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Quantifying quantumness via commutators: an application to quantum walk (1312.1329v1)
Published 4 Dec 2013 in quant-ph
Abstract: The question of witnessing or quantifying nonclassicality of quantum systems has been addressed in various ways. For a given system or theory, we propose identifying it with the incompatibility of admissible states. We quantify the nonclassicality of quantum systems using the Hilbert-Schmidt norm of the commutator of two states. As a particular application of this measure, we study the classicalization of a discrete-time quantum walk with a noisy coin.
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