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Quantum walks in atomic systems, owing to their continuous nature, are especially well-suited for the simulation of many-body physics and can potentially offer an exponential speedup in solving certain black box problems. Photonics offers…

We present a discrete-time, one-dimensional quantum walk based on the entanglement between the momentum of ultracold rubidium atoms (the walk space) and two internal atomic states (the "coin" degree of freedom). Our scheme is highly…

量子物理 · 物理学 2018-09-26 Siamak Dadras , Alexander Gresch , Caspar Groiseau , Sandro Wimberger , Gil S. Summy

We propose a simple phenomenological model to estimate the spatial decoherence time in quantum dots. The dissipative phase space dynamics is described in terms of the density matrix and the corresponding Wigner function, which are derived…

其他凝聚态物理 · 物理学 2010-05-05 Michael Genkin , Erik Waltersson , Eva Lindroth

The quantum walk was originally proposed as a quantum mechanical analogue of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete time quantum walks provide a…

介观与纳米尺度物理 · 物理学 2010-09-30 Takuya Kitagawa , Mark S. Rudner , Erez Berg , Eugene Demler

Open Quantum Walks (OQW) are a type of quantum walk governed by the system's interaction with its environment. We explore the time evolution and the limit behavior of the OQW framework for Quantum Computation and show how we can represent…

量子物理 · 物理学 2025-09-30 Pedro Linck Maciel , Nadja K. Bernardes

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

Measurements on a quantum particle unavoidably affect its state, since the otherwise unitary evolution of the system is interrupted by a non-unitary projection operation. In order to probe measurement-induced effects in the state dynamics…

We address the performance of a coin-biased quantum walk as a generator for non-classical position states of the walker. We exploit a phenomenon of coherent localisation in the position space --- resulting from the choice of small values of…

量子物理 · 物理学 2018-01-09 H. Majury , J. Boutari , E. O'Sullivan , A. Ferraro , M. Paternostro

We investigate the global chirality distribution of the quantum walk on the line when decoherence is introduced either through simultaneous measurements of the chirality and particle position, or as a result of broken links. The first…

量子物理 · 物理学 2015-05-19 Alejandro Romanelli , Guzmán Hernández

Quantum decoherence plays a pivotal role in the dynamical description of the quantum-to-classical transition and is the main impediment to the realization of devices for quantum information processing. This paper gives an overview of the…

量子物理 · 物理学 2019-11-15 Maximilian Schlosshauer

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…

量子物理 · 物理学 2026-01-30 E. Stefanutti , J. Philipps , J. Buetow , A. Guidara , M. Nuvoli , A. Chiuri , L. Sansoni

We review the Weyl-Wigner formulation of quantum mechanics in phase space. We discuss the concept of Narcowich-Wigner spectrum and use it to state necessary and sufficient conditions for a phase space function to be a Wigner distribution.…

高能物理 - 理论 · 物理学 2009-11-11 Nuno Costa Dias , Joao Nuno Prata

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

We realize quasi-periodic dynamics of a quantum walker over 2.5 quasi-periods by realizing the walker as a single photon passing through a quantum-walk optical-interferometer network. We introduce fully controllable polarization-independent…

量子物理 · 物理学 2014-05-14 Peng Xue , Hao Qin , Bao Tang , Barry C. Sanders

A general semiclassical approach to quantum systems with system-bath interactions is developed. We study system decoherence in detail using a coherent state semiclassical wavepacket method which avoids singularity issues arising in the…

量子物理 · 物理学 2009-11-07 Gregory A. Fiete , Eric J. Heller

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

量子物理 · 物理学 2009-11-13 K. Manouchehri , J. B. Wang

In this work we introduce discrete-time quantum walks in state space, more precisely on Fock-state lattices. Fock-state lattices provide a natural and clean setting for implementing lattice models, particularly in quantum optical systems.…

量子物理 · 物理学 2026-04-13 Piergiorgio Ferraro , Caio B. Naves , Jonas Larson

Non-classical states are of practical interest in quantum computing and quantum metrology. These states can be detected through their Wigner function negativity in some regions. In this paper, we calculate the ground state of the…

量子物理 · 物理学 2021-02-03 Ramón López-Peña , Sergio Cordero , Eduardo Nahmad-Achar , Octavio Castaños

We show that the coined quantum walk on a line can be understood as an interference phenomenon, can be classically implemented, and indeed already has been. The walk is essentially two independent walks associated with the different coin…

量子物理 · 物理学 2009-11-10 Peter L. Knight , Eugenio Roldan , J. E. Sipe

The theory of decoherence attempts to explain the emergent classical behaviour of a quantum system interacting with its quantum environment. In order to formalize this mechanism we introduce the idea that the information preserved in an…

量子物理 · 物理学 2008-02-06 Cédric Bény