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Frontiers in Optics

Measurement-Induced Disturbance for a Variety of Projector Operators

Asma Al-Qasimi

Published Jan 1, 2011• 1 citation
Publisher

Abstract

Like Discord, Measurement-Induced Disturbance (MID) is defined based on the fact that measurements disturb quantum systems. However, MID is symmetric and involves no maximizations. I investigate various MID projectors selected for realistic systems.
DOI
10.1364/fio.2011.fmf2

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Noisy quantum walks are studied from the perspective of comparing their quantumness as defined by two popular measures, measurement-induced disturbance (MID) and quantum discord (QD). While the former has an operational definition, unlike the latter, it also tends to overestimate nonclassicality because of a lack of optimization over local measurements. Applied to quantum walks, we find that MID, while acting as a loose upper bound on QD, still tends to reflect correctly trends in the behavior of the latter. However, there are regimes where its behavior is not indicative of nonclassicality: in particular, we find an instance where MID increases with the application of noise, where we expect a reduction of quantumness.
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