AXIOM: the scientific computation system
AXIOM: the scientific computation system
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Decoherence in quantum walks – a review
Mathematical Structures in Computer Science
Quantum Walks for Computer Scientists
Quantum Walks for Computer Scientists
Localization of an inhomogeneous discrete-time quantum walk on the line
Quantum Information Processing
Limit theorems for quantum walks with memory
Quantum Information & Computation
Asymptotic distributions of quantum walks on the line with two entangled coins
Quantum Information Processing
Quantum walks: a comprehensive review
Quantum Information Processing
Realization of the probability laws in the quantum central limit theorems by a quantum walk
Quantum Information & Computation
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We investigate the quantum versions of a one-dimensional random walk, whose correspondingMarkov Chain is of order 2. This corresponds to the walk having a memoryof one previous step. We derive the amplitudes and probabilities for these walks, andpoint out how they differ from both classical random walks, and quantum walks withoutmemory.