Negative correlations can play a positive role in disordered quantum walks

Pires, Marcelo A.; Queirós, Sı́lvio M. Duarte

doi:10.1038/s41598-021-84073-4

Cited by 9 publications

(4 citation statements)

References 59 publications

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“…Although there is a substantial number of works analyzing entanglement features of 1D QWs [12,16,34,[52][53][54][55][56][57][58][59][60][61][62][63], there are far fewer studies on entanglement in 2D QWs [37][38][39][40]. Thus, this work also makes a contribution in such subject.…”

Section: Discussionmentioning

confidence: 99%

“…Concerning standard QWs, the first systematic studies can be ascribed to [9] where it was also shown that the introduction of disorder can lead to the emergence of a classical distribution. It is worth heeding the appearance of classical-like spreading is observed in 1D QWs as well [10][11][12][13][14][15][16]. Moreover, by increasing the dimension of the QW it is possible to increase the noise level and still obtain more coherence [17].…”

Section: Introductionmentioning

confidence: 96%

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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: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

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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“…This counterintuitive result was demonstrated mathematically in 2013 [26] and experimentally in 2018 [22]. Further works have provided an analysis of the entanglement considering several protocols of disorder embedded either in the coin operator [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] or in the step operator [42][43][44]. With some exceptions, the overwhelming majority of these works focused on QW dynamics from local initial states.…”

Section: Literature Reviewmentioning

confidence: 99%

Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states

Naves¹,

Pires²,

Soares-Pinto³

et al. 2022

Preprint

Self Cite

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Quantum walks are paradigmatic models for studies spanning from fundamental properties of quantum theory to realizations of quantum algorithms. For many years, a plethora of important results based on such models appeared in literature. Recently, a quantum walk with a nonstandard step operator was proposed and named the elephant quantum walk (EQW). With proper statistical distribution for the steps, the generalized EQW (gEQW) can be programmable to exhibit a myriad of dynamical behavior ranging from diffusion and superdiffusion to ballistic and hyperballistic spreading. Such a rich phenomenology makes the gEQW a promising model. In this work we study the influence of the statistics of the step size and the delocalization of the initial states on the entanglement entropy of the coin. Our results show that the gEQW generates maximally entangled states for almost all initial coin states and coin operators considering initially localized walkers and for the delocalized ones, taking the proper limit, the same condition is guaranteed.

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“…Pires and Duarte Queirós [5] investigate the emerging properties of quantum walks with temporal disorder engineered from a binary Markov chain with tailored correlation and disorder strength. They show that negatively correlated disorder plays a significant role in quantum entanglement.…”

Section: Introductionmentioning

confidence: 99%

Yin Yang Cosmology

McCoss¹

2023

JMP

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Inspired by Niels Bohr's adoption of the Taijitu symbol of Yin Yang in his quantum complementarity worldview, this original paper introduces Yin Yang cosmology as an original epistemic quantum information theoretic model of the cosmos. The model is relation-based (not object-based) and is fundamentally established on foundations of positive and negative correlations between correlates. Adopting the holographic principle of 't Hooft, the fundamental dualistic processes of Yin Yang cosmology are interacting self-assembly (host) and self-disassembly (virus) subroutines in a superposition algorithm that cooperate in a phase portrait on a holographic boundary. This cooperative self-assembly and self-disassembly Yin Yang cosmology is formalized in a pair of differential equations that plot as orthogonal swirling Taijitu, and which together form an epistemic information-accreting unit-circle limit-cycle. Formal and natural descriptions are given for the continuously evolving saturation of quantum information entropy production under Yin Yang theoretic unit circle limit cycle dynamics. This original paper includes a short discussion on the known cosmos, from Big Bang to thermodynamic Big Chill, which is a quarter-cycle in Yin Yang cosmology. Our known thermodynamic cosmos is contextualized within a Yin Yang full-oscillation stationary wave that self-evolves, both its content (correlations between correlates) and its emergent laws, all-at-once in superposition. In a general theory of thermodynamics, the four superposed quarter-cycles of Yin Yang cosmology are: thermodynamic (the known cosmos), cryodynamic, anti-thermodynamic and anti-cryodynamic. Yin Yang cosmology guided by its epistemic limit cycle, self-evolves towards a self-referential symbolic ouroboros of quantum cosmological intelligence and generates Hawking's ex post facto configurations for Life.

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Negative correlations can play a positive role in disordered quantum walks

Cited by 9 publications

References 59 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

Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states

Yin Yang Cosmology

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