Experimentally testable geometric phase of sequences of Everett's relative quantum states

TL;DR

This paper introduces a geometric phase based on Everett's relative state concept, which depends on entanglement and can be measured experimentally in multiparticle interferometry, with a generalization to mixed states.

Contribution

It presents a novel geometric phase linked to entanglement in pure states and proposes its measurement method, extending to mixed states.

Findings

Geometric phase depends nontrivially on entanglement.

Measurement of the phase is feasible via multiparticle interferometry.

A correlation-dependent generalization to mixed states is outlined.

Abstract

Everett's concept of relative state is used to introduce a geometric phase that depends nontrivially on entanglement in a pure quantum state. We show that this phase can be measured in multiparticle interferometry. A correlation-dependent generalization of the relative state geometric phase to mixed quantum states is outlined.