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Costantino Budroni

University of Vienna and IQOQI Vienna, Austria, costantino.budroni@univie.ac.at

Quantum Contextuality: from logical contradictions to experimental tests

Contextuality refers to the impossibility of reproducing the outcome statistics of freely and independently chosen measurements, under the assumption that ideal measurements reveal pre-existing values that are independent of the context each measurement belongs to.

Originated in the work of Kochen and Specker in the 1960s, this notion has been further developed in the subsequent fifty years by several authors in different directions. In particular, several approaches has been proposed for the problem of performing experimental tests of contextuality.

In this contribution, we provide an overview of some of the main approaches to quantum contextuality and its experimental tests; we address the different definitions of noncontextual hidden variable theories and noncontextuality inequalities, the physical assumptions on measurement operations involved in experimental tests of contextuality, and so on.