Comment on 'Full revivals in 2D quantum walks'

被引:0
|
作者
Dodangodage, Randika [1 ]
Nanayakkara, Asiri [1 ]
机构
[1] Natl Inst Fundamental Studies, Hanthana Rd, Kandy, Sri Lanka
关键词
D O I
10.1088/1402-4896/aae34b
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the paper Stefanak et al (2010 Phys. Scr. T140 014035) have proved that for any four-state quantum walk, there cannot be cycles longer than two steps. Our investigations reveal that they have not used the most general form of characteristic polynomials in their proof. Consequently, the result is not generally valid and hence there can be quantum walks having cycles longer than two steps.
引用
收藏
页数:2
相关论文
共 50 条
  • [1] Full revivals in 2D quantum walks
    Stefanak, M.
    Kollar, B.
    Kiss, T.
    Jex, I.
    [J]. PHYSICA SCRIPTA, 2010, T140
  • [2] Full state revivals in higher dimensional quantum walks
    Jayakody, Mahesh N.
    Nanayakkara, Asiri
    [J]. PHYSICA SCRIPTA, 2019, 94 (04)
  • [3] Asymptotic entanglement in 2D quantum walks
    Annabestani, M.
    Abolhasani, M. R.
    Abal, G.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (07)
  • [4] Quantum state revivals in quantum walks on cycles
    Dukes, Phillip R.
    [J]. RESULTS IN PHYSICS, 2014, 4 : 189 - 197
  • [5] Maneuvering periods of 2D quantum walks with the coin operator
    Dodangodage, Randika
    Nanayakkara, Asiri
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (09):
  • [6] Maneuvering periods of 2D quantum walks with the coin operator
    Randika Dodangodage
    Asiri Nanayakkara
    [J]. The European Physical Journal Plus, 133
  • [7] Lackadaisical quantum walks on 2D grids with multiple marked vertices
    Nahimovs, Nikolajs
    Santos, Raqueline A. M.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (41)
  • [8] Quantum walks of two correlated photons in a 2D synthetic lattice
    Chiara Esposito
    Mariana R. Barros
    Andrés Durán Hernández
    Gonzalo Carvacho
    Francesco Di Colandrea
    Raouf Barboza
    Filippo Cardano
    Nicolò Spagnolo
    Lorenzo Marrucci
    Fabio Sciarrino
    [J]. npj Quantum Information, 8
  • [9] Quantum walks of two correlated photons in a 2D synthetic lattice
    Esposito, Chiara
    Barros, Mariana R.
    Hernandez, Andres Duran
    Carvacho, Gonzalo
    Di Colandrea, Francesco
    Barboza, Raouf
    Cardano, Filippo
    Spagnolo, Nicolo
    Marrucci, Lorenzo
    Sciarrino, Fabio
    [J]. NPJ QUANTUM INFORMATION, 2022, 8 (01)
  • [10] Revivals in quantum walks with a quasiperiodically-time-dependent coin
    Cedzich, C.
    Werner, R. F.
    [J]. PHYSICAL REVIEW A, 2016, 93 (03)