A1 Journal article – refereed
Quantum Incompatibility in Collective Measurements




List of Authors: Claudio Carmeli, Teiko Heinosaari, Daniel Reitzner, Jussi Schultz, Alessandro Toigo
Publisher: MDPI AG
Publication year: 2016
Journal: Mathematics
Volume number: 4
Issue number: 3
eISSN: 2227-7390

Abstract

We study the compatibility (or joint measurability) of quantum observables in a setting where the experimenter has access to multiple copies of a given quantum system, rather than performing the experiments on each individual copy separately. We introduce the index of incompatibility as a quantifier of incompatibility in this multi-copy setting, as well as the notion of the compatibility stack representing various compatibility relations present in a given set of observables. We then prove a general structure theorem for multi-copy joint observables and use it to prove that all abstract compatibility stacks with three vertices have realizations in terms of quantum observables.


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Last updated on 2019-20-07 at 17:09