Sharing quantum indistinguishability with multiple parties

TL;DR

This paper introduces a sequential state-discrimination scheme enabling multiple parties to share quantum uncertainty using weak measurements, advancing quantum resource sharing and understanding of sequential information extraction.

Contribution

It presents a novel scheme based on maximum-confidence measurements that allows multiple parties to share quantum indistinguishability on a single system.

Findings

The scheme enables multiple parties to perform state discrimination sequentially.

It utilizes weak measurements to preserve quantum uncertainty for subsequent parties.

Examples demonstrate the scheme's effectiveness with symmetric and asymmetric ensembles.

Abstract

Quantum indistinguishability of non-orthogonal quantum states is a valuable resource in quantum information applications such as cryptography and randomness generation. In this article, we present a sequential state-discrimination scheme that enables multiple parties to share quantum uncertainty, in terms of the max relative entropy, generated by a single party. Our scheme is based upon maximum-confidence measurements and takes advantages of weak measurements to allow a number of parties to perform state discrimination on a single quantum system. We review known sequential state discrimination and show how our scheme would work through a number of examples where ensembles may or may not contain symmetries. Our results will have a role to play in understanding the ultimate limits of sequential information extraction and guide the development of quantum resource sharing in sequential settings.