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Decoherence phenomenon has been widely studied in different types of quantum walks. In this work we show how to model decoherence inspired by percolation on staggered quantum walks. Two models of unitary noise are described: breaking…

量子物理 · 物理学 2022-07-20 R. A. M. Santos , F. L. Marquezino

Lateral quantum dot molecules consist of at least two closely-spaced InGaAs quantum dots arranged such that the axis connecting the quantum dots is perpendicular to the growth direction. These quantum dot complexes are called molecules…

介观与纳米尺度物理 · 物理学 2015-05-30 X. Zhou , S. Sanwlani , W. Liu , J. H. Lee , Zh. M. Wang , G. Salamo , M. F. Doty

In this article we investigate the effects of shifting position decoherence, arisen from the tunneling effect in the experimental realization of the quantum walk, on the one-dimensional discreet time quantum walk. We show that in the regime…

量子物理 · 物理学 2017-06-06 Mostafa Annabestani , Seyed Javad Akhtarshenas , Mohamad Reza Abolhassani

We study transport within a spatially heterogeneous one-dimensional quantum walk with a combination of hierarchical and random barriers. Recent renormalization group calculations for a spatially disordered quantum walk with a regular…

量子物理 · 物理学 2022-06-09 Richa Sharma , Stefan Boettcher

Coherent dynamics of interacting quantum particles plays a central role in the study of strongly correlated quantum matter and the pursuit of quantum information processors. Here, we present the state-space of interacting Rydberg atoms as a…

量子物理 · 物理学 2024-08-20 Tao Chen , Chenxi Huang , Bryce Gadway , Jacob P. Covey

Quantum walk acts obviously different from its classical counterpart, but decoherence will lessen and close the gap between them. To understand this process, it is necessary to investigate the evolution of quantum walk under different…

量子物理 · 物理学 2015-06-04 Peng Xue , Yongsheng Zhang

The quantum walk (QW) is the term given to a family of algorithms governing the evolution of a discrete quantum system and as such has a founding role in the study of quantum computation. We contribute to the investigation of QW phenomena…

量子物理 · 物理学 2015-07-02 Hao Luo , Peng Xue

It is demonstrated that in gate-based quantum computing architectures quantum walk is a natural mathematical description of quantum gates. It originates from field-matter interaction driving the system, but is not attached to specific qubit…

量子物理 · 物理学 2020-05-08 Dmitry Solenov

Decoherence of a quantum state coupled to an exterior environment is at the foundation of our understanding of the emergence of classical behavior from the quantum world, but how does it emerge in a finite closed quantum system? Here this…

量子物理 · 物理学 2015-06-16 O. Fialko

Recently, it has been shown that one-dimensional quantum walks can mix more quickly than classical random walks, suggesting that quantum Monte Carlo algorithms can outperform their classical counterparts. We study two quantum walks on the…

量子物理 · 物理学 2007-05-23 Cristopher Moore , Alexander Russell

A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally, guided by the waves it generates on each impact. This results in a self-propelled classical particle-wave entity. By using a one-dimensional…

流体动力学 · 物理学 2021-07-14 Rahil N. Valani , Anja C. Slim , David M. Paganin , Tapio P. Simula , Theodore Vo

We prove analytical results showing that decoherence can be useful for mixing time in a continuous-time quantum walk on finite cycles. This complements the numerical observations by Kendon and Tregenna (Physical Review A 67 (2003), 042315)…

量子物理 · 物理学 2007-05-23 Leonid Fedichkin , Dmitry Solenov , Christino Tamon

In this contribution, pursuing our research program extending the atoms in molecules analysis into unorthodox domains, another key ingredient of the two-component quantum theory of atoms in molecules (TC-QTAIM) namely, the theory of…

化学物理 · 物理学 2013-10-29 Mohammad Goli , Shant Shahbazian

Consider a discrete-time quantum walk on the $N$-cycle subject to decoherence both on the coin and the position degrees of freedom. By examining the evolution of the density matrix of the system, we derive some new conclusions about the…

量子物理 · 物理学 2011-07-20 Chaobin Liu , Nelson Petulante

Quantum walks exhibit many unique characteristics compared to classical random walks. In the classical setting, self-avoiding random walks have been studied as a variation on the usual classical random walk. Classical self-avoiding random…

量子物理 · 物理学 2015-01-08 Elizabeth Camilleri , Peter P. Rohde , Jason Twamley

Quantum walks are counterparts of classical random walks. They spread faster, which can be exploited in information processing tasks, and constitute a versatile simulation platform for many quantum systems. Yet, some of their properties can…

量子物理 · 物理学 2021-08-04 Xiaoxiao Chen , Zhe Meng , Jian Li , Jiazhi Yang , Anning Zhang , Tomasz Kopyciuk , Pawel Kurzynski

Inspired by the classical phenomenon of random walk, the concept of quantum walk has emerged recently as a powerful platform for the dynamical simulation of complex quantum systems, entanglement production and universal quantum computation.…

Quantum walks constitute a rich area of quantum information science, where multipartite entanglement plays a central role in the dynamics and scalability of quantum advantage over classical simulators. In this work, we study the…

量子物理 · 物理学 2026-03-27 Emil K. F. Donkersloot , René Sondenheimer , Jan Sperling

We explore static noise in a discrete quantum random walk over a homogeneous cyclic graph, focusing on spectral and dynamical properties. Using a three-parameter unitary coin, we control the spectral structure of the noiseless step operator…

量子物理 · 物理学 2025-08-22 G. Juarez Rangel , B. M. Rodríguez-Lara

Interstellar infrared observation shows featured spectrum due to polycyclic aromatic hydrocarbon (PAH)at wavelength 3.3,6.2,7.6,7.8,8.6,and 11.3 micrometer,which are ubiquitously observed in many astronomical dust clouds and galaxies. Our…

星系天体物理 · 物理学 2018-08-06 Norio Ota