Work

Quantum Incompatibility in Collective Measurements

Year: 2016

Type: article

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.

Source: Mathematics

DOI: 10.3390/math4030054

Authors: Claudio Carmeli, Teiko Heinosaari, Daniel Reitzner, Jussi Schultz, Alessandro Toigo

Institutions: University of Genoa, University of Turku, Slovak Academy of Sciences, Institute of Physics of the Slovak Academy of Sciences, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Politecnico di Milano

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Agentúra na Podporu Výskumu a Vývoja