Quantum walks

N Konno - Lecture notes in mathematics, 2008 - Springer
Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

Unitarity plus causality implies localizability

P Arrighi, V Nesme, R Werner - Journal of Computer and System Sciences, 2011 - Elsevier
We consider a graph with a single quantum system at each node. The entire compound
system evolves in discrete time steps by iterating a global evolution U. We require that this …

Casimir energies of cylinders: Universal function

EK Abalo, KA Milton, L Kaplan - … Review D—Particles, Fields, Gravitation, and …, 2010 - APS
New exact results are given for the interior Casimir energies of infinitely long waveguides of
triangular cross section (equilateral, hemiequilateral, and isosceles right triangles). Results …

Quantum walks and quantum cellular automata

N Konno - Cellular Automata: 8th International Conference on …, 2008 - Springer
The quantum walk is a generalization of classical random walks. Considerable work has
been recently investigated on quantum walks in connection with quantum computing. The …

[PDF][PDF] Quantum cellular automata

P Arrighi - These d'habilitationa diriger les recherches, University …, 2009 - lri.fr
Quantum cellular automata (QCA) consist of an array of identical, finite dimensional,
quantum systems. These evolve in discrete time steps according to a causal, shift-invariant …

Quantum walks

P Biane, L Bouten, F Cipriani, N Konno… - Quantum Potential …, 2008 - Springer
Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

[引用][C] 時間依存型1 次元離散時間量子ウォークの極限定理

町田拓也 - 2010