Results 21 to 30 of about 100,483 (275)
Measurement-induced quantum walks
Physical Review E, 2022 We investigate a tight binding quantum walk on a graph. Repeated stroboscopic measurements of the position of the particle yield a measured "trajectory", and a combination of classical and quantum mechanical properties for the walk are observed. We explore the effects of the measurements on the spreading of the packet on a one dimensional line, showing
A. Didi, E. Barkai
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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 relativistic discrete spacetime formulation of 3+1 QED [PDF]
Quantum, 2023 This work provides a relativistic, digital quantum simulation scheme for both $2+1$ and $3+1$ dimensional quantum electrodynamics (QED), based on a discrete spacetime formulation of theory.
Nathanaël Eon +3 more
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Physical Review A, 2020 Open quantum walks (OQWs) describe a quantum walker on an underlying graph whose dynamics is purely driven by dissipation and decoherence. Mathematically, they are formulated as completely positive trace preserving (CPTP) maps on the space of density matrices for the walker on the graph.
Garreth Kemp +2 more
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Virtually Abelian quantum walks [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 We introduce quantum walks on Cayley graphs of non-Abelian groups. We focus on the easiest case of virtually Abelian groups, and introduce a technique to reduce the quantum walk to an equivalent one on an Abelian group with coin system having larger dimension.
D'ARIANO, GIACOMO +3 more
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One-Dimensional Lazy Quantum Walk in Ternary System
IEEE Transactions on Quantum Engineering, 2021 Quantum walks play an important role for developing quantum algorithms and quantum simulations. Here, we introduce a first of its kind one-dimensional lazy quantum walk in the ternary quantum domain and show its equivalence for circuit realization in ...
Amit Saha +3 more
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Quantum to classical walk transitions tuned by spontaneous emissions
Physical Review Research, 2021 We have realized a quantum walk in momentum space with a rubidium spinor Bose-Einstein condensate by applying a periodic kicking potential as a walk operator and a resonant microwave pulse as a coin toss operator. The generated quantum walks appear to be
J. H. Clark +7 more
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Discrete-time quantum walk on complex networks for community detection
Physical Review Research, 2020 Many systems such as social networks and biological networks take the form of complex networks, which have a community structure. Community detection in complex networks is of great interest to many researchers in statistical physics and mathematical ...
Kanae Mukai, Naomichi Hatano
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Evolution of quantum resources in quantum-walk-based search algorithm
Results in Physics, 2023 Quantum walk is fundamental to designing many quantum algorithms. Here we consider the effects of quantum coherence and quantum entanglement for the quantum walk search on the complete bipartite graph.
Meng Li, Xian Shi
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