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Quantum Walk Computing: Theory, Implementation, and Application
Intelligent ComputingThe classical random walk formalism plays an important role in a wide range of applications. Its quantum counterpart, the quantum walk, is proposed as an important theoretical model for quantum computing.
Xiaogang Qiang, Shixin Ma, Haijing Song
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Generalized exceptional quantum walk search
New Journal of Physics, 2020 We mainly study exceptional configuration for coined quantum walk search. For searching on a two-dimensional grid by AKR algorithm, we find some new classes of exceptional configurations that cannot be found by the AKR algorithm effectively and the known
Meng Li, Yun Shang
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Relationship Between Quantum Walk and Relativistic Quantum Mechanics
, 2010 Quantum walk models have been used as an algorithmic tool for quantum computation and to describe various physical processes. This paper revisits the relationship between relativistic quantum mechanics and the quantum walks.
Banerjee, Subhashish +2 more
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Universal computation by multi-particle quantum walk [PDF]
, 2012 A quantum walk is a time-homogeneous quantum-mechanical process on a graph defined by analogy to classical random walk. The quantum walker is a particle that moves from a given vertex to adjacent vertices in quantum superposition.
A. M. Childs +12 more
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Correlated Markov Quantum Walks [PDF]
Annales Henri Poincaré, 2012 We consider the discrete time unitary dynamics given by a quantum walk on $\Z^d$ performed by a particle with internal degree of freedom, called coin state, according to the following iterated rule: a unitary update of the coin state takes place, followed by a shift on the lattice, conditioned on the coin state of the particle.
Hamza, Eman, Joye, Alain
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Quantum walks on two kinds of two-dimensional models
, 2015 In this paper, we numerically study quantum walks on two kinds of two-dimensional graphs: cylindrical strip and Mobius strip. The two kinds of graphs are typical two-dimensional topological graph.
Gettrick, Michael Mc +3 more
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Advances in Mathematical Physics, 2018 As a unitary quantum walk with infinitely many internal degrees of freedom, the quantum walk in terms of quantum Bernoulli noise (recently introduced by Wang and Ye) shows a rather classical asymptotic behavior, which is quite different from the case of ...
Caishi Wang +3 more
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Directivity of Quantum Walk via Its Random Walk Replica
Complexity, 2022 Quantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating ...
Tomoki Yamagami +5 more
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Exact simulation of coined quantum walks with the continuous-time model
, 2016 The connection between coined and continuous-time quantum walk models has been addressed in a number of papers. In most of those studies, the continuous-time model is derived from coined quantum walks by employing dimensional reduction and taking ...
Philipp, Pascal, Portugal, Renato
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