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As quantum computers become available to the general public, the need has arisen to train a cohort of quantum programmers, many of whom have been developing classical computer programs for most of their careers. While currently available…

Quantum process tomography is a procedure by which the unknown dynamical evolution of an open quantum system can be fully experimentally characterized. We demonstrate explicitly how this procedure can be implemented with a nuclear magnetic…

量子物理 · 物理学 2007-05-23 Andrew M. Childs , Isaac L. Chuang , Debbie W. Leung

The goal of teleportation is to transfer the state of one particle to another particle. In coined quantum walks, conditional shift operators can introduce entanglement between position space and coin space. This entanglement resource can be…

量子物理 · 物理学 2020-03-24 Yagnik Chatterjee , Vipin Devrari , Bikash K. Behera , Prasanta K. Panigrahi

Biomolecular networks, such as protein-protein interactions, gene-gene associations, and cell-cell interactions, offer valuable insights into the complex organization of biological systems. These networks are key to understanding cellular…

量子物理 · 物理学 2025-08-22 Viacheslav Dubovitskii , Aritra Bose , Filippo Utro , Laxmi Parida

Many paradoxes of quantum mechanics come from the fact that a quantum system can possess different features at the same time, such as in wave-particle duality or quantum superposition. In recent delayed-choice experiments, a quantum…

量子物理 · 物理学 2013-10-01 Youn-Chang Jeong , Carlo Di Franco , Hyang-Tag Lim , M. S. Kim , Yoon-Ho Kim

We construct a quantum random walk algorithm, based on the Dirac operator instead of the Laplacian. The algorithm explores multiple evolutionary branches by superposition of states, and does not require the coin toss instruction of…

量子物理 · 物理学 2007-05-23 Apoorva Patel , K. S. Raghunathan , Pranaw Rungta

In our previous works, we have studied quantum random walk search algorithm on hypercube, with traversing coin constructed by using generalized Householder reflection and a phase multiplier. When the same phases are used each iteration, the…

量子物理 · 物理学 2024-04-09 Hristo Tonchev , Petar Danev

Quantum walks are at the heart of modern quantum technologies. They allow to deal with quantum transport phenomena and are an advanced tool for constructing novel quantum algorithms. Quantum walks on graphs are fundamentally different from…

量子物理 · 物理学 2019-12-18 Alexey A. Melnikov , Leonid E. Fedichkin , Alexander Alodjants

Inspired by recent breakthroughs with topological quantum materials, which pave the way to novel, high-efficiency, low-energy magnetoelectric devices and fault-tolerant quantum information processing, inter alia, topological quantum walks…

量子物理 · 物理学 2019-08-08 Jizhou Wu , Wei-Wei Zhang , Barry C. Sanders

Quantum walk is a synonym for multi-path interference and faster spread of a particle in a superposition of position space. We study the effects of a quantum mechanical interaction modeled to mimic quantum mechanical gravitational…

量子物理 · 物理学 2021-06-18 Himanshu Badhani , C. M. Chandrashekar

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

This paper examines a way to simplify the circuit of quantum random walk search algorithm, when the traversing coin is constructed by both generalized Householder reflection and an additional phase multiplier. If an appropriate relation…

量子物理 · 物理学 2022-04-28 Hristo Tonchev , Petar Danev

Quantum versions of random walks on the line and the cycle show a quadratic improvement over classical random walks in their spreading rates and mixing times respectively. Non-unitary quantum walks can provide a useful optimisation of these…

量子物理 · 物理学 2008-03-25 Viv Kendon , Olivier Maloyer

For harnessing the full potential of quantum phenomena, light-matter interfaces and complexly connected quantum networks are required, relying on the joint quantum operation of different physical platforms. In this work, we analyze the…

量子物理 · 物理学 2024-07-18 Christian Di Fidio , Laura Ares , Jan Sperling

Quantum walks and random walks bear similarities and divergences. One of the most remarkable disparities affects the probability of finding the particle at a given location: typically, almost a flat function in the first case and a…

量子物理 · 物理学 2017-06-21 Miquel Montero

Quantum walks on binary trees are used in many quantum algorithms to achieve important speedup over classical algorithms. The formulation of this kind of algorithms as quantum circuit presents the advantage of being easily readable,…

新兴技术 · 计算机科学 2022-10-17 Thomas Mullor , David Vigouroux , Louis Bethune

We introduce the quantum stochastic walk (QSW), which determines the evolution of generalized quantum mechanical walk on a graph that obeys a quantum stochastic equation of motion. Using an axiomatic approach, we specify the rules for all…

量子物理 · 物理学 2011-02-09 César A. Rodríguez-Rosario , James D. Whitfield , Alán Aspuru-Guzik

A quantum computing algorithm for rhythm generation is presented, which aims to expand and explore quantum computing applications in the arts, particularly in music. The algorithm maps quantum random walk trajectories onto a rhythmspace --…

量子物理 · 物理学 2025-10-07 María Aguado-Yáñez , Karl Jansen , Daniel Gómez-Marín , Sergi Jordà

Quantum walks, the quantum analogue of the classical random walk, have been shown to underpin quantum algorithms for fluid dynamics. We propose the quantum half-adder gate method for quantum walks as a good benchmark algorithm, specifically…

量子物理 · 物理学 2026-04-17 Steph Foulds , Viv Kendon

We use discrete-event simulation on a digital computer to study two different models of experimentally realizable quantum walks. The simulation models comply with Einstein locality, are as "realistic" as the one of the simple random walk in…

量子物理 · 物理学 2020-05-08 Madita Willsch , Dennis Willsch , Kristel Michielsen , Hans De Raedt