Unitary equivalence of quantum walks

Sandeep K. Goyal, Thomas Konrad, L. Diósi

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A simple coined quantum walk in one dimension can be characterized by a SU(2) operator with three parameters which represents the coin toss. However, different such coin toss operators lead to equivalent dynamics of the quantum walker. In this manuscript we present the unitary equivalence classes of quantum walks and show that all the nonequivalent quantum walks can be distinguished by a single parameter. Moreover, we argue that the electric quantum walks are equivalent to quantum walks with time dependent coin toss operator.

Original languageEnglish
Pages (from-to)100-104
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume379
Issue number3
DOIs
Publication statusPublished - Jan 23 2015

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Unitary equivalence of quantum walks. / Goyal, Sandeep K.; Konrad, Thomas; Diósi, L.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 379, No. 3, 23.01.2015, p. 100-104.

Research output: Contribution to journalArticle

Goyal, Sandeep K. ; Konrad, Thomas ; Diósi, L. / Unitary equivalence of quantum walks. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2015 ; Vol. 379, No. 3. pp. 100-104.
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