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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…

量子物理 · 物理学 2026-04-07 Dinesh Kumar Panda , Colin Benjamin

We show a perfect state transfer of an arbitrary unknown two-qubit state can be achieved via a discrete-time quantum walk with various settings of coin flippings, and extend this method to distribution of an arbitrary unknown multi-qubit…

量子物理 · 物理学 2014-07-23 Xiang Zhan , Hao Qin , Zhi-hao Bian , Jian Li , Peng Xue

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

While completely self-avoiding quantum walks have the distinct property of leading to a trivial unidirectional transport of a quantum state, an interesting and non-trivial dynamics can be constructed by restricting the self-avoidance to a…

量子物理 · 物理学 2015-12-22 Takuya Machida , C. M. Chandrashekar , Norio Konno , Thomas Busch

Continuous-time quantum walk is one of the alternative approaches to quantum computation, where a universal set of quantum gates can be achieved by scattering a quantum walker on some specially-designed structures embedded in a sparse graph…

量子物理 · 物理学 2023-05-11 Fan Wang , Bin Cheng , Zi-Wei Cui , Man-Hong Yung

In this paper, we introduce a quantum walk whose local scattering at each vertex is denoted by a unitary circulant matrix; namely the circulant quantum walk. We also introduce another quantum walk induced by the circulant quantum walk;…

量子物理 · 物理学 2022-08-17 Yusuke Mizutani , Etsuo Segawa , Yusuke Higuchi , Leo Matsuoka , Tomoyuki Horikiri

We propose a quantum-electrodynamics scheme for implementing the discrete-time, coined quantum walk with the walker corresponding to the phase degree of freedom for a quasi-magnon field realized in an ensemble of nitrogen-vacancy centres in…

We provide a theoretical framework for encoding arbitrary logical states of a quantum bit (qubit) into a continuous-variable quantum mode through quantum walks. Starting with a squeezed-vacuum state of the quantum mode, we show that quantum…

量子物理 · 物理学 2020-08-04 Chai-Yu Lin , Wang-Chang Su , Shin-Tza Wu

It was recently shown that continuous-time quantum walks on dynamic graphs, i.e., sequences of static graphs whose edges change at specific times, can implement a universal set of quantum gates. This result treated all isolated vertices as…

量子物理 · 物理学 2019-12-25 Thomas G. Wong

We present a new scheme for a discrete-time quantum walk on two- and three-dimensional lattices using a two-state particle. We use different Pauli basis as translational eigestates for different axis and show that the coin operation, which…

量子物理 · 物理学 2015-03-19 C. M. Chandrashekar

Quantum walk is a key operation in quantum computing, simulation, communication and information. Here, we report for the first time the demonstration of quantum walks and localized quantum walks in a new type of optical fibers having a ring…

For quantum computation using photons, performing deterministic quantum gate operations is a challenge due to the probabilistic nature of the photon-photon interaction. Encoding qubits in multiple degrees-of-freedom of photons and…

量子物理 · 物理学 2025-08-28 Kanad Sengupta , S. P. Dinesh , K. Muhammed Shafi , Soumya Asokan , C. M. Chandrashekar

The quantum walk is the quantum analogue of the well-known random walk, which forms the basis for models and applications in many realms of science. Its properties are markedly different from the classical counterpart and might lead to…

Quantum networks are complex systems formed by the interaction among quantum processors through quantum channels. Analogous to classical computer networks, quantum networks allow for the distribution of quantum operations among quantum…

量子物理 · 物理学 2023-07-14 Matheus Guedes de Andrade , Nitish K. Panigrahy , Wenhan Dai , Saikat Guha , Don Towsley

One-dimensional discrete-time quantum walks show a rich spectrum of topological phases that have so far been exclusively analysed in momentum space. In this work we introduce an alternative approach to topology which is based on the…

介观与纳米尺度物理 · 物理学 2014-04-30 B. Tarasinski , J. K. Asboth , J. P. Dahlhaus

Quantum random walks use interference to obtain faster state space exploration, which can be used for algorithmic purposes. Photonic technologies provide a natural platform for many recent experimental demonstrations. Here we analyze…

量子物理 · 物理学 2022-03-04 Ricardo M. R. Adão , Manuel Caño-García , Jana B. Nieder , Ernesto F. Galvão

Quantum random walks have received much interest due to their non-intuitive dynamics, which may hold the key to a new generation of quantum algorithms. What remains a major challenge is a physical realization that is experimentally viable…

量子物理 · 物理学 2009-12-18 K Manouchehri , J. B. Wang

Quantum Cryptography is a rapidly developing field of research that benefits from the properties of Quantum Mechanics in performing cryptographic tasks. Quantum walks are a powerful model for quantum computation and very promising for…

量子物理 · 物理学 2016-02-04 C. Vlachou , J. Rodrigues , P. Mateus , N. Paunković , A. Souto

Higher-order topological insulators not only exhibit exotic bulk-boundary correspondence principle, but also have an important application in quantum computing. However, they have never been achieved in quantum walk. In this paper, we…

量子物理 · 物理学 2020-07-15 Ya Meng , Gang Chen , Suotang Jia

We set out a general protocol for steering the state of a quantum system from an arbitrary initial state towards a chosen target state by coupling it to auxiliary quantum degrees of freedom. The protocol requires multiple repetitions of an…

统计力学 · 物理学 2020-09-09 Sthitadhi Roy , J. T. Chalker , I. V. Gornyi , Yuval Gefen