Results 31 to 40 of about 5,812 (253)
Quantum walk on a chimera graph
New Journal of Physics, 2018 We analyse a continuous-time quantum walk on a chimera graph, which is a graph of choice for designing quantum annealers, and we discover beautiful quantum walk features such as localization that starkly distinguishes classical from quantum behaviour ...
Shu Xu +5 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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A Novel Algorithm of Quantum Random Walk in Server Traffic Control and Task Scheduling
Journal of Applied Mathematics, 2014 A quantum random walk optimization model and algorithm in network cluster server traffic control and task scheduling is proposed. In order to solve the problem of server load balancing, we research and discuss the distribution theory of energy field in ...
Dong Yumin, Xiao Shufen
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Physical Review Letters, 2014 In this letter we introduce the concept of a driven quantum walk. This work is motivated by recent theoretical and experimental progress that combines quantum walks and parametric down- conversion, leading to fundamentally different phenomena. We compare these striking differences by relating the driven quantum walks to the original quantum walk. Next,
Hamilton, Craig S. +4 more
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A Crossover Between Open Quantum Random Walks to Quantum Walks
Journal of Statistical Physics, 2023 We propose an intermediate walk continuously connecting an open quantum random walk and a quantum walk with parameters $M\in \mathbb{N}$ controlling a decoherence effect; if $M=1$, the walk coincides with an open quantum random walk, while $M=\infty$, the walk coincides with a quantum walk.
Norio Konno, Kaname Matsue, Etsuo Segawa
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Revisiting one-dimensional discrete-time quantum walks with general coin
Physics Open, 2023 Quantum walk (QW) is the quantum analog of the random walk. QW is an integral part of the development of numerous quantum algorithms. Hence, an in-depth understanding of QW helps us to grasp the quantum algorithms. We revisit the one-dimensional discrete-
Mahesh N. Jayakody +2 more
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Measurement-induced quantum walks on an IBM quantum computer
Physical Review Research, 2023 We study a quantum walk of a single particle that is subject to stroboscopic projective measurements on a graph with two sites. This two-level system is the minimal model of a measurement-induced quantum walk.
Sabine Tornow, Klaus Ziegler
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Quantum walks on embeddings [PDF]
Journal of Algebraic Combinatorics, 2020 We introduce a new type of discrete quantum walks, called vertex-face walks, based on orientable embeddings. We first establish a spectral correspondence between the transition matrix $U$ and the vertex-face incidence structure. Using the incidence graph, we derive a formula for the principal logarithm of $U^2$, and find conditions for its underlying ...
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