Absorption problems for quantum walks in one dimension

Journal of Physics A: Mathematical and General

Volumn 36, Issue 1, 2003, Pages 241-253

  Konno, Norio ^a   Namiki, Takao ^b   Soshi, Takahiro ^a   Sudbury, Aidan ^c  

^a YOKOHAMA NATIONAL UNIVERSITY   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

^c MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037428418     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/1/316     Document Type: Article

References (18)

1. Aharonov D, Ambainis A, Kempe J and Vazirani U V 2001 Quantum walks on graphs Proc. 33rd Annual ACM Symp. on Theory of Computing pp 50-9
2. Ambainis A, Bach E, Nayak A, Vishwanath A and Watrous J 2001 One-dimensional quantum walks Proc. 33rd Annual ACM Symp. on Theory of Computing pp 37-49
3. Bach E, Coppersmith S, Goldschen M P, Joynt R and Watrous J 2002 One-dimensional quantum walks with absorbing boundaries Preprint quant-ph/0207008
4. Brylinsky R K and Chen G 2002 Mathematics of Quantum Information (London/Boca Raton, FL: Chapman and Hall/CRC Press)
5. Childs A M, Farhi E and Gutmann S 2002 An example of the difference between quantum and classical random walks Quantum Inf. Process. 1 35-43
6. Durrett R 1999 Essentials of Stochastic Processes (New York: Springer)
7. Dur W, Raussendorf R, Kendon V M and Briegel H-J 2002 Quantum random walks in optical lattices Preprint quant-ph/0207137
8. Grimmett G R and Stirzaker D R 1992 Probability and Random Processes 2nd edn (New York: Oxford University Press)
9. Kempe J 2002 Quantum random walks hit exponentially faster Preprint quant-ph/0205083
10. Konno N 2002a Quantum random walks in one dimension Preprint quant-ph/0206053
11. Konno N 2002b A new type of limit theorems for the one-dimensional quantum random walk Preprint quant-ph/0206103
12. Konno N, Namiki T and Soshi T 2002 Symmetry of distribution for the one-dimensional Hadamard walk Preprint quant-ph/0205065
13. Mackay T D, Bartlett S D, Stephanson L T and Sanders B C 2002 Quantum walks in higher dimensions J. Phys. A: Math. Gen. 35 2745-53
14. Meyer D 1996 From quantum cellular automata to quantum lattice gases J. Stat. Phys. 85 551-74
15. Moore C and Russell A 2001 Quantum walks on the hypercubes Preprint quant-ph/0104137
16. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
17. Travaglione B C and Milburn G J 2002 Implementing the quantum random walk Phys. Rev. A 65 032310
18. Yamasaki T, Kobayashi H and Imai H 2002 Analysis of absorbing times of quantum walks Preprint quant-ph/0205045