this work we relate the well-known no-go theorem that two non-orthogonal (mixed) quantum states cannot be perfectly discriminated, to the general principle in physics, the no-signalling condition. In fact, we derive the minimum error in discrimination between two quantum states, using the no-signalling condition.

4 pages, 1 figure

References in corpus (2)

• Asymptotic quantum cloning is state estimation
• No-Signalling Bound on Quantum State Discrimination

Cited by in corpus (9)

• Quantum state discrimination and its applications
• Quantum mechanics emerges from information theory applied to causal horizons
• Structure of Optimal State Discrimination in Generalized Probabilistic Theories
• Minimum-error multiple state discrimination constrained by the no-signaling principle
• Distinguishability, Ensemble Steering, and the No-Signaling Principle
• Optimal Quantum State Estimation with Use of the No-Signaling Principle
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Signaling versus distinguishing different superpositions of same pure quantum state
• Quantum State Discrimination with General Figures of Merit