Corpus ID: 237581438

Measuring relational information between quantum states, and applications

@inproceedings{Oszmaniec2021MeasuringRI,
  title={Measuring relational information between quantum states, and applications},
  author={Michał Oszmaniec and Daniel Jost Brod and Ernesto F. Galv{\~a}o},
  year={2021}
}
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… 
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