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We investigate the dynamics of non-interacting particles in a one-dimensional tight-binding chain in the presence of an electric field with random amplitude drawn from a Gaussian distribution, and explicitly focus on the nature of quantum…

Disordered Systems and Neural Networks · Physics 2025-02-11 Vatsana Tiwari , Sushanta Dattagupta , Devendra Singh Bhakuni , Auditya Sharma

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

As a natural extension of Fan's paper (arXiv: 0903.1769vl [quant-ph]) by employing the formula of operators' Weyl ordering expansion and the bipartite entangled state representation we find new two-fold complex integration transformation…

Quantum Physics · Physics 2015-05-14 Hong-yi Fan , Hong-chun Yuan

The turning distance is a well-studied metric for measuring the similarity between two polygons. This metric is constructed by taking an $L^p$ distance between step functions which track each shape's tangent angle of a path tracing its…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Alex Dolce , Ryan Lavelle , Bernard Scott , Ashlyn Urbanski , Joseph Klobusicky

We address the problem of estimating the phase phi given N copies of the phase rotation u(phi) within an array of quantum operations in finite dimensions. We first consider the special case where the array consists of an arbitrary input…

Quantum Physics · Physics 2009-11-13 Wim van Dam , G. Mauro D'Ariano , Artur Ekert , Chiara Macchiavello , Michele Mosca

Quantum transmission spectra of a twisted electron waveguide expose the coupling between traveling and quasi-bound states. Through a direct numerical solution of the open-boundary Schr\"odinger equation we single out the effects of the…

Quantum Physics · Physics 2016-04-29 Giampaolo Cuoghi , Andrea Bertoni , Andrea Sacchetti

We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control…

Pattern Formation and Solitons · Physics 2009-11-07 Seong-Ok Jeong , Tae-Wook Ko , Hie-Tae Moon

Restrictions imposed by existing infrastructure can make it hard to ensure an even spacing between the nodes of future fiber-based quantum networks. We here investigate the negative effects of asymmetric node placement by considering…

Quantum Physics · Physics 2024-06-19 Guus Avis , Robert Knegjens , Anders S. Sørensen , Stephanie Wehner

Higher (2nd)-order Wigner distribution function in quantum phase space for entangled bi-modal coherent states, a representative of higher (2nd)-order optical-polarization, is introduced by generalizing kernel (transiting) operator in…

Quantum Physics · Physics 2012-04-04 Ravi S. Singh , Sunil P. Singh , Lallan Yadava , Gyaneshwar K. Gupta

The probability distribution for finding a state of the radiation field in a particular phase is described by a multitude of theoretical formalisms; the phase-sensitivity of the Wigner quasi-probability distribution being one of them. We…

Quantum Physics · Physics 2012-04-09 T. Subeesh , Vivishek Sudhir

We present some results from simulation of a network of nodes connected by c-NOT gates with nearest neighbors. Though initially we begin with pure states of varying boundary conditions, the updating with time quickly involves a complicated…

Quantum Physics · Physics 2007-05-23 Fariel Shafee

One of the most prominent quasiprobability functions in quantum mechanics is the Wigner function that gives the right marginal probability functions if integrated over position or momentum. Here we depart from the definition of the…

Quantum Physics · Physics 2013-03-13 Hector Moya-Cessa

We demonstrate the unique capabilities of the Wigner function, particularly in its positive and negative parts, for exploring the phase diagram of the spin$-(\frac{1}{2\!}-\!\frac{1}{2})$ and spin$-(\frac{1}{2}\!-\!1)$ Ising-Heisenberg…

We study quasi-stationary distributions and quasi-limiting behavior of Markov chains in general reducible state spaces with absorption. We propose a set of assumptions dealing with particular situations where the state space can be…

Probability · Mathematics 2026-01-14 Nicolas Champagnat , Denis Villemonais

Phase spaces as given by the Wigner distribution function provide a natural description of infinite-dimensional quantum systems. They are an important tool in quantum optics and have been widely applied in the context of time-frequency…

Quantum Physics · Physics 2023-10-27 Bálint Koczor , Frederik vom Ende , Maurice de Gosson , Steffen J. Glaser , Robert Zeier

Within the broad theme of understanding the dynamics of disordered quantum many-body systems, one of the simplest questions one can ask is: given an initial state, how does it evolve in time on the associated Fock-space graph, in terms of…

Disordered Systems and Neural Networks · Physics 2023-04-12 Isabel Creed , David E. Logan , Sthitadhi Roy

Large-scale quantum networks, necessary for distributed quantum information processing, are posited to have quantum entangled systems between distant network nodes. The extent and quality of distributed entanglement in a quantum network,…

Quantum Physics · Physics 2024-01-08 Md Sohel Mondal , Dov Fields , Vladimir S. Malinovsky , Siddhartha Santra

We study the relationship between synchronization and the rate with which information is exchanged between nodes in a spatio-temporal network that describes the dynamics of classical particles under a substrate Remoissenet-Peyrard…

Chaotic Dynamics · Physics 2009-11-13 F. M. Moukam Kakmeni , M. S. Baptista

We investigate bipartite entanglement in random quantum $XY$ models at equilibrium. Depending on the intrinsic time scales associated with equilibration of the random parameters and measurements associated with observation of the system, we…

Quantum Physics · Physics 2020-01-03 Anindita Bera , Debasis Sadhukhan , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

Regular families of coupled quantum networks are described such the unknown state of a qubit can be perfectly routed from any node to any other node in a time linear in the distance. Unlike previous constructions, the transfer can be…

Quantum Physics · Physics 2011-01-17 Peter J. Pemberton-Ross , Alastair Kay