One-dimensional quantum walks driven by two-entangled-qubit coins

Panahiyan, S.; Fritzsche, S.

doi:10.1016/j.physleta.2020.126673

Cited by 3 publications

(1 citation statement)

References 39 publications

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“…In all of the aforementioned works it was employed a standard step operator; however, novel phenomena emerge when the discrete-time QW is employed with nonstandard translation operators [18][19][20][21][22][23][24][25][26][27][28] or bespoken coins [29,30]. For instance, in [23] it was presented a solvable quantum model, the elephant QW (EQW), which is able to spread hyperballistically.…”

Section: Introductionmentioning

confidence: 99%

Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

Naves

Pires

Soares-Pinto

et al. 2023

J. Phys. A: Math. Theor.

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We study a 2D disordered discrete-time quantum walk based on 1D generalized elephant quantum walk where an entangling coin operator is assumed. We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random quantum walks of this ilk serve as a controllable decoherence channel with the degree of randomness being the tunable parameter and highlight the role of dimensionality in quantum systems regarding information and transport.

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Section: Introductionmentioning

confidence: 99%

Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

Naves

Pires

Soares-Pinto

et al. 2023

J. Phys. A: Math. Theor.

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Quantum walk and its application domains: A systematic review

Kadian

Garhwal

Kumar

2021

Computer Science Review

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Development of Evolutionary Systems Based on Quantum Petri Nets

et al. 2022

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Evolutionary systems (ES) include software applications that solve problems using heuristic methods instead of the deterministic ones. The classical computing used for ES development involves random methods to improve different kinds of genomes. The mappings of these genomes lead to individuals that correspond to the searched solutions. The individual evaluations by simulations serve for the improvement of their genotypes. Quantum computations, unlike the classical computations, can describe and simulate a large set of individuals simultaneously. This feature is used to diminish the time for finding the solutions. Quantum Petri Nets (QPNs) can model dynamical systems with probabilistic features that make them appropriate for the development of ES. Some examples of ES applications using the QPNs are given to show the benefits of the current approach. The current research solves quantum evolutionary problems using quantum genetic algorithms conceived and improved based on QPN. They were tested on a dynamic system using a Quantum Discrete Controlled Walker (QDCW).

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One-dimensional quantum walks driven by two-entangled-qubit coins

Cited by 3 publications

References 39 publications

Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

Quantum walk and its application domains: A systematic review

Development of Evolutionary Systems Based on Quantum Petri Nets

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