Quantum Incompatibility in Collective Measurements
AbstractWe 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. View Full-Text
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Carmeli, C.; Heinosaari, T.; Reitzner, D.; Schultz, J.; Toigo, A. Quantum Incompatibility in Collective Measurements. Mathematics 2016, 4, 54.
Carmeli C, Heinosaari T, Reitzner D, Schultz J, Toigo A. Quantum Incompatibility in Collective Measurements. Mathematics. 2016; 4(3):54.Chicago/Turabian Style
Carmeli, Claudio; Heinosaari, Teiko; Reitzner, Daniel; Schultz, Jussi; Toigo, Alessandro. 2016. "Quantum Incompatibility in Collective Measurements." Mathematics 4, no. 3: 54.
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