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Sedentariness in quantum walks
22 pages, 3 ...
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Quantum Walk Computing: Theory, Implementation, and Application
The 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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Quantum Ratchet in Disordered Quantum Walk [PDF]
Symmetrically evolving discrete quantum walk results in dynamic localization with zero mean displacement when the standard evolution operations are replaced by a temporal disorder evolution operation. In this work we show that the quantum ratchet action, that is, a directed transport in standard or disordered discrete‐time quantum walk can be realized ...
Sagnik Chakraborty +3 more
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Dirac Spatial Search with Electric Fields
Electric Dirac quantum walks, which are a discretisation of the Dirac equation for a spinor coupled to an electric field, are revisited in order to perform spatial searches.
Julien Zylberman, Fabrice Debbasch
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Quantum Walks on the Hypercube
Recently, it has been shown that one-dimensional quantum walks can mix more quickly than classical random walks, suggesting that quantum Monte Carlo algorithms can outperform their classical counterparts. We study two quantum walks on the n-dimensional hypercube, one in discrete time and one in continuous time.
Cristopher Moore, Alexander Russell
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Quantum lattice Boltzmann is a quantum walk [PDF]
18 pages, 3 ...
Succi, Sauro +2 more
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Four-Qubit Cluster States Generation through Multi-Coin Quantum Walk
Quantum computing requires large numbers of resources of entangled qubits, which cannot be satisfied using traditional methods of entanglement generation, such as optical systems. Therefore, we need more efficient ways of entanglement generation.
Tianyi Wang +2 more
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GraphDay '16, 1(1), pages 1-16, Austin Texas, January ...
Marko A. Rodriguez, Jennifer H. Watkins
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Quantum Walks: A Markovian Perspective [PDF]
For a continuous-time quantum walk on a line the variance of the position observable grows quadratically in time, whereas, for its classical counterpart on the same graph, it exhibits a linear, diffusive, behaviour. A quantum walk, thus, propagates at a rate which is linear in time, as compared to the square root rate for a classical random walk ...
D. de Falco, D. Tamascelli
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