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Quantifying quantumness via commutators: an application to quantum walk · Around

2013

Quantifying quantumness via commutators: an application to quantum walk

Iyengar, Pavan, Chandan, G. N., Srikanth, R.

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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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