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We present a study of the effects of decoherence in the operation of a discrete quantum walk on a line, cycle and hypercube. We find high sensitivity to decoherence, increasing with the number of steps in the walk, as the particle is…

量子物理 · 物理学 2009-11-07 Viv Kendon , Ben Tregenna

We offer theoretical explanations for some recent observations in numerical simulations of quantum random walks (QRW). Specifically, in the case of a QRW on the line with one particle (walker) and two entangled coins, we explain the…

量子物理 · 物理学 2009-12-11 Chaobin Liu , Nelson Petulante

Quantum walk (QW), which is considered as the quantum counterpart of the classical random walk (CRW), is actually the quantum extension of CRW from the single-coin interpretation. The sequential unitary evolution engenders correlation…

量子物理 · 物理学 2020-03-11 Jin-Fu Chen , Yu-Han Ma , Chang-Pu Sun

Continuous-time open quantum walks (CTOQW) are introduced as the formulation of quantum dynamical semigroups of trace-preserving and completely positive linear maps (or quantum Markov semigroups) on graphs. We show that a CTOQW always…

量子物理 · 物理学 2017-06-19 Chaobin Liu , Radhakrishnan Balu

Continuous-time quantum walks (CTQWs) provide a valuable model for quantum transport, universal quantum computation and quantum spatial search, among others. Recently, the empowering role of new degrees of freedom in the Hamiltonian…

量子物理 · 物理学 2022-03-23 Massimo Frigerio , Claudia Benedetti , Stefano Olivares , Matteo G. A. Paris

In this paper, we study decoherence in continuous-time quantum walks (CTQWs) on one-dimension regular networks. For this purpose, we assume that every node is represented by a quantum dot continuously monitored by an individual point…

量子物理 · 物理学 2010-10-20 S. Salimi , R. Radgohar

Discrete-time quantum walks (QWs) represent robust and versatile platforms for the controlled engineering of single particle quantum dynamics, and have attracted special attention due to their algorithmic applications in quantum information…

量子物理 · 物理学 2013-05-14 Simon Moulieras , Maciej Lewenstein , Graciana Puentes

The development of large-scale quantum networks promises to bring a multitude of technological applications as well as shed light on foundational topics, such as quantum nonlocality. It is particularly interesting to consider scenarios…

量子物理 · 物理学 2021-11-09 Benjamin D. M. Jones , Ivan Šupić , Roope Uola , Nicolas Brunner , Paul Skrzypczyk

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

量子物理 · 物理学 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

Coherent evolution governs the behaviour of all quantum systems, but in nature it is often subjected to influence of a classical environment. For analysing quantum transport phenomena quantum walks emerge as suitable model systems. In…

We investigate the quantum transport of delocalized states in continuous-time quantum walks (CTQWs) on a one-dimensional lattice containing a single defect. The defect is modeled by assigning complex-valued hopping amplitudes to the edges…

量子物理 · 物理学 2025-11-13 João V. Cordeiro , Eduardo I. Duzzioni , Edgard P. M. Amorim

In this paper, we study mixing and large decoherence in continuous-time quantum walks on one dimensional regular networks, which are constructed by connecting each node to its $2l$ nearest neighbors($l$ on either side). In our…

量子物理 · 物理学 2014-06-24 S. Salimi , R. Radgohar

Decoherence of quantum systems from entanglement with an unmonitored environment is to date the most compelling explanation of the emergence of a classical picture from a quantum world. While it is well understood for a single Lindblad…

量子物理 · 物理学 2020-07-01 Alexandre Feller , Guillaume Coeuret Cauquil , Benjamin Roussel

We present a detailed analysis of continuous time quantum walks (CTQW) with both position and transition defects defined at a single point in the line. Analytical solutions of both traveling waves or bound states are obtained, which provide…

量子物理 · 物理学 2015-09-08 Zhi-Jian Li , J. B. Wang

The behaviors of one-dimensional quantum random walks are strikingly different from those of classical ones. However, when decoherence is involved, the limiting distributions take on many classical features over time. In this paper, we…

量子物理 · 物理学 2009-11-13 Kai Zhang

The Lindblad master equation (LME) describing the Markovian dynamics of the quantum open system can be understood as the evolution of the effective non-Hermitian Hamiltonian balanced with random quantum jumps. Here we investigate the…

量子物理 · 物理学 2025-01-13 Yu-Guo Liu , Shu Chen

Monitored quantum circuits host a rich variety of exotic non-equilibrium phases. Among the most representative examples are measurement-induced phase transitions between distinct area-law entangled states. However, because these transitions…

量子物理 · 物理学 2026-04-07 Hui Yu , Jiangping Hu , Shi-Xin Zhang

Quantum walks in dynamically-disordered networks have become an invaluable tool for understanding the physics of open quantum systems. In this work, we introduce a novel approach to describe the dynamics of indistinguishable particles in…

The impact of coherence on the nonlinear optical response and stationary transport is studied in quantum cascade laser structures. Nonequilibrium effects such as pump-probe signals, the spatio-temporally resolved electron density evolution,…

介观与纳米尺度物理 · 物理学 2009-05-12 C. Weber , A. Wacker , A. Knorr

We investigate the impact of decoherence and static disorder on the dynamics of quantum particles moving in a periodic lattice. Our experiment relies on the photonic implementation of a one-dimensional quantum walk. The pure quantum…

量子物理 · 物理学 2011-11-15 A. Schreiber , K. N. Cassemiro , V. Potoček , A. Gábris , I. Jex , Ch. Silberhorn