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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

In discrete-time quantum walk (DTQW) the walker's coin space entangles with the position space after the very first step of the evolution. This phenomenon may be exploited to obtain the value of the coin parameter $\theta$ by performing…

量子物理 · 物理学 2019-07-10 Shivani Singh , C. M. Chandrashekar , Matteo G. A. Paris

The coherent superposition of position states in a quantum walk (QW) can be precisely engineered towards the desired distributions to meet the need of quantum information applications. The coherent distribution can make full use of quantum…

In the literature, there are numerous studies of one-dimensional discrete-time quantum walks (DTQWs) using a moving shift operator. However, there is no exact solution for the limiting probability distributions of DTQWs on cycles using a…

量子物理 · 物理学 2016-10-20 Xin-Ping Xu , Yusuke Ide

Entanglement with single-particle states is advantageous in quantum technology because of their ability to encode and process information more securely than their multi-particle analogs. Threeway and nonlocal two-way entangled…

量子物理 · 物理学 2025-01-14 Dinesh Kumar Panda , Colin Benjamin

The preparation of initial superposition states of discrete-time quantum walks (DTQWs) are necessary for the study and applications of DTQWs. In linear optics, it is easy to prepare initial superposition states of the coin, which are always…

We present the first robust implementation of a coined quantum walk over five steps using only passive optical elements. By employing a fiber network loop we keep the amount of required resources constant as the walker's position Hilbert…

量子物理 · 物理学 2015-05-14 A. Schreiber , K. N. Cassemiro , V. Potocek , A. Gabris , P. J. Mosley , E. Andersson , I. Jex , Ch. Silberhorn

This work investigates a discrete-time quantum walk on a one-dimensional lattice driven by three entangled coins, each initialized via a Hadamard operator. The walker moves only when all three coins yield identical outcomes (HHH or TTT),…

量子物理 · 物理学 2026-05-05 Seyed Mohsen Moosavi Khansari

We introduce quantum walks with a time-dependent coin, and show how they include, as a particular case, the generalized quantum walk recently studied by Wojcik et al. {[}Phys. Rev. Lett. \textbf{93}, 180601(2004){]} which exhibits…

量子物理 · 物理学 2009-11-11 M. C. Banuls , C. Navarrete , A. Perez , Eugenio Roldan , J. C. Soriano

We demonstrate a platform for implementing quantum walks that overcomes many of the barriers associated with photonic implementations. We use coupled fiber-optic cavities to implement time-bin encoded walks in an integrated system. We show…

量子物理 · 物理学 2019-01-29 J. Boutari , A. Feizpour , S. Barz , C. Di Franco , M. S. Kim , W. S. Kolthammer , I. A. Walmsley

We implement the discrete-time quantum walk model using the continuous-time evolution of the Hamiltonian that includes both the shift and the coin generators. Based on the Trotter-Suzuki first-order approximation, we consider an…

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

We propose a scheme to implement the one-dimensional coined quantum walk with electrons transported through a two-dimensional network of spintronic semiconductor quantum rings. The coin degree of freedom is represented by the spin of the…

介观与纳米尺度物理 · 物理学 2009-07-30 Orsolya Kálmán , Tamás Kiss , Péter Földi

Discrete-time quantum walks (QWs) represent robust and versatile platforms for the controlled engineering of single particle quantum dynamics, and have attracted special attention due to their algorithmic applications in quantum information…

量子物理 · 物理学 2013-05-14 Simon Moulieras , Maciej Lewenstein , Graciana Puentes

The parametric maximum likelihood estimation problem is addressed in the context of quantum walk theory for quantum walks on the lattice of integers. A coin action is presented, with the real parameter $\theta$ to be estimated identified…

量子物理 · 物理学 2023-05-31 Demosthenes Ellinas , Peter D. Jarvis , Matthew Pearce

Exploiting multi-dimensional quantum walks as feasible platforms for quantum computation and quantum simulation is attracting constantly growing attention from a broad experimental physics community. Here, we propose a two-dimensional…

量子物理 · 物理学 2015-01-22 Carlo Di Franco , Mauro Paternostro

Quantum walk (QW), which is considered as the quantum counterpart of the classical random walk (CRW), is actually the quantum extension of CRW from the single-coin interpretation. The sequential unitary evolution engenders correlation…

量子物理 · 物理学 2020-03-11 Jin-Fu Chen , Yu-Han Ma , Chang-Pu Sun

The dimensionality of the internal coin space of discrete-time quantum walks has a strong impact on the complexity and richness of the dynamics of quantum walkers. While two-dimensional coin operators are sufficient to define a certain…

The study of quantum walk processes has been widely divided into two standard variants, the discrete-time quantum walk (DTQW) and the continuous-time quantum walk (CTQW). The connection between the two variants has been established by…

量子物理 · 物理学 2008-11-08 C. M. Chandrashekar

We investigate quantum entanglement of three photons performing discrete-time quantum walk (DTQW) on the nearest-neighbor sites of a square lattice. Such a DTQW setup has already been proposed to be realizable using linear optical elements.…

量子物理 · 物理学 2021-05-18 Deniz N. Bozkurt , Özgür E. Müstecaplıoğlu

The coin-position entanglement generated by the evolution operator of a discrete--time quantum walk converges, in the long time limit, to a well defined value which depends on the initial state. We also discuss the asymptotic bi-partite…

量子物理 · 物理学 2007-09-21 G. Abal , R. Donangelo , H. Fort