Results 11 to 20 of about 5,812 (253)
Quantum Ratchet in Disordered Quantum Walk [PDF]
Annalen Der Physik, 2017 Symmetrically evolving discrete quantum walk results in dynamic localization with zero mean displacement when the standard evolution operations are replaced by a temporal disorder evolution operation. In this work we show that the quantum ratchet action, that is, a directed transport in standard or disordered discrete‐time quantum walk can be realized ...
Sagnik Chakraborty +2 more
exaly +3 more sources
Multi-bit quantum random number generation from a single qubit quantum walk [PDF]
Scientific Reports, 2019 We present a scheme for multi-bit quantum random number generation using a single qubit discrete-time quantum walk in one-dimensional space. Irrespective of the initial state of the qubit, quantum interference and entanglement of particle with the ...
Anupam Sarkar, C. M. Chandrashekar
doaj +2 more sources
Efficient Quantum Walk Circuits for Metropolis-Hastings Algorithm [PDF]
Quantum, 2020 We present a detailed circuit implementation of Szegedy's quantization of the Metropolis-Hastings walk. This quantum walk is usually defined with respect to an oracle.
Jessica Lemieux +4 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
openaire +1 more source
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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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
doaj +1 more source
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
doaj +1 more source
Journal of Physics A: Mathematical and Theoretical, 2010 We introduce the quantum Levy walk to study transport and decoherence in a quantum random model. We have derived from second order perturbation theory the quantum master equation for a \textit{Levy-like particle}that moves along a lattice through hopping scale-free while interacting with a thermal bath of oscillators.
Caceres Garcia Faure, Manuel Osvaldo +1 more
openaire +3 more sources