-
2
-
-
0043092395
-
-
10.1080/00107151031000110776.
-
Kempe J. Contemp. Phys. 2003, 44:307. 10.1080/00107151031000110776.
-
(2003)
Contemp. Phys.
, vol.44
, pp. 307
-
-
Kempe, J.1
-
3
-
-
0034832939
-
One-dimensional quantum walks
-
Hersonissos, Crete, Greece (ACM, New York, NY)
-
Ambainis A. Bach E. Nayak A. Vishwanath A. Watrous J. One-dimensional quantum walks. Proceedings of the ACM Symposium on Theory of Computing 2001, 37-49. In Hersonissos, Crete, Greece (ACM, New York, NY)
-
(2001)
Proceedings of the ACM Symposium on Theory of Computing
, pp. 37-49
-
-
Ambainis, A.1
Bach, E.2
Nayak, A.3
Vishwanath, A.4
Watrous, J.5
-
6
-
-
5444262221
-
-
10.1142/S0219749903000383
-
Ambainis A. Int. J. Quantum Inf. 2003, 1:507. 10.1142/S0219749903000383,.
-
(2003)
Int. J. Quantum Inf.
, vol.1
, pp. 507
-
-
Ambainis, A.1
-
7
-
-
24644478594
-
-
10.1007/s00440-004-0423-2.
-
Kempe J. Probab. Theory Relat. Fields 2005, 133(2):215. 10.1007/s00440-004-0423-2.
-
(2005)
Probab. Theory Relat. Fields
, vol.133
, Issue.2
, pp. 215
-
-
Kempe, J.1
-
11
-
-
69549140246
-
Quantum walk based search algorithms
-
in (Springer-Verlag, Berlin, Heidelberg)
-
Miklos S. Quantum walk based search algorithms. Proceedings of the Fifth International Conference on Theory and Applications of Models of Computation, Xi'an, China, 2008 2008, 31-46. in (Springer-Verlag, Berlin, Heidelberg)
-
(2008)
Proceedings of the Fifth International Conference on Theory and Applications of Models of Computation, Xi'an, China, 2008
, pp. 31-46
-
-
Miklos, S.1
-
12
-
-
67650456294
-
-
10.1126/science.1174436
-
Karski M. Forster L. Choi J.-M. Steffen A. Alt W. Meschede D. Widera A. Science 2009, 325:174. 10.1126/science.1174436, and.
-
(2009)
Science
, vol.325
, pp. 174
-
-
Karski, M.1
Forster, L.2
Choi, J.-M.3
Steffen, A.4
Alt, W.5
Meschede, D.6
Widera, A.7
-
13
-
-
69449093298
-
-
10.1103/PhysRevLett.103.090504
-
Schmitz H. Matjeschk R. Schneider C. Glueckert J. Enderlein M. Huber T. Schaetz T. Phys. Rev. Lett. 2009, 103(9):090504. 10.1103/PhysRevLett.103.090504.
-
(2009)
Phys. Rev. Lett.
, vol.103
, Issue.9
, pp. 090504
-
-
Schmitz, H.1
Matjeschk, R.2
Schneider, C.3
Glueckert, J.4
Enderlein, M.5
Huber, T.6
Schaetz, T.7
-
14
-
-
24244444170
-
-
10.1103/PhysRev.109.1492.
-
Anderson P.W. Phys. Rev. 1958, 109(5):1492. 10.1103/PhysRev.109.1492.
-
(1958)
Phys. Rev.
, vol.109
, Issue.5
, pp. 1492
-
-
Anderson, P.W.1
-
17
-
-
77956557046
-
-
10.1103/PhysRevA.82.033602.
-
Witthaut D. Phys. Rev. A 2010, 82:033602. 10.1103/PhysRevA.82.033602.
-
(2010)
Phys. Rev. A
, vol.82
, pp. 033602
-
-
Witthaut, D.1
-
19
-
-
77956172559
-
-
10.1007/s10955-010-0047-0
-
Joye A. Merkli M. J. Stat. Phys. 2010, 140(6):1. 10.1007/s10955-010-0047-0, and.
-
(2010)
J. Stat. Phys.
, vol.140
, Issue.6
, pp. 1
-
-
Joye, A.1
Merkli, M.2
-
20
-
-
77954024296
-
-
10.1007/s11040-009-9068-9
-
Hamza E. Joye A. Stolz G. Math. Phys., Anal. Geom. 2009, 12(4):381. 10.1007/s11040-009-9068-9, and.
-
(2009)
Math. Phys., Anal. Geom.
, vol.12
, Issue.4
, pp. 381
-
-
Hamza, E.1
Joye, A.2
Stolz, G.3
-
21
-
-
70450182588
-
-
10.1103/PhysRevA.80.052327
-
Linden N. Sharam J. Phys. Rev. A 2009, 80(5):052327. 10.1103/PhysRevA.80.052327, and.
-
(2009)
Phys. Rev. A
, vol.80
, Issue.5
, pp. 052327
-
-
Linden, N.1
Sharam, J.2
-
22
-
-
77953620130
-
-
10.1007/s11128-009-0147-4.
-
Konno N. Quantum Inf. Process. 2010, 9(3):405. 10.1007/s11128-009-0147-4.
-
(2010)
Quantum Inf. Process.
, vol.9
, Issue.3
, pp. 405
-
-
Konno, N.1
-
23
-
-
70349221261
-
-
10.1007/s11128-009-0116-y.
-
Konno N. Quantum Inf. Process. 2009, 8(5):387. 10.1007/s11128-009-0116-y.
-
(2009)
Quantum Inf. Process.
, vol.8
, Issue.5
, pp. 387
-
-
Konno, N.1
-
24
-
-
77957259459
-
-
10.1103/PhysRevE.82.031122
-
Shikano Y. Katsura H. Phys. Rev. E 2010, 82(3):031122. 10.1103/PhysRevE.82.031122, and.
-
(2010)
Phys. Rev. E
, vol.82
, Issue.3
, pp. 031122
-
-
Shikano, Y.1
Katsura, H.2
-
26
-
-
2442500520
-
-
10.1007/s00023-004-0172-x.
-
Joye A. Ann. Henri Poincare 2004, 5:347. 10.1007/s00023-004-0172-x.
-
(2004)
Ann. Henri Poincare
, vol.5
, pp. 347
-
-
Joye, A.1
-
27
-
-
1442351070
-
-
Mathematical Surveys and Monographs (American Mathematical Society, Providence).
-
Cima J.A. Matheson A.L. Ross W.T. The Cauchy Transform 2006, 125. and Mathematical Surveys and Monographs (American Mathematical Society, Providence).
-
(2006)
The Cauchy Transform
, vol.125
-
-
Cima, J.A.1
Matheson, A.L.2
Ross, W.T.3
-
28
-
-
84968508586
-
-
10.1090/S0002-9947-1963-0163345-0.
-
Fürstenberg H. Trans. Am. Math. Soc. 1963, 108:377. 10.1090/S0002-9947-1963-0163345-0.
-
(1963)
Trans. Am. Math. Soc.
, vol.108
, pp. 377
-
-
Fürstenberg, H.1
-
44
-
-
80055102739
-
-
e-print: arXiv:1103.5545 (unpublished).
-
Obuse H. Kawakami N. and e-print: arXiv:1103.5545 (unpublished).
-
-
-
Obuse, H.1
Kawakami, N.2
-
45
-
-
80055121445
-
-
Note that we are dealing here with unitary operators on finite dimensional Hilbert spaces and, hence, the absolutely continuous part of every spectral measure is identically zero.
-
Note that we are dealing here with unitary operators on finite dimensional Hilbert spaces and, hence, the absolutely continuous part of every spectral measure is identically zero.
-
-
-
-
46
-
-
21344465808
-
-
10.1090/S0002-9939-96-03363-1.
-
Poltoratski A.G. Proc. Am. Math. Soc. 1996, 124:2455. 10.1090/S0002-9939-96-03363-1.
-
(1996)
Proc. Am. Math. Soc.
, vol.124
, pp. 2455
-
-
Poltoratski, A.G.1
-
47
-
-
80055117526
-
-
2x + 1.
-
2x + 1.
-
-
-
-
48
-
-
33847199098
-
-
Mathematical Surveys and Monographs (American Mathematical Society, Providence).
-
Simon B. Trace Ideals and Their Applications 2005, 120. Mathematical Surveys and Monographs (American Mathematical Society, Providence).
-
(2005)
Trace Ideals and Their Applications
, vol.120
-
-
Simon, B.1
-
49
-
-
84972546484
-
-
10.1215/S0012-7094-83-05025-1
-
Craig W. Simon B. Duke Math. J. 1983, 50:551. 10.1215/S0012-7094-83-05025-1, and.
-
(1983)
Duke Math. J.
, vol.50
, pp. 551
-
-
Craig, W.1
Simon, B.2
-
51
-
-
80055105684
-
-
Note that we can assume that each of these points fulfills |a| > 0, see Sec.
-
Note that we can assume that each of these points fulfills |a| > 0, see Sec.
-
-
-
|