메뉴 건너뛰기




Volumn 81, Issue 6, 2010, Pages

Relationship between quantum walks and relativistic quantum mechanics

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMIC TOOLS; ARROW OF TIME; CONTINUOUS-TIME QUANTUM WALKS; DECOHERENCE; DEGREE OF FREEDOM; DIRAC EQUATIONS; DISCRETE-TIME; KLEIN-GORDON; MATHEMATICAL STRUCTURE; MAXIMUM SPEED; PHYSICAL PROCESS; PROJECTIVE MEASUREMENT; QUANTUM COMPUTATION; QUANTUM WALK; RELATIVISTIC QUANTUM MECHANICS; ROBINSON; TWO-STATE SYSTEMS;

EID: 77954181427     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.062340     Document Type: Article
Times cited : (120)

References (52)
  • 3
    • 35949005639 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.48.1687
    • Y. Aharonov, L. Davidovich, and N. Zagury, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.1687 48, 1687 (1993).
    • (1993) Phys. Rev. A , vol.48 , pp. 1687
    • Aharonov, Y.1    Davidovich, L.2    Zagury, N.3
  • 4
    • 4243657256 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.58.915
    • E. Farhi and S. Gutmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.915 58, 915 (1998).
    • (1998) Phys. Rev. A , vol.58 , pp. 915
    • Farhi, E.1    Gutmann, S.2
  • 5
    • 0030516675 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/BF02199356
    • D. A. Meyer, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02199356 85, 551 (1996).
    • (1996) J. Stat. Phys. , vol.85 , pp. 551
    • Meyer, D.A.1
  • 7
    • 77954201589 scopus 로고    scopus 로고
    • A. Nayak and A. Vishwanath, e-print arXiv: quant-ph/0010117 (2000)
    • A. Nayak and A. Vishwanath, e-print arXiv: quant-ph/0010117 (2000).
  • 9
    • 5444262221 scopus 로고    scopus 로고
    • 0219-7499 10.1142/S0219749903000383
    • A. Ambainis, Int. J. Quant. Inform. 0219-7499 10.1142/S0219749903000383 1, 507 (2003).
    • (2003) Int. J. Quant. Inform. , vol.1 , pp. 507
    • Ambainis, A.1
  • 11
    • 0037768972 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.67.052307
    • N. Shenvi, J. Kempe, and K. Birgitta Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052307 67, 052307 (2003).
    • (2003) Phys. Rev. A , vol.67 , pp. 052307
    • Shenvi, N.1    Kempe, J.2    Birgitta Whaley, K.3
  • 12
    • 49549123132 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.78.022314
    • C. M. Chandrashekar and R. Laflamme, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.022314 78, 022314 (2008).
    • (2008) Phys. Rev. A , vol.78 , pp. 022314
    • Chandrashekar, C.M.1    Laflamme, R.2
  • 13
    • 18044370666 scopus 로고    scopus 로고
    • Breakdown of an electric-field driven system: A mapping to a quantum walk
    • DOI 10.1103/PhysRevLett.94.100602, 100602
    • T. Oka, N. Konno, R. Arita, and H. Aoki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.100602 94, 100602 (2005). (Pubitemid 40607151)
    • (2005) Physical Review Letters , vol.94 , Issue.10 , pp. 1-4
    • Oka, T.1    Konno, N.2    Arita, R.3    Aoki, H.4
  • 21
    • 3543017857 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.032310
    • B. C. Travaglione and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032310 65, 032310 (2002).
    • (2002) Phys. Rev. A , vol.65 , pp. 032310
    • Travaglione, B.C.1    Milburn, G.J.2
  • 28
    • 0000807895 scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.49.6920
    • I. Bialynicki-Birula, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.49. 6920 49, 6920 (1994).
    • (1994) Phys. Rev. D , vol.49 , pp. 6920
    • Bialynicki-Birula, I.1
  • 31
    • 33847212807 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.75.022322
    • A. J. Bracken, D. Ellinas, and I. Smyrnakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.022322 75, 022322 (2007).
    • (2007) Phys. Rev. A , vol.75 , pp. 022322
    • Bracken, A.J.1    Ellinas, D.2    Smyrnakis, I.3
  • 32
    • 34548378688 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.2759837
    • F. W. Strauch, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2759837 48, 082102 (2007).
    • (2007) J. Math. Phys. , vol.48 , pp. 082102
    • Strauch, F.W.1
  • 33
    • 51349118528 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2008.08.017
    • P. Kurzynski, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2008.08. 017 372, 6125 (2008).
    • (2008) Phys. Lett. A , vol.372 , pp. 6125
    • Kurzynski, P.1
  • 34
    • 74949089287 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.81.012314
    • F. Sato and M. Katori, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81. 012314 81, 012314 (2010).
    • (2010) Phys. Rev. A , vol.81 , pp. 012314
    • Sato, F.1    Katori, M.2
  • 35
    • 77954189741 scopus 로고    scopus 로고
    • Y. Shikano, K. Chisaki, E. Segawa, and N. Konno, e-print arXiv: 1001.3989 (2010)
    • Y. Shikano, K. Chisaki, E. Segawa, and N. Konno, e-print arXiv: 1001.3989 (2010).
  • 38
    • 68949085391 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.080401
    • L. Maccone, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 080401 103, 080401 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 080401
    • MacCone, L.1
  • 39
    • 70350662760 scopus 로고    scopus 로고
    • FNDPA4 0015-9018 10.1007/s10701-009-9316-7
    • C. Brukner and A. Zeilinger, Found. Phys. FNDPA4 0015-9018 10.1007/s10701-009-9316-7 39, 677 (2009).
    • (2009) Found. Phys. , vol.39 , pp. 677
    • Brukner, C.1    Zeilinger, A.2
  • 40
    • 0141871990 scopus 로고    scopus 로고
    • FNDPA4 0015-9018 10.1023/A:1026056716397
    • R. Clifton, J. Bub, and H. Halvorson, Found. Phys. FNDPA4 0015-9018 10.1023/A:1026056716397 33, 1561 (2003);
    • (2003) Found. Phys. , vol.33 , pp. 1561
    • Clifton, R.1    Bub, J.2    Halvorson, H.3
  • 41
    • 77954210070 scopus 로고    scopus 로고
    • see also e-print arXiv: quant-ph/0311065 (2003)
    • see also e-print arXiv: quant-ph/0311065 (2003).
  • 42
    • 0035934875 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.170405
    • C. Simon, V. Bužek, and N. Gisin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.170405 87, 170405 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 170405
    • Simon, C.1    Bužek, V.2    Gisin, N.3
  • 43
    • 77953211182 scopus 로고    scopus 로고
    • APCPCS 0094-243X 10.1063/1.2400889
    • R. Srikanth, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.2400889 864, 178 (2006).
    • (2006) AIP Conf. Proc. , vol.864 , pp. 178
    • Srikanth, R.1
  • 45
    • 0011320769 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01645779
    • E. H. Lieb and D. W. Robinson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01645779 28, 251 (1972).
    • (1972) Commun. Math. Phys. , vol.28 , pp. 251
    • Lieb, E.H.1    Robinson, D.W.2
  • 46
    • 2142660755 scopus 로고    scopus 로고
    • CMPHAY 1098-0121 10.1103/PhysRevB.69.104431
    • M. B. Hastings, Phys. Rev. B CMPHAY 1098-0121 10.1103/PhysRevB.69.104431 69, 104431 (2004);
    • (2004) Phys. Rev. B , vol.69 , pp. 104431
    • Hastings, M.B.1
  • 47
    • 19644400809 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.140402
    • M. B. Hastings, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 140402 93, 140402 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 140402
    • Hastings, M.B.1
  • 48
    • 33750006566 scopus 로고    scopus 로고
    • General entanglement scaling laws from time evolution
    • DOI 10.1103/PhysRevLett.97.150404
    • J. Eisert and T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150404 97, 150404 (2006). (Pubitemid 44570427)
    • (2006) Physical Review Letters , vol.97 , Issue.15 , pp. 150404
    • Eisert, J.1    Osborne, T.J.2
  • 49
    • 33746640926 scopus 로고    scopus 로고
    • Lieb-Robinson bounds and the generation of correlations and topological quantum order
    • DOI 10.1103/PhysRevLett.97.050401
    • S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050401 97, 050401 (2006). (Pubitemid 44156696)
    • (2006) Physical Review Letters , vol.97 , Issue.5 , pp. 050401
    • Bravyi, S.1    Hastings, M.B.2    Verstraete, F.3
  • 50
    • 33745315996 scopus 로고    scopus 로고
    • Spectral gap and exponential decay of correlations
    • DOI 10.1007/s00220-006-0030-4
    • M. B. Hastings and T. Koma, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-006-0030-4 265, 781 (2006). (Pubitemid 43937065)
    • (2006) Communications in Mathematical Physics , vol.265 , Issue.3 , pp. 781-804
    • Hastings, M.B.1    Koma, T.2
  • 51
    • 33646729744 scopus 로고    scopus 로고
    • Lieb-Robinson bounds and the exponential clustering theorem
    • DOI 10.1007/s00220-006-1556-1
    • B. Nachtergaele and R. Sims, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-006-1556-1 265, 119 (2006). (Pubitemid 43747216)
    • (2006) Communications in Mathematical Physics , vol.265 , Issue.1 , pp. 119-130
    • Nachtergaele, B.1    Sims, R.2
  • 52
    • 33748045156 scopus 로고    scopus 로고
    • Propagation of correlations in quantum lattice systems
    • DOI 10.1007/s10955-006-9143-6
    • B. Nachtergaele, Y. Ogata, and R. Sims, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9143-6 124, 1 (2006). (Pubitemid 44300290)
    • (2006) Journal of Statistical Physics , vol.124 , Issue.1 , pp. 1-13
    • Nachtergaele, B.1    Ogata, Y.2    Sims, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.