No-signaling Principle Can Determine Optimal Quantum State Discrimination

Abstract

We provide a general framework of utilizing the no-signaling principle in derivation of the guessing probability in the minimum-error quantum state discrimination. We show that, remarkably, the guessing probability can be determined by the no-signaling principle. This is shown by proving that in the semidefinite programming for the discrimination, the optimality condition corresponds to the constraint that quantum theory cannot be used for a superluminal communication. Finally, a general bound to the guessing probability is presented in a closed form.

4 pages

References in corpus (6)

• Information Causality as a Physical Principle
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• Recovering part of the quantum boundary from information causality
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