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A Study of Wigner Functions for Discrete-Time Quantum Walks

AuthorsPérez Cañellas, Armando ; Bañuls Polo, M. Carmen; Hinarejos Doménech, Margarida
KeywordsQuantum Walk
Wigner Function
Issue Date1-Jul-2013
PublisherAmerican Scientific Publishers
CitationJournal of Computational and Theoretical Nanoscience 10 (7): 1626-1633 (2013)
AbstractWe perform a systematic study of the discrete time Quantum Walk on one dimension using Wigner functions, which are generalized to include the chirality (or coin) degree of freedom. In particular, we analyze the evolution of the negative volume in phase space, as a function of time, for different initial states. This negativity can be used to quantify the degree of departure of the system from a classical state. We also relate this quantity to the entanglement between the coin and walker subspaces.
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