About: STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE     Goto   Sponge   NotDistinct   Permalink

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Description
  • Evolution operators of certain quantum walks possess, apart from the continuous part, also a point spectrum. The existence of eigenvalues and the corresponding stationary states lead to partial trapping of the walker in the vicinity of the origin. We analyze the stability of this feature for three-state quantum walks on a line subject to homogenous coin deformations. We find two classes of coin operators that preserve the point spectrum. These new classes of coins are generalizations of coins found previously by different methods and shed light on the rich spectrum of coins that can drive discrete-time quantum walks.
  • Evolution operators of certain quantum walks possess, apart from the continuous part, also a point spectrum. The existence of eigenvalues and the corresponding stationary states lead to partial trapping of the walker in the vicinity of the origin. We analyze the stability of this feature for three-state quantum walks on a line subject to homogenous coin deformations. We find two classes of coin operators that preserve the point spectrum. These new classes of coins are generalizations of coins found previously by different methods and shed light on the rich spectrum of coins that can drive discrete-time quantum walks. (en)
Title
  • STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE
  • STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE (en)
skos:prefLabel
  • STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE
  • STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE (en)
skos:notation
  • RIV/68407700:21340/14:00219879!RIV15-MSM-21340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA13-33906S), P(GP14-02901P), S, Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 13-14
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 46958
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/14:00219879
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quantum walk; localization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [E6AF7AF04327]
http://linked.open...i/riv/nazevZdroje
  • Quantum Information and Computation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Jex, Igor
  • Barnett, S. M.
  • Štefaňák, Martin
  • Bezděková, Iva
http://linked.open...ain/vavai/riv/wos
  • 000340579900011
http://linked.open...n/vavai/riv/zamer
issn
  • 1533-7146
number of pages
http://localhost/t...ganizacniJednotka
  • 21340
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