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We study the effect of noise on the transport of a quantum state from a closed loop of $n-$sites with one of the sites as a sink. Using a discrete-time quantum walk dynamics, we demonstrate that the transport efficiency can be enhanced with…

Quantum Physics · Physics 2014-05-26 C. M. Chandrashekar , Th. Busch

Reliable state estimation depends on accurately modeled noise covariances, which are difficult to determine in practice. This paper formulates the noise covariance estimation as a bilevel optimization problem that factorizes the joint…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Haoying Li , Yifan Peng , Yuchi Wu , Junfeng Wu

We study the transport properties of the Fano-Anderson model with a Lorentzian-shaped density of states in one of the electronic reservoirs. We explicitly show that the energy dependence of the density of states can cause non-Markovian…

Mesoscale and Nanoscale Physics · Physics 2009-09-17 Philipp Zedler , Gernot Schaller , Gerold Kießlich , Clive Emary , Tobias Brandes

The presence of noise is currently one of the main obstacles to achieving large-scale quantum computation. Strategies to characterise and understand noise processes in quantum hardware are a critical part of mitigating it, especially as the…

Quantum Physics · Physics 2023-12-06 Emilio Onorati , Tamara Kohler , Toby S. Cubitt

Additive noise in Partial Differential equations, in particular those of fluid mechanics, has relatively natural motivations. The aim of this work is showing that suitable multiscale arguments lead rigorously, from a model of fluid with…

Probability · Mathematics 2022-05-12 Franco Flandoli , Umberto Pappalettera

We investigate the amount of noise required to turn a universal quantum gate set into one that can be efficiently modelled classically. This question is useful for providing upper bounds on fault tolerant thresholds, and for understanding…

Quantum Physics · Physics 2007-05-23 S. Virmani , Susana F. Huelga , Martin B. Plenio

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

Statistical Mechanics · Physics 2009-11-07 E. Korutcheva , V. Del Prete

Recently observed Aharonov-Bohm quantum interference of period h/2e in charge density wave rings strongly suggest that correlated density wave electron transport is a cooperative quantum phenomenon. The picture discussed here posits that…

Strongly Correlated Electrons · Physics 2015-05-30 J. H. Miller , A. I. Wijesinghe , Z. Tang , A. M. Guloy

We present a hierarchical quantum master equation (HQME) approach, which allows the numerically exact evaluation of higher-order current cumulants in the framework of full counting statistics for nonequilibrium charge transport in…

Mesoscale and Nanoscale Physics · Physics 2020-02-20 C. Schinabeck , M. Thoss

Reducing the impact of errors and decoherence in near-term quantum computers, such as noisy intermediate-scale quantum (NISQ) devices, is critical for their practical implementation. These factors significantly limit the applicability of…

Quantum Physics · Physics 2023-05-03 Doyeol Ahn , Byeongyong Park

It is shown that the operator sum representation for non-Markovian dynamics and the Lindblad master equation in Markovian limit can be derived from a formal solution to quantum Liouville equation for a qubit system in the presence of…

Quantum Physics · Physics 2009-11-07 Doyeol Ahn , Jinhyoung Lee , S. W. Hwang

Measures characterizing the non-Markovianity degree of the quantum dynamics have several drawbacks when applied to real devices. They depend on the chosen measurement time interval and are highly sensitive to experimental noise and errors.…

We construct a particle-number(n)-resolved master equation (ME) approach under the self-consistent Born approximation (SCBA) for quantum transport through mesoscopic systems. The formulation is essentially non-Markovian and incorporates the…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Yu Liu , Jinshuang Jin , Jun Li , Xin-Qi Li , YiJing Yan

We study a double quantum dot system coherently coupled to an electromagnetic resonator. A current through the dot system can create a population inversion in the dot levels and, within a narrow resonance window, a lasing state in the…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 Pei-Qing Jin , Michael Marthaler , Jared H. Cole , Alexander Shnirman , Gerd Schön

We extend our recently introduced stochastic nonlocal traffic flow model to more general random perturbations, including Markovian noise derived from a discretized Jacobi-type stochastic differential equation. Invoking a deterministic…

Numerical Analysis · Mathematics 2026-03-26 Timo Böhme , Simone Göttlich , Andreas Neuenkirch

In quantum information processing, knowledge of the noise in the system is crucial for high-precision manipulation and tomography of coherent quantum operations. Existing strategies for identifying this noise require the use of additional…

Quantum Physics · Physics 2013-03-14 Re-Bing Wu , Tie-Fu Li , A. G. Kofman , Jing Zhang , Yu-xi Liu , Yu. A. Pashkin , Jaw-Shen Tsai , Franco Nori

Any kind of quantum resource useful in different information processing tasks is vulnerable to several types of environmental noise. Here we study the behaviour of quantum correlations such as entanglement and steering in two-qubit systems…

Quantum Physics · Physics 2021-01-13 Suchetana Goswami , Sibasish Ghosh , A. S. Majumdar

We investigate the problem of estimating the tunneling frequency of a two-level atomic system embedded in a dissipative environment by employing a numerically rigorous hierarchical equations of motion method. The effect of…

Quantum Physics · Physics 2022-04-20 Ze-Zhou Zhang , Wei Wu

A quantum mechanical theory is developed for the statistics of momentum transferred to the lattice by conduction electrons. Results for the electromechanical noise power in the semiclassical diffusive transport regime agree with a recent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , C. W. J. Beenakker

We study the dynamics of the two-point statistics of the Kraichnan ensemble which describes the transport of a passive pollutant by a stochastic turbulent flow characterized by scale invariant structure functions. The fundamental equation…

Statistical Mechanics · Physics 2008-04-25 Andrea Gabrielli , Fabio Cecconi