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We study a 2-D disordered time-discrete quantum walk based on 1-D `generalized elephant quantum walk' where an entangling coin operator is assumed and which paves the way to a new set of properties. We show that considering a given disorder…

Exploring the quantum walk as a tool of generating various probability distributions and quantum entanglements is a topic of current interest. In the present work, we use extensive numerical simulations to investigate the influence of…

量子物理 · 物理学 2024-03-14 Tushar Kanti Bose

We study a generalized Hadamard walk in one dimension with three inner states. The particle governed by the three-state quantum walk moves, in superposition, both to the left and to the right according to the inner state. In addition to…

量子物理 · 物理学 2009-11-11 Norio Inui , Norio Konno , Etsuo Segawa

Quantum walks are dynamic systems with a wide range of applications in quantum computation and quantum simulation of analog systems, therefore it is of common interest to understand what changes from an isolated process to one embedded in…

量子物理 · 物理学 2022-12-19 Luísa Toledo Tude , Marcos C. de Oliveira

A review of discrete quantum walk with two particle is given. The use of different states encountered in identical particle, and the idea of entanglement and superposition is explored to explored the interesting dynamics of two particle…

量子物理 · 物理学 2012-05-22 Joachim Nsofini

We study the evolution of quantum correlations in two-particle discrete-time non-unitary quantum walks on a line with gain and loss. The two particles are initially prepared in a maximally entangled state and evolve independently. Using…

量子物理 · 物理学 2025-05-07 Gene M. M. Itable , Francis N. C. Paraan

We study a spin-1/2-particle moving on a one dimensional lattice subject to disorder induced by a random, space-dependent quantum coin. The discrete time evolution is given by a family of random unitary quantum walk operators, where the…

量子物理 · 物理学 2015-05-27 Andre Ahlbrecht , Volkher B. Scholz , Albert H. Werner

Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols.…

量子物理 · 物理学 2020-11-05 Meng Li , Yun Shang

We propose a novel implementation of discrete time quantum walks for a neutral atom in an array of optical microtraps or an optical lattice. We analyze a one-dimensional walk in position space, with the coin, the additional qubit degree of…

量子物理 · 物理学 2009-11-11 K. Eckert , J. Mompart , G. Birkl , M. Lewenstein

There are presently two models for quantum walks on graphs. The "coined" walk uses discrete time steps, and contains, besides the particle making the walk, a second quantum system, the coin, that determines the direction in which the…

量子物理 · 物理学 2009-11-10 Mark Hillery , Janos Bergou , Edgar Feldman

The symmetries associated with discrete-time quantum walks (DTQWs) and the flexibilities in controlling their dynamical parameters allow to create a large number of topological phases. An interface in position space, which separates two…

量子物理 · 物理学 2015-02-13 C. M. Chandrashekar , H. Obuse , Th. Busch

A coinless, discrete-time quantum walk possesses a Hilbert space whose dimension is smaller compared to the widely-studied coined walk. Coined walks require the direct product of the site basis with the coin space, coinless walks operate…

量子物理 · 物理学 2015-05-27 Renato Portugal , Stefan Boettcher , Stefan Falkner

The staggered quantum walk is a type of discrete-time quantum walk model without a coin which can be generated on a graph using particular partitions of the graph nodes. We design Hamiltonians for potential realization of the staggered…

量子物理 · 物理学 2018-07-25 Jalil Khatibi Moqadam , Ali T. Rezakhani

We consider two independent quantum walks on separate lines augmented by partial or full swapping of coins after each step. For classical random walks, swapping or not swapping coins makes little difference to the random walk…

量子物理 · 物理学 2012-02-08 Peng Xue , Barry C. Sanders

We analyze two families of three-state quantum walks which show the localization effect. We focus on the role of the initial coin state and its coherence in controlling the properties of the quantum walk. In particular, we show that the…

量子物理 · 物理学 2014-08-29 Martin Stefanak , Iva Bezdekova , Igor Jex

A quantum walk on a toral phase space involving translations in position and its conjugate momentum is studied in the simple context of a coined walker in discrete time. The resultant walk, with a family of coins parametrized by an angle is…

量子物理 · 物理学 2018-09-26 Sivaprasad Omanakuttan , Arul Lakshminarayan

We show that the entanglement between the internal (spin) and external (position) degrees of freedom of a qubit in a random (dynamically disordered) one-dimensional discrete time quantum random walk (QRW) achieves its maximal possible value…

量子物理 · 物理学 2013-11-04 Rafael Vieira , Edgard P. M. Amorim , Gustavo Rigolin

The discrete-time quantum walk dynamics can be generated by a time-dependent Hamiltonian, repeatedly switching between the coin and the shift generators. We change the model and consider the case where the Hamiltonian is time-independent,…

量子物理 · 物理学 2022-03-03 Jalil Khatibi Moqadam , Marcos Cesar de Oliveira

The entanglement between the position and coin state of a $N$-dimensional quantum walker is shown to lead to a thermodynamic theory. The entropy, in this thermodynamics, is associated to the reduced density operator for the evolution of…

量子物理 · 物理学 2015-06-22 Alejandro Romanelli , Raul Donangelo , Renato Portugal , Franklin L. Marquezino

We examine the physical implementation of a discrete time quantum walk with a four-dimensional coin. Our quantum walker is a photon moving repeatedly through a time delay loop, with time being our position space. The quantum coin is…

量子物理 · 物理学 2011-03-02 Craig S Hamilton , Aurel Gabris , Igor Jex , Stephen M Barnett