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A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. Searching in this mathematical framework has interested the community since a long time. However, most results consider spatial search…

量子物理 · 物理学 2023-12-27 Mathieu Roget , Giuseppe Di Molfetta

Quantum walks can be used either as tools for quantum algorithm development or as entanglement generators, potentially useful to test quantum hardware. We present a novel algorithm based on a discrete Hadamard quantum walk on a line with…

量子物理 · 物理学 2009-01-27 Salvador E. Venegas-Andraca , Sougato Bose

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 computation among quantum…

量子物理 · 物理学 2021-11-08 Matheus Guedes de Andrade , Wenhan Dai , Saikat Guha , Don Towsley

Quantum hashing is a useful technique that allows us to construct memory-efficient algorithms and secure quantum protocols. First, we present a circuit that implements the phase form of quantum hashing using $2^{n-1}$ CNOT gates, where n is…

量子物理 · 物理学 2025-07-10 Ilnar Zinnatullin , Kamil Khadiev

Quantum walks with one-dimensional translational symmetry are important for quantum algorithms, where the speed-up of the diffusion speed can be reached if long-range couplings are added. Our work studies a scheme of a ring under the strong…

量子物理 · 物理学 2026-02-17 Yixiang Zhang , Xin Qiao , Luojia Wang , Yanyan He , Zhaohui Dong , Xianfeng Chen , Luqi Yuan

Continuous-time quantum walks offer provable speedups for certain computational problems, yet translating these advantages to near-term hardware remains challenging. We present the first experimental demonstration of variational ans\"atze…

量子物理 · 物理学 2026-02-13 Edric Matwiejew , Jonathan Wurtz , Jing Chen , Pascal Jahan Elahi , Tommaso Macri , Ugo Varetto

We address the quantum search of a target node on a cycle graph by means of a quantum walk assisted by continuous measurement and feedback. Unlike previous spatial search approaches, where the oracle is described as a projector on the…

量子物理 · 物理学 2022-11-11 Alessandro Candeloro , Claudia Benedetti , Marco G. Genoni , Matteo G. A. Paris

The quantum walk is a dynamical protocol which describes the motion of spinful particles on a lattice. Also, it has been demonstrated to be a powerful platform to explore topological quantum matter. Recently, the quantum walk in coherent…

量子物理 · 物理学 2018-09-19 Zi-Yong Ge , Heng Fan

This tutorial article showcases the many varieties and uses of quantum walks. Discrete time quantum walks are introduced as counterparts of classical random walks. The emphasis is on the connections and differences between the two types of…

量子物理 · 物理学 2013-05-16 Daniel Reitzner , Daniel Nagaj , Vladimir Buzek

It is demonstrated that in gate-based quantum computing architectures quantum walk is a natural mathematical description of quantum gates. It originates from field-matter interaction driving the system, but is not attached to specific qubit…

量子物理 · 物理学 2020-05-08 Dmitry Solenov

Quantum walks are referred to as quantum analogs to random walks in mathematics. They have been studied as quantum algorithms in quantum information for quantum computers. There are two types of quantum walks. One is the discrete-time…

量子物理 · 物理学 2024-06-26 Takuya Machida

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…

Non-local higher-energy auxiliary states have been successfully used to entangle pairs of qubits in different quantum computing systems. Typically a longer-span non-local state or sequential application of few-qubit entangling gates are…

量子物理 · 物理学 2017-05-02 Dmitry Solenov

We report on the possibility of controlling quantum random walks with a step-dependent coin. The coin is characterized by a (single) rotation angle. Considering different rotation angles, one can find diverse probability distributions for…

量子物理 · 物理学 2018-08-23 S. Panahiyan , S. Fritzsche

This work proposes a computational procedure that uses a quantum walk in a complete graph to train classical artificial neural networks. The idea is to apply the quantum walk to search the weight set values. However, it is necessary to…

量子物理 · 物理学 2021-09-09 Luciano S. de Souza , Jonathan H. A. de Carvalho , Tiago A. E. Ferreira

Hash functions are cryptographic tools, which are notably involved in integrity checking and password storage. They are of primary importance to improve the security of exchanges through the Internet. However, as security flaws have been…

密码学与安全 · 计算机科学 2016-08-23 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux

Quantum random walks are shown to have non-intuitive dynamics, which makes them an attractive area of study for devising quantum algorithms for well-known classical problems as well as those arising in the field of quantum computing. In…

量子物理 · 物理学 2007-12-11 K. Manouchehri , J. B. Wang

Blockchain is a distributed database which is cryptographically protected against malicious modifications. While promising for a wide range of applications, current blockchain platforms rely on digital signatures, which are vulnerable to…

Classical random walk formalism shows a significant role across a wide range of applications. As its quantum counterpart, the quantum walk is proposed as an important theoretical model for quantum computing. By exploiting the quantum…

量子物理 · 物理学 2025-03-18 Xiaogang Qiang , Shixin Ma , Haijing Song

Quantum walks have been shown to be fruitful tools in analysing the dynamic properties of quantum systems. This article proposes to use quantum walks as an approach to Quantum Neural Networks (QNNs). QNNs replace binary McCulloch-Pitts…

量子物理 · 物理学 2014-04-02 Maria Schuld , Ilya Sinayskiy , Francesco Petruccione