Problems, Physical Review Letters, vol.81, issue.18, pp.3992-3995, 1998. ,
DOI : 10.1103/PhysRevLett.81.3992
Quantum walks on cayley graphs, J. Phys. A : Math. Gen, vol.39, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00095800
Quantum walks on graphs, Proceedings of the thirty-third annual ACM symposium on Theory of computing , STOC '01, 2001. ,
DOI : 10.1145/380752.380758
Adiabatic quantum computation is equivalent to standard quantum computation ,
Quantum walk algorithm for element distinctness, Proc. FOCS, 2004. ,
Onedimensional quantum walks, Proc. Conf. Ann. Symp. Theo. Comp, pp.37-49, 2001. ,
Simulation of many qubit quantum computation with matrix product states ,
Quantum Complexity Theory, SIAM Journal on Computing, vol.26, issue.5, pp.1411-1473, 1997. ,
DOI : 10.1137/S0097539796300921
Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata, Physical Review D, vol.49, issue.12, p.6920, 1994. ,
DOI : 10.1103/PhysRevD.49.6920
Quantum amplitude amplification and estimation. LANL preprint ,
DOI : 10.1090/conm/305/05215
URL : http://arxiv.org/abs/quant-ph/0005055
Quantum walks driven by many coins, Physical Review A, vol.67, issue.5, p.52317, 2003. ,
DOI : 10.1103/PhysRevA.67.052317
URL : http://arxiv.org/abs/quant-ph/0210161
Entanglement in coined quantum walks on regular graphs, New Journal of Physics, vol.7, p.156, 2005. ,
DOI : 10.1088/1367-2630/7/1/156
The general correlated random walk, Journal of Applied Probability, vol.4, issue.04, pp.869-884, 1994. ,
DOI : 10.2307/3212943
The gillis-domb-fisher correlated random walk, J. Appl. Prob, vol.29, pp.792-813, 1992. ,
Quantum Theory, the Church-Turing Principle and the Universal Quantum Computer, Proc. R. Soc Lond. A, p.97, 1985. ,
DOI : 10.1098/rspa.1985.0070
A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem. LANL preprint ,
Weak limits for quantum random walks, Physical Review E, vol.69, issue.2, p.261119, 2004. ,
DOI : 10.1103/PhysRevE.69.026119
One-dimensional three-state quantum walk. LANL preprint ,
DOI : 10.1103/physreve.72.056112
URL : http://arxiv.org/abs/quant-ph/0507207
A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries, Proceedings of the thirty-third annual ACM symposium on Theory of computing , STOC '01, 2001. ,
DOI : 10.1145/380752.380877
Discrete quantum walk hit exponentially faster, Random-Approx 2003 series Lecture notes in Computer Science, pp.354-369, 2003. ,
DOI : 10.1007/978-3-540-45198-3_30
Quantum random walks -an introductory overview, Cont. Phys, vol.44, issue.4, pp.302-307, 2003. ,
DOI : 10.1080/00107510902734722
URL : http://arxiv.org/abs/quant-ph/0303081
Propagating quantum walks : the origin of interference structures. LANL preprint. quant-ph, 312133. ,
A course in number theory and cryptography, 1994. ,
A new type of limit theorems for the one-dimensional quantum random walk. LANL preprint. quant-ph, 206103. ,
On the absence of homogeneous scalar unitary cellular automata, Physics Letters A, vol.223, issue.5, pp.5-5261, 1996. ,
DOI : 10.1016/S0375-9601(96)00745-1
Quantum mechanics of lattice gas automata: One-particle plane waves and potentials, Physical Review E, vol.55, issue.5, p.5261, 1997. ,
DOI : 10.1103/PhysRevE.55.5261
Geometric phase based quantum computation applied to an np-complete problem. LANL preprint ,
A random matrix model of adiabatic quantum computing. LANL preprint ,
Quantum Walks on the Hypercube, Proc. Random, 2001. ,
DOI : 10.1007/3-540-45726-7_14
Quantum walk on the line (extended abstract). LANL preprint. quant-ph, 10117. ,
Quantum computation and quantum information, 2004. ,
Computational complexity, 1994. ,
Aperiodic Quantum Random Walks, Physical Review Letters, vol.93, issue.19, p.190503, 2004. ,
DOI : 10.1103/PhysRevLett.93.190503
URL : https://hal.archives-ouvertes.fr/hal-00122977
Quantum random-walk search algorithm, Physical Review A, vol.67, issue.5, p.52307, 2003. ,
DOI : 10.1103/PhysRevA.67.052307
URL : http://arxiv.org/abs/quant-ph/0210064
Polynomial-time algorithm for prime factorization and discrete logarithms on a quantum computer, SIAM J. Comp, pp.1484-1509, 1997. ,
Progress in quantum algorithms Quantum Information Processing, 2004. ,
On computable numbers with an application to the entscheidungsproblem, Proc. Lond. Math. Soc.2, p.442, 1936. ,
Graphs of groups on surfaces, 2001. ,
Quantum circuit complexity, Proc. of the 34th Ann. IEEE Symp. on Foundations of Computer Scicence, pp.352-361, 1993. ,