Results 11 to 20 of about 1,909 (256)
Quantum walk processes in quantum devices
Heliyon, 2023 Simulation and programming of current quantum computers as Noisy Intermediate-Scale Quantum (NISQ) devices represent a hot topic at the border of current physical and information sciences.
Anandu Kalleri Madhu +4 more
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Efficient quantum walk on a quantum processor [PDF]
Nature Communications, 2016 Quantum walks are a potential framework for developing quantum algorithms, but have so far been limited to analogue quantum-simulation approaches that do not scale.
Xiaogang Qiang +7 more
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Multidimensional Quantum Walks
Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 2023 While the quantum query complexity of k-distinctness is known to be O(n3/4 − 1/4(2k−1)) for any constant k≥ 4 [Belovs, FOCS 2012], the best previous upper bound on the time complexity was O(n1−1/k). We give a new upper bound of O(n3/4 − 1/4(2k−1)) on the time complexity, matching the query complexity up to polylogarithmic factors.
S. Jeffery (Stacey) +1 more
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Quantum stochastic walks: A generalization of classical random walks and quantum walks [PDF]
Physical Review A, 2010 We introduce the quantum stochastic walk (QSW), which determines the evolution of generalized quantum mechanical walk on a graph that obeys a quantum stochastic equation of motion. Using an axiomatic approach, we specify the rules for all possible quantum, classical and quantum-stochastic transitions from a vertex as defined by its connectivity.
Whitfield, James D. +2 more
openaire +7 more sources
SIAM Journal on Applied Algebra and Geometry, 2023 22 pages, 5 figures.
Gabriel Coutinho +4 more
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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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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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Designing exceptional-point-based graphs yielding topologically guaranteed quantum search
Physical Review Research, 2023 Quantum walks underlie an important class of quantum computing algorithms, and represent promising approaches in various simulations and practical applications.
Quancheng Liu +2 more
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Quantum walk hydrodynamics [PDF]
Scientific Reports, 2019 AbstractA simple Discrete-Time Quantum Walk (DTQW) on the line is revisited and given an hydrodynamic interpretation through a novel relativistic generalization of the Madelung transform. Numerical results show that suitable initial conditions indeed produce hydrodynamical shocks and that the coherence achieved in current experiments is robust enough ...
Hatifi, Mohamed +3 more
openaire +7 more sources
Demonstration of reversed non-Hermitian skin effect via quantum walks on a ladder
New Journal of Physics, 2023 Quantum walks hold enormous potential applications in various areas such as quantum computing and quantum simulation. Discrete-time quantum walks on a ladder offer greater prospects compared to traditional quantum walks, especially in addressing physical
Xiaowei Wang +5 more
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