Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Raghunathan, K. S."'
Autor:
Patel, Apoorva, Raghunathan, K. S.
Publikováno v:
Physical Review A 86 (2012) 012332
The spatial search problem on regular lattice structures in integer number of dimensions $d\geq2$ has been studied extensively, using both coined and coinless quantum walks. The relativistic Dirac operator has been a crucial ingredient in these studi
Externí odkaz:
http://arxiv.org/abs/1203.3950
Publikováno v:
Phys. Rev.A82:032331, 2010
We investigate the spatial search problem on the two-dimensional square lattice, using the Dirac evolution operator discretised according to the staggered lattice fermion formalism. $d=2$ is the critical dimension for the spatial search problem, wher
Externí odkaz:
http://arxiv.org/abs/1003.5564
We construct a quantum random walk algorithm, based on the Dirac operator instead of the Laplacian. The algorithm explores multiple evolutionary branches by superposition of states, and does not require the coin toss instruction of classical randomis
Externí odkaz:
http://arxiv.org/abs/quant-ph/0506221
Publikováno v:
Phys. Rev. A71 (2005) 032347
Classical randomized algorithms use a coin toss instruction to explore different evolutionary branches of a problem. Quantum algorithms, on the other hand, can explore multiple evolutionary branches by mere superposition of states. Discrete quantum r
Externí odkaz:
http://arxiv.org/abs/quant-ph/0405128
Publikováno v:
Proceedings of the Symposium: Communications Architectures & Protocols; 10/8/1983, p129-135, 7p
