Results 21 to 30 of about 1,909 (256)
Hash Function Based on Controlled Alternate Quantum Walks With Memory (September 2021)
IEEE Transactions on Quantum Engineering, 2022 We propose a Quantum inspired Hash Function using controlled alternate quantum walks with Memory on cycles (QHFM), where the $j$th message bit decides whether to run quantum walk with one-step memory or to run quantum walk with two-step memory at the $j ...
Qing Zhou, Songfeng Lu
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Journal of Physics A: Mathematical and Theoretical, 2010 We introduce the quantum Levy walk to study transport and decoherence in a quantum random model. We have derived from second order perturbation theory the quantum master equation for a \textit{Levy-like particle}that moves along a lattice through hopping scale-free while interacting with a thermal bath of oscillators.
Caceres Garcia Faure, Manuel Osvaldo +1 more
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Inhomogeneous quantum walks [PDF]
Physical Review A, 2009 11 ...
Linden, Noah, Sharam, James
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Return Probability of Quantum and Correlated Random Walks
Entropy, 2022 The analysis of the return probability is one of the most essential and fundamental topics in the study of classical random walks. In this paper, we study the return probability of quantum and correlated random walks in the one-dimensional integer ...
Chusei Kiumi, Norio Konno, Shunya Tamura
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Quantum Walks on Hypergraphs [PDF]
International Journal of Theoretical Physics, 2019 14 pages, 2 ...
Przemysław Sadowski +3 more
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Proceedings of the thirty-third annual ACM symposium on Theory of computing, 2001 We set the ground for a theory of quantum walks on graphs- the generalization of random walks on finite graphs to the quantum world. Such quantum walks do not converge to any stationary distribution, as they are unitary and reversible. However, by suitably relaxing the definition, we can obtain a measure of how fast the quantum walk spreads or how ...
Dorit Aharonov +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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Localization of Discrete Time Quantum Walks on the Glued Trees
Entropy, 2014 In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyze the walks on the glued trees, we consider a reduction to the walks on path graphs.
Yusuke Ide +3 more
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Journal of Physics A: Mathematical and Theoretical, 2017 By adding an extra Hilbert space to Hadamard Quantum Walk on Cycles (QWC), we presented a new type of QWCs called Möbius Quantum Walk (MQW). The new space configuration enables the particle to rotate around the axis of movement. We defined factor $α$ as the Möbius factor which is number of rotations per cycle.
Majid Moradi, Mostafa Annabestani
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