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Volumn 11, Issue 5-6, 2011, Pages 0485-0495

Localization of discrete-time quantum walks on a half line via the CGMV method

Author keywords

CMV matrix; Localization; Quantum walk

Indexed keywords

COMPUTATIONAL METHODS; INFORMATION SYSTEMS;

EID: 84856445420     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (28)

References (29)
  • 2
    • 8744268774 scopus 로고    scopus 로고
    • Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
    • M. J. Cantero, L. Moral and L. Velázquez (2003), Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle, Linear Algebra and its Applications, 362, 29-56.
    • (2003) Linear Algebra and Its Applications , vol.362 , pp. 29-56
    • Cantero, M.J.1    Moral, L.2    Velázquez, L.3
  • 4
    • 0030516675 scopus 로고    scopus 로고
    • From quantum cellular automata to quantum lattice gases
    • D. A. Meyer (1996), From quantum cellular automata to quantum lattice gases, Journal of Statistical Physics, 85, 551-574.
    • (1996) Journal of Statistical Physics , vol.85 , pp. 551-574
    • Meyer, D.A.1
  • 6
    • 27144517967 scopus 로고    scopus 로고
    • Quantum walks and orbital states of a Weyl particle
    • M. Katori, S. Fujino and N. Konno (2005), Quantum walks and orbital states of a Weyl particle, Physical Review A, 72, 012316.
    • (2005) Physical Review A , vol.72 , pp. 012316
    • Katori, M.1    Fujino, S.2    Konno, N.3
  • 7
    • 34548378688 scopus 로고    scopus 로고
    • Relativistic effects and rigorous limits for discrete and continuous-time quantum walks
    • F. W. Strauch (2007), Relativistic effects and rigorous limits for discrete and continuous-time quantum walks, Journal of Mathematical Physics, 48, 082102.
    • (2007) Journal of Mathematical Physics , vol.48 , pp. 082102
    • Strauch, F.W.1
  • 8
    • 74949089287 scopus 로고    scopus 로고
    • Dirac equation with an ultraviolet cutoff and a quantum walk
    • F. Sato and M. Katori (2010), Dirac equation with an ultraviolet cutoff and a quantum walk, Physical Review A, 81, 012314.
    • (2010) Physical Review A , vol.81 , pp. 012314
    • Sato, F.1    Katori, M.2
  • 9
    • 51349118528 scopus 로고    scopus 로고
    • Relativistic effects in quantum walks: Klein's paradox and Zitterbewegung
    • P. Kurzynski (2009), Relativistic effects in quantum walks: Klein's paradox and Zitterbewegung, Physics Letters A, 372, 6125.
    • (2009) Physics Letters A , vol.372 , pp. 6125
    • Kurzynski, P.1
  • 10
    • 77954181427 scopus 로고    scopus 로고
    • Relationship between quantum walk and relativistic quantum mechanics
    • C. M. Chandrashekar, S. Banerjee and R. Srikanth (2010), Relationship between quantum walk and relativistic quantum mechanics, Physical Review A, 81, 062340.
    • (2010) Physical Review A , vol.81 , pp. 062340
    • Chandrashekar, C.M.1    Banerjee, S.2    Srikanth, R.3
  • 11
    • 2342589973 scopus 로고    scopus 로고
    • Quantum random walks in one dimension
    • N. Konno (2002), Quantum random walks in one dimension, Quantum Information Processing, 1, 345-354.
    • (2002) Quantum Information Processing , vol.1 , pp. 345-354
    • Konno, N.1
  • 12
    • 28844485932 scopus 로고    scopus 로고
    • A new type of limit theorems for the one-dimensional quantum random walk
    • N. Konno (2005), A new type of limit theorems for the one-dimensional quantum random walk, Journal of the Mathematical Society of Japan, 57, 1179-1195.
    • (2005) Journal of the Mathematical Society of Japan , vol.57 , pp. 1179-1195
    • Konno, N.1
  • 13
    • 45749116574 scopus 로고    scopus 로고
    • Limit distributions of two-dimensional quantum walks
    • K. Watabe, N. Kobayashi, M. Katori and N. Konno (2008), Limit distributions of two-dimensional quantum walks, Physical Review A, 77, 062331.
    • (2008) Physical Review A , vol.77 , pp. 062331
    • Watabe, K.1    Kobayashi, N.2    Katori, M.3    Konno, N.4
  • 14
    • 85065240898 scopus 로고    scopus 로고
    • Quantum Walks
    • Uwe, F., Scḧurmann, M. (Eds.), Springer-Verlag (Heidelberg)
    • N. Konno (2008), Quantum Walks, In: Uwe, F., Scḧurmann, M. (Eds.) Lecture Notes in Mathematics, 1954, 309-452, Springer-Verlag (Heidelberg)
    • (2008) Lecture Notes in Mathematics , vol.1954 , pp. 309-452
    • Konno, N.1
  • 15
    • 28844486739 scopus 로고    scopus 로고
    • One-dimensional three-state quantum walk
    • N. Inui, N. Konno and E. Segawa (2005), One-dimensional three-state quantum walk, Physical Review E, 72, 056112.
    • (2005) Physical Review E , vol.72 , pp. 056112
    • Inui, N.1    Konno, N.2    Segawa, E.3
  • 16
    • 18844392043 scopus 로고    scopus 로고
    • Localization of multi-state quantum walk in one dimension
    • N. Inui and N. Konno (2005), Localization of multi-state quantum walk in one dimension, Physica A, 353, 1330-144.
    • (2005) Physica A , vol.353 , pp. 144-1330
    • Inui, N.1    Konno, N.2
  • 17
    • 70450182588 scopus 로고    scopus 로고
    • Inhomogeneous quantum walks
    • N. Linden and J. Sharam (2009), Inhomogeneous quantum walks, Physical Review A, 80, 052327.
    • (2009) Physical Review A , vol.80 , pp. 052327
    • Linden, N.1    Sharam, J.2
  • 18
    • 77953620130 scopus 로고    scopus 로고
    • Localization of an inhomogeneous discrete-time quantum walk on the line
    • N. Konno (2010), Localization of an inhomogeneous discrete-time quantum walk on the line, Quantum Information Processing, 9, 405-418.
    • (2010) Quantum Information Processing , vol.9 , pp. 405-418
    • Konno, N.1
  • 20
    • 77957259459 scopus 로고    scopus 로고
    • Localization and fractality in inhomogeneous quantum walks with self-duality
    • Y. Shikano and H. Katsura (2010), Localization and fractality in inhomogeneous quantum walks with self-duality, Physical Review E, 82, 031122.
    • (2010) Physical Review E , vol.82 , pp. 031122
    • Shikano, Y.1    Katsura, H.2
  • 21
    • 18144439004 scopus 로고    scopus 로고
    • Localization of two-dimensional quantum walks
    • N. Inui, Y. Konishi and N. Konno (2004), Localization of two-dimensional quantum walks, Physical Review A, 69, 052323.
    • (2004) Physical Review A , vol.69 , pp. 052323
    • Inui, N.1    Konishi, Y.2    Konno, N.3
  • 22
    • 18044370666 scopus 로고    scopus 로고
    • Breakdown of an electric-field driven system: A mapping to a quantum walk
    • T. Oka, N. Konno, R. Arita and H. Aoki (2005), Breakdown of an electric-field driven system: a mapping to a quantum walk, Physical Review Letter, 94, 100602.
    • (2005) Physical Review Letter , vol.94 , pp. 100602
    • Oka, T.1    Konno, N.2    Arita, R.3    Aoki, H.4
  • 23
  • 25
    • 33947406738 scopus 로고
    • 4th ed. American Mathematical Socienty, Colloquim Publications
    • G. Szeg̈o (1975), Orthogonal Polynomials, 4th ed. American Mathematical Socienty, Colloquim Publications, 23.
    • (1975) Orthogonal Polynomials , pp. 23
    • Szeg̈o, G.1
  • 26
    • 84856507849 scopus 로고    scopus 로고
    • Classical Theory, American Mathematical Society Colloquim Publications
    • B. Simon (2005), Orthogonal Polynomials on the Unit Circle Part 1, Classical Theory, American Mathematical Society Colloquim Publications, 54.
    • (2005) Orthogonal Polynomials on the Unit Circle Part 1 , pp. 54
    • Simon, B.1
  • 28
    • 24344476659 scopus 로고    scopus 로고
    • Minimal representations of unitary operators and orthogonal polynimials on the unit circle
    • M. J. Cantero, L. Moral and L. Velázquez (2005), Minimal representations of unitary operators and orthogonal polynimials on the unit circle, Linear Algebra and its Applications, 405, 40-65.
    • (2005) Linear Algebra and Its Applications , vol.405 , pp. 40-65
    • Cantero, M.J.1    Moral, L.2    Velázquez, L.3
  • 29
    • 51149124317 scopus 로고    scopus 로고
    • Recurrence properties of unbiased coined quantum walks on infinite d-dimensional lattices
    • M. Stefanak, T. Kiss and I. Jex (2008), Recurrence properties of unbiased coined quantum walks on infinite d-dimensional lattices, Physical Review A, 78, 032306.
    • (2008) Physical Review A , vol.78 , pp. 032306
    • Stefanak, M.1    Kiss, T.2    Jex, I.3


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