Results 21 to 30 of about 104,281 (223)
Physical Review A, 2022 We propose a new family of discrete-spacetime quantum walks capable to propagate on any arbitrary triangulations. Moreover we also extend and generalize the duality principle introduced by one of the authors, linking continuous local deformations of a given triangulation and the inhomogeneity of the local unitaries that guide the quantum walker.
Di Molfetta, Giuseppe, Deng, Victor
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Multi-qubit quantum computing using discrete-time quantum walks on closed graphs
Scientific Reports, 2023 Universal quantum computation can be realised using both continuous-time and discrete-time quantum walks. We present a version based on single particle discrete-time quantum walk to realize multi-qubit computation tasks.
Prateek Chawla +4 more
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Inhomogeneous quantum walks [PDF]
Physical Review A, 2009 11 ...
Linden, Noah, Sharam, James
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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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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 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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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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