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相关论文: Non-Markovian continuous-time quantum walks on lat…

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We survey the equations of continuous-time quantum walks on simple one-dimensional lattices, which include the finite and infinite lines and the finite cycle, and compare them with the classical continuous-time Markov chains. The focus of…

其他凝聚态物理 · 物理学 2007-05-23 D. ben-Avraham , E. Bollt , C. Tamon

The reliable transmission of quantum information remains a central challenge in the presence of environmental noise. In particular, maintaining high teleportation fidelity in open quantum systems is hindered by decoherence, which disrupts…

While limitations on quantum computation by Markovian environmental noise are well-understood in generality, their behavior for different quantum circuits and noise realizations can be less universal. Here we consider a canonical quantum…

量子物理 · 物理学 2025-04-15 Sasanka Dowarah , Chuanwei Zhang , Vedika Khemani , Michael H. Kolodrubetz

Logical qubits encoded in quantum error correcting codes can exhibit non-Markovian dynamical evolution, even when the underlying physical noise is Markovian. To understand this emergent non-Markovianity, we define a Markovianity condition…

量子物理 · 物理学 2026-02-23 Jalan A. Ziyad , Robin Blume-Kohout , Kenneth Rudinger

We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of…

量子物理 · 物理学 2014-09-24 N. K. Bernardes , A. R. R. Carvalho , C. H. Monken , M. F. Santos

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…

The classicalization of a decoherent discrete-time quantum walk on a line or an n-cycle can be demonstrated in various ways that do not necessarily provide a geometry-independent description. For example, the position probability…

量子物理 · 物理学 2010-06-25 R. Srikanth , Subhashish Banerjee , C. M. Chandrashekar

We analyze the long time behavior of a discrete time quantum walk subject to decoherence with a strong spatial dependence, acting on one half of the lattice. We show that, except for limiting cases on the decoherence parameter, the quantum…

量子物理 · 物理学 2012-04-02 A. Perez , A. Romanelli

Random walks serve as important tools for studying complex network structures, yet their dynamics in cases where transition probabilities are not static remain under explored and poorly understood. Here we study nonlinear random walks that…

混沌动力学 · 物理学 2022-06-14 Digesh Chitrakar , Per Sebastian Skardal

We consider a quantum particle on a one dimensional lattice subject to weak local measurements and study its stochastic dynamics conditioned on the measurement outcomes. Depending on the measurement strength our analysis of the quantum…

量子物理 · 物理学 2016-06-22 Ralf Blattmann , Klaus Mølmer

First passage time experiments were used to explore the effects of low amplitude noise as a source of accelerated phase space diffusion in two-dimensional Hamiltonian systems, and these effects were then compared with the effects of…

天体物理学 · 物理学 2009-10-31 Ilya V. Pogorelov , Henry E. Kandrup

Physicists are attracted to open-system dynamics, how quantum systems evolve, and how they can protected from unnecessary environmental noise, especially environmental memory effects are not negligible, as with non-Markovian approximations.…

量子物理 · 物理学 2021-06-02 Akbar Islam , An Min Wang , Ahmad Abliz

We analyze the impact of non-Markovian classical noise on single-qubit randomized benchmarking experiments, in a manner that explicitly models the realization of each gate via realistic finite-duration pulses. Our new framework exploits the…

量子物理 · 物理学 2025-02-26 Antoine Brillant , Peter Groszkowski , Alireza Seif , Jens Koch , Aashish Clerk

Noise is possibly the most formidable challenge for quantum technologies. As such, a great deal of effort is dedicated to developing methods for noise reduction. One remarkable achievement in this direction is dynamical decoupling; it…

量子物理 · 物理学 2024-06-28 Graeme D. Berk , Simon Milz , Felix A. Pollock , Kavan Modi

Adopting a statistical approach we study the degradation of entanglement of a quantum system under the action of an ensemble of randomly distributed Markovian noise. This enables us to address scenarios where only limited information is…

量子物理 · 物理学 2025-03-07 Nunzia Cerrato , Giacomo De Palma , Vittorio Giovannetti

We study the influence of a chaotic environment in the evolution of an open quantum system. We show that there is an inverse relation between chaos and non-Markovianity. In particular, we remark on the deep relation of the short time…

量子物理 · 物理学 2012-09-03 I. Garcia-Mata , C. Pineda , D. A. Wisniacki

We study the entanglement dynamics of two non-interacting, spatially separated qubits subject to local environment noises. Based on exactly solvable models for non-Markovian amplitude damping and phase damping noises, we are able to analyze…

量子物理 · 物理学 2012-03-14 Shin-Tza Wu

We consider quantum random walks on congested lattices and contrast them to classical random walks. Congestion is modelled with lattices that contain static defects which reverse the walker's direction. We implement a dephasing process…

量子物理 · 物理学 2016-04-28 Keith R. Motes , Alexei Gilchrist , Peter P. Rohde

Besides the traditional circuit-based model of quantum computation, several quantum algorithms based on a continuous-time Hamiltonian evolution have recently been introduced, including for instance continuous-time quantum walk algorithms as…

量子物理 · 物理学 2007-05-23 Jeremie Roland , Nicolas J. Cerf

The transient dynamics of quantum coherence of Gaussian states are investigated. The state is coupled to an external environment which can be described by a Fano-Anderson type Hamiltonian. Solving the quantum Langevin equation, we obtain…

量子物理 · 物理学 2022-01-20 Md. Manirul Ali , Chandrashekar Radhakrishnan