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To facilitate the implementation of large scale photonic quantum walks, we have developed a polymer waveguide platform capable of robust, polarization insensitive single mode guiding over a broad range of visible and near- infrared…

Applied Physics · Physics 2018-08-30 James A. Grieve , Chengcan Li , Kian Fong Ng , Yi Wei Ho , José Viana-Gomes , Alexander Ling

Quantum walks (QWs) represent pillars of quantum dynamics and information processing. They provide a powerful framework for simulating quantum transport, designing search algorithms, and enabling universal quantum computation. Several…

Quantum Physics · Physics 2026-01-30 E. Stefanutti , J. Philipps , J. Buetow , A. Guidara , M. Nuvoli , A. Chiuri , L. Sansoni

Quantum walks in an elaborately designed graph, is a powerful tool simulating physical and topological phenomena, constructing analog quantum algorithms and realizing universal quantum computing. Integrated photonics technology has emerged…

We propose an implementation of a quantum walk on a circle on an optomechanical system by encoding the walker on the phase space of a radiation field and the coin on a two-level state of a mechanical resonator. The dynamics of the system is…

Quantum Physics · Physics 2015-09-24 Jalil Khatibi Moqadam , Renato Portugal , Marcos Cesar de Oliveira

Several research groups are giving special attention to quantum walks recently, because this research area have been used with success in the development of new efficient quantum algorithms. A general simulator of quantum walks is very…

Quantum Physics · Physics 2012-05-18 F. L. Marquezino , R. Portugal

This dissertation presents investigations on dynamics of discrete-time quantum walk and some of its applications. Quantum walks has been exploited as an useful tool for quantum algorithms in quantum computing. Beyond quantum computational…

Quantum Physics · Physics 2010-06-25 C. M. Chandrashekar

We propose an implementation scheme for the continuous-time quantum walk using a diatomic molecule and an optical frequency comb. We show an analogy between the quantum walk and the cascade rotational transitions induced by the optical…

Quantum Physics · Physics 2018-02-14 Leo Matsuoka , Tatsuya Kasajima , Masashi Hashimoto , Keiichi Yokoyama

With photonics, the quantum computational advantage has been demonstrated on the task of boson sampling. Next, developing quantum-enhanced approaches for practical problems becomes one of the top priorities for photonic systems. Quantum…

Based on the Dirac representation of Maxwell equations we present an explicit, discrete space-time, quantum walk-inspired algorithm suitable for simulating the electromagnetic wave propagation and scattering from inhomogeneities within…

Amplitude modulation of a tilted optical lattice can be used to steer the quantum transport of matter wave packets in a very flexible way. This allows the experimental study of the phase sensitivity in a multimode interferometer based on…

Atomic Physics · Physics 2013-03-15 Marco G. Tarallo , Nicola Poli , F. Y. Wang , Guglielmo M. Tino

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…

Quantum Physics · Physics 2019-01-29 J. Boutari , A. Feizpour , S. Barz , C. Di Franco , M. S. Kim , W. S. Kolthammer , I. A. Walmsley

Quantum simulations of Hubbard models with ultracold atoms rely on the exceptional control of coherent motion provided by optical lattices. Here we demonstrate enhanced tunability using an optical superlattice in a fermionic quantum gas…

Nonlinear quantum photonics serves as a cornerstone in photonic quantum technologies, such as universal quantum computing and quantum communications. The emergence of integrated photonics platform not only offers the advantage of…

Quantum Physics · Physics 2024-07-23 Seonghun Kim , Youngbin Kim , Young-Do Yoon , Seongjin Jeon , Woo-Joo Kim , Young-Ik Sohn

We outline a theory of symmetry protected topological phases of one-dimensional quantum walks. We assume spectral gaps around the symmetry-distinguished points +1 and -1, in which only discrete eigenvalues are allowed. The phase…

Quantum Physics · Physics 2016-04-21 C. Cedzich , F. A. Grünbaum , C. Stahl , L. Velázquez , A. H. Werner , R. F. Werner

Topological phases, edge states, and flat bands in synthetic quantum systems are a key resource for topological quantum computing and noise-resilient information processing. We introduce a scheme based on step-dependent quantum walks on…

Quantum Physics · Physics 2026-04-07 Dinesh Kumar Panda , Colin Benjamin

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…

Quantum Physics · Physics 2024-08-20 Tao Chen , Chenxi Huang , Bryce Gadway , Jacob P. Covey

Quantum walk represents one of the most promising resources for the simulation of physical quantum systems, and has also emerged as an alternative to the standard circuit model for quantum computing. Up to now the experimental…

High-dimensional quantum systems can offer extended possibilities and multiple advantages while developing advanced quantum technologies. In this paper, we propose a class of quantum-walk architecture networks that admit the efficient…

Quantum Physics · Physics 2021-08-12 Hengji Li , Jian Li , Xiubo Chen

The lackadaisical quantum walk is a lazy version of a discrete-time, coined quantum walk, where each vertex has a weighted self-loop that permits the walker to stay put. They have been used to speed up spatial search on a variety of graphs,…

Quantum Physics · Physics 2022-01-20 Jacob Rapoza , Thomas G. Wong

Topological matter exhibits exotic properties yet phases characterized by large topological invariants are difficult to implement, despite rapid experimental progress. A promising route toward higher topological invariants is via engineered…

Quantum Physics · Physics 2019-01-02 Lei Xiao , Xingze Qiu , Kunkun Wang , Zhihao Bian , Xiang Zhan , Hideaki Obuse , Barry C. Sanders , Wei Yi , Peng Xue