Decoherence in two-dimensional quantum walks using four- and two-state particles

We study the decoherence effects originating from state flipping and depolarization for two-dimensional discrete-time quantum walks using four- and two-state particles. By comparing the quantum correlations between the two spatial (x − y) degrees of freedom using measurement-induced disturbance, we...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 46; no. 10; pp. 105306 - 20
Main Authors Chandrashekar, C M, Busch, T
Format Journal Article
LanguageEnglish
Published IOP Publishing 15.03.2013
Subjects
Breaking down
Correlation analysis
decoherence
Degrees of freedom
Depolarization
Disturbances
Grover walk
Mathematical analysis
measurement induced disturbance
Particles (of physics)
quantum correlations
quantum walks
Symmetry
Two dimensional
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Summary:We study the decoherence effects originating from state flipping and depolarization for two-dimensional discrete-time quantum walks using four- and two-state particles. By comparing the quantum correlations between the two spatial (x − y) degrees of freedom using measurement-induced disturbance, we show that the two schemes using a two-state particle are more robust against decoherence than the Grover walk, which uses a four-state particle. We also show that the symmetries which hold for two-state quantum walks break down for the Grover walk, adding to the various other advantages of using two-state rather than four-state particles.
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ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/46/10/105306