Results 71 to 80 of about 104,281 (223)
Coined Quantum Walks on Weighted Graphs
, 2017 We define a discrete-time, coined quantum walk on weighted graphs that is inspired by Szegedy's quantum walk. Using this, we prove that many lackadaisical quantum walks, where each vertex has $l$ integer self-loops, can be generalized to a quantum walk ...
Wong, Thomas G.
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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 ...
Aharonov, Dorit +3 more
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Quantum Walks on Hypergraphs [PDF]
International Journal of Theoretical Physics, 2019 Comment: 14 pages, 2 ...
Przemysław Sadowski +3 more
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Optimizing the discrete time quantum walk using a SU(2) coin
, 2008 We present a generalized version of the discrete time quantum walk, using the SU(2) operation as the quantum coin. By varying the coin parameters, the quantum walk can be optimized for maximum variance subject to the functional form $\sigma^2 \approx N^2$
A. M. Childs +6 more
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Quantum walks via quantum cellular automata [PDF]
Quantum Information Processing, 2018 Very much as its classical counterpart, quantum cellular automata are expected to be a great tool for simulating complex quantum systems. Here we introduce a partitioned model of quantum cellular automata and show how it can simulate, with the same amount of resources (in terms of effective Hilbert space dimension), various models of quantum walks. All
Costa, Pedro C. S. +2 more
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Recurrence in discrete-time quantum stochastic walks [PDF]
QuantumInterplay between quantum interference and classical randomness can enhance performance of various quantum information tasks. In the present paper we analyze recurrence phenomena in the discrete-time quantum stochastic walk on a line, which is a quantum ...
Martin Štefaňák +4 more
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Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk
Condensed Matter, 2020 We analytically investigate the analogy between a standard continuous-time quantum walk in one dimension and the evolution of the quantum kicked rotor at quantum resonance conditions.
Michele Delvecchio +2 more
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Quantum walks in higher dimensions
, 2002 We analyze the quantum walk in higher spatial dimensions and compare classical and quantum spreading as a function of time. Tensor products of Hadamard transformations and the discrete Fourier transform arise as natural extensions of the quantum coin ...
Aharonov D +9 more
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Quantum walks in polycyclic aromatic hydrocarbons
New Journal of Physics, 2021 Aromaticity is a well-known phenomenon in both physics and chemistry, and is responsible for many unique chemical and physical properties of aromatic molecules.
Prateek Chawla, C. M. Chandrashekar
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Pseudo Memory Effects, Majorization and Entropy in Quantum Random Walks
, 2004 A quantum random walk on the integers exhibits pseudo memory effects, in that its probability distribution after N steps is determined by reshuffling the first N distributions that arise in a classical random walk with the same initial distribution. In a
Bracken, Anthony J. +2 more
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