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Volumn 5, Issue 6, 2007, Pages 781-793

Non-uniform mixing of Quantum walk on cycles

Author keywords

Circulant; Continuous time; Mixing; Quantum walk

Indexed keywords

CONTINUOUS TIME SYSTEMS; MIXING;

EID: 38049002002     PISSN: 02197499     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219749907003195     Document Type: Article
Times cited : (30)

References (17)
  • 1
    • 33845540663 scopus 로고    scopus 로고
    • Quantum walks on general graphs
    • V. Kendon, Quantum walks on general graphs, Int. J. Quant. Inform. 4(5) (2006) 791-805.
    • (2006) Int. J. Quant. Inform , vol.4 , Issue.5 , pp. 791-805
    • Kendon, V.1
  • 4
    • 4243657256 scopus 로고    scopus 로고
    • Quantum computation and decision trees
    • E. Farhi and S. Gutmann, Quantum computation and decision trees, Phys. Rev. A 58 (1998) 915-928.
    • (1998) Phys. Rev. A , vol.58 , pp. 915-928
    • Farhi, E.1    Gutmann, S.2
  • 6
    • 84959058975 scopus 로고    scopus 로고
    • Quantum walks on the hypercube
    • Proc. 6th Int. Workshop on Randomization and Approximation in Computer Science, J. D. P. Rolim and S. P. Vadhan eds, Springer-Verlag, Germany
    • C. Moore and A. Russell, Quantum walks on the hypercube, in Proc. 6th Int. Workshop on Randomization and Approximation in Computer Science, J. D. P. Rolim and S. P. Vadhan (eds.), Lecture Notes in Computer Science, Vol. 2483 (Springer-Verlag, Germany, 2002), pp. 164-178.
    • (2002) Lecture Notes in Computer Science , vol.2483 , pp. 164-178
    • Moore, C.1    Russell, A.2
  • 7
    • 0344120640 scopus 로고    scopus 로고
    • On mixing of continuous-time quantum walks on some circulant graphs
    • A. Ahmadi, R. Belk, C. Tamon and C. Wendler, On mixing of continuous-time quantum walks on some circulant graphs, Quant. Inform. Comput. 3 (2003) 611-618.
    • (2003) Quant. Inform. Comput , vol.3 , pp. 611-618
    • Ahmadi, A.1    Belk, R.2    Tamon, C.3    Wendler, C.4
  • 8
    • 35248879710 scopus 로고    scopus 로고
    • Continuous-time quantum walks on the symmetric group
    • Proc. 7th Int. Workshop Randomization and Approximation in Computer Science, S. Arora, K. Jansen, J. D. P. Rolim and A. Sahai eds, Springer-Verlag, Germany
    • H. Gerhardt and J. Watrous, Continuous-time quantum walks on the symmetric group, in Proc. 7th Int. Workshop Randomization and Approximation in Computer Science, S. Arora, K. Jansen, J. D. P. Rolim and A. Sahai (eds.), Lecture Notes in Computer Science, Vol. 2764 (Springer-Verlag, Germany, 2003), pp. 290-301.
    • (2003) Lecture Notes in Computer Science , vol.2764 , pp. 290-301
    • Gerhardt, H.1    Watrous, J.2
  • 11
    • 24044470983 scopus 로고    scopus 로고
    • D. b.-Avraham, E. Bollt and C. Tamon, One-dimensional continuous-time quantum walks, Quant. Inform. Process. 3 (2004) 295-308.
    • D. b.-Avraham, E. Bollt and C. Tamon, One-dimensional continuous-time quantum walks, Quant. Inform. Process. 3 (2004) 295-308.
  • 12
    • 38049001963 scopus 로고    scopus 로고
    • P. Diaconis, Patterned matrices, in Matrix Theory and Applications Proceedings of Symposia in Applied Mathematics, 40 (American Mathematical Society, U.S.A., 1990), pp. 37-58.
    • P. Diaconis, Patterned matrices, in Matrix Theory and Applications Proceedings of Symposia in Applied Mathematics, Vol. 40 (American Mathematical Society, U.S.A., 1990), pp. 37-58.
  • 15
    • 34249872178 scopus 로고    scopus 로고
    • Parameters of integral circulant graphs and periodic quantum dynamics
    • N. Saxena, S. Severini and I. Shparlinski, Parameters of integral circulant graphs and periodic quantum dynamics, Int. J. Quant. Inform. 5 (2007) 417-430.
    • (2007) Int. J. Quant. Inform , vol.5 , pp. 417-430
    • Saxena, N.1    Severini, S.2    Shparlinski, I.3
  • 16
    • 0004242420 scopus 로고
    • 2nd edn, Cambridge University Press, U.S.A
    • N. Biggs, Algebraic Graph Theory, 2nd edn. (Cambridge University Press, U.S.A., 1993).
    • (1993) Algebraic Graph Theory
    • Biggs, N.1
  • 17
    • 0004283806 scopus 로고
    • The Mathematical Association of America, U.S.A
    • I. Niven, Irrational Numbers (The Mathematical Association of America, U.S.A., 1985).
    • (1985) Irrational Numbers
    • Niven, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.