Optimal Quantum State Estimation with Use of the No-Signaling Principle

Abstract

A simple derivation of the optimal state estimation of a quantum bit was obtained by using the no-signaling principle. In particular, the no-signaling principle determines a unique form of the guessing probability independently of figures of merit, such as the fidelity or information gain. This proves that the optimal estimation for a quantum bit can be achieved by the same measurement for almost all figures of merit.

3 pages, 1 figure

References in corpus (2)

• No-Signalling Bound on Quantum State Discrimination
• Minimum-error multiple state discrimination constrained by the no-signaling principle

Cited by in corpus (3)

• Quantum Cloning Machines and the Applications
• Quantum State Discrimination with General Figures of Merit
• How to Device-Independently Generate States for Which Unambiguous State Discrimination is Impossible