Measuring relational information between quantum states, and applications

Michał Oszmaniec, E. F. Galvão, Daniel J. Brod

Publication date: 21 September 2021

Abstract: The geometrical arrangement of a set of quantum states can be completely characterized using relational information only. This information is encoded in the pairwise state overlaps, as well as in Bargmann invariants of higher degree written as traces of products of density matrices. We describe how to measure Bargmann invariants using suitable generalizations of the SWAP test. This allows for a complete and robust characterization of the projective-unitary invariant properties of any set of pure or mixed states. As applications, we describe basis-independent tests for linear independence, coherence, and imaginarity. We also show that Bargmann invariants can be used to characterize multi-photon indistinguishability.

This page was built for publication: Measuring relational information between quantum states, and applications

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6378155)