Quantum walks: Decoherence and coin-flipping games

Romanelli, A.; Hernández, Guzmán

doi:10.1016/j.physa.2010.12.006

Cited by 22 publications

(21 citation statements)

References 59 publications

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“…[33,34,37] for the GCD dynamics, but there a handmade technique [39,40] was used to separate the Markovian evolution from the interference term. It can also be obtained [34] from Eqs. (16,17) that, According to this, it is expected that the asymptotic GCD will satisfy the following equations…”

Section: Decoherence In the Qwmentioning

confidence: 99%

Spatially Dependent Decoherence and Anomalous Diffussion of Quantum Walks

Cañellas¹,

Romanelli²

2013

Jnl of Comp & Theo Nano

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We analyze the long time behavior of a discrete time quantum walk subject to decoherence with a strong spatial dependence, acting on one half of the lattice. We show that, except for limiting cases on the decoherence parameter, the quantum walk at late times behaves sub-ballistically, meaning that the characteristic features of the quantum walk are not completely spoiled. Contrarily to expectations, the asymptotic behavior is non Markovian, and depends on the amount of decoherence. This feature can be clearly shown on the long time value of the Generalized Chiral Distribution (GCD).

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Section: Decoherence In the Qwmentioning

confidence: 99%

Spatially Dependent Decoherence and Anomalous Diffussion of Quantum Walks

Cañellas¹,

Romanelli²

2013

Jnl of Comp & Theo Nano

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“…When considering the real experimental implementation, the physical system will have an inevitable interaction with the surrounding environment. Many studies of DTQW report that due to the decoherence induced by the environment, the position distribution pattern of QW change to a binomial distribution that is similar to the distribution of the classical walk [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. For the coherent QW, the variance of position distribution in the QW grows quadratically with time.…”

Section: Introductionmentioning

confidence: 99%

Extraordinary behaviors in a two-dimensional decoherent alternative quantum walk

Chen

Zhang

2016

Phys. Rev. A

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The quantum and classical behaviors of two-dimensional (2D) alternative quantum walk (AQW) in the presence of decoherence have been discussed in detail. For any kinds of decoherence, the analytic expressions for the moments of position distribution of AQW have been obtained. Taking the broken line noise and coin-decoherence as examples of decoherence, we find that when the decoherence only emerges in one direction, the anisotropic position distribution pattern appears, and not all the motions of quantum walkers exhibit the transition from quantum to classical behaviors. The correlations between the walkers and the coin in 2D AQW have been discussed. The anisotropic correlations between walkers and coin have been revealed in the presence of decoherence.

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“…Romanelli and Hernandez explored the global chirality distribution of the quantum walk on the line when decoherence is enclosed, which is similar to the spin-flip game. These games are characterized by a continuous space of strategies, and the selection of an initial condition determines the particular strategy chosen by the player [12] . Iqbal and Abbott use the setting of a quantum correlation experiment for considering the instances of matching pennies [13] .…”

Section: A the Main Classical Game Models And Its Quantum Counterpartmentioning

confidence: 99%

“…Romanell and Hernandez investigate the global chirality distribution of the quantum walk on the line when decoherence is introduced either through simultaneous measurements of the chirality and particle position, or as a result of broken links. The first mechanism drives the system towards a classical diffusive behavior; the second mechanism involves two different possibilities [12] . Chandrashekar and Banerjee present a new form of a Parrondo game using discrete-time quantum walk on a line.…”

Section: B Quantum Dynamics and Network Modelsmentioning

confidence: 99%

A survey of the current status of research on quantum games

Huang

2018

2018 4th International Conference on Information Management (ICIM)

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obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.The WestminsterResearch online digital archive at the University of Westminster aims to make the research output of the University available to a wider audience. Copyright and Moral Rights remain with the authors and/or copyright owners.Whilst further distribution of specific materials from within this archive is forbidden, you may freely distribute the URL of WestminsterResearch: ((http://westminsterresearch.wmin.ac.uk/).In case of abuse or copyright appearing without permission e-mail repository@westminster.ac.uk Huang, Dingxuan & Li, Shuliang Abstract -Quantum games have gained considerable interest from researchers. In this paper, on the basis of the Web of Science database, through the use of the social network analysis methods, the literature on quantum games is analyzed from three aspects: the keywords co-occurrence, coauthorship, and co-citation. In the process of analysis, the main quantum game models are reviewed with graphical illustrations. Our paper provides a survey and outline of the current status of research in this field, and identify directions for future work.. A Survey of the Current Status of Research on Quantum Games. In: Proceedings of the 2018 4th International Conference on Information Management (ICIM2018), 25th to 27th May 2018, Oxford, United Kingdom. IEEE. pp.46-52. ISBN: 978-1-5386-6146-8/18. A Survey of the Current Status of Research on Quantum Games

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Quantum walks: Decoherence and coin-flipping games

Cited by 22 publications

References 59 publications

Spatially Dependent Decoherence and Anomalous Diffussion of Quantum Walks

Spatially Dependent Decoherence and Anomalous Diffussion of Quantum Walks

Extraordinary behaviors in a two-dimensional decoherent alternative quantum walk

A survey of the current status of research on quantum games

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