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The reduced dynamics of an open quantum system obtained from an underlying microscopic Hamiltonian can in general only approximately be described by a time local master equation. The quality of that approximation depends primarily on the…

Quantum Physics · Physics 2020-01-15 Richard Hartmann , Walter T. Strunz

A critical engineering challenge in quantum technology is the accurate control of quantum dynamics. Model-based methods for optimal control have been shown to be highly effective when theory and experiment closely match. Consequently,…

Quantum Physics · Physics 2022-10-19 Andy J. Goldschmidt , Jonathan L. DuBois , Steven L. Brunton , J. Nathan Kutz

In this manuscript we present a pedagogical introduction to continuously monitored quantum systems. We start by giving a simplified derivation of the Markovian master equation in Lindblad form, in the spirit of collision models and…

Quantum Physics · Physics 2023-12-21 Francesco Albarelli , Marco G. Genoni

We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive the master…

Quantum Physics · Physics 2018-12-07 Shakib Daryanoosh , Ben Q. Baragiola , Thomas Guff , Alexei Gilchrist

This paper presents a comprehensive review of the wave-function approach for derivation of the number-resolved Master equations, used for description of transport and measurement in mesoscopic systems. The review contains important…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 Shmuel Gurvitz

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

Statistical Mechanics · Physics 2009-11-10 M. Esposito , P. Gaspard

Characterizing nonequilibrium dynamics in quantum many-body systems is a challenging frontier of physics. In this Letter, we systematically construct solvable nonintegrable quantum circuits that exhibit exact hidden Markovian subsystem…

Quantum Physics · Physics 2024-11-22 He-Ran Wang , Xiao-Yang Yang , Zhong Wang

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation…

Quantum Physics · Physics 2009-11-10 Rui-Xue Xu , Ping Cui , Xin-Qi Li , Yan Mo , YiJing Yan

Quantum metrology has been studied for a wide range of systems with time-independent Hamiltonians. For systems with time-dependent Hamiltonians, however, due to the complexity of dynamics, little has been known about quantum metrology. Here…

Quantum Physics · Physics 2017-03-10 Shengshi Pang , Andrew N. Jordan

Graphical Models have various applications in science and engineering which include physics, bioinformatics, telecommunication and etc. Usage of graphical models needs complex computations in order to evaluation of marginal functions,so…

Artificial Intelligence · Computer Science 2014-09-23 Farzad Ghafari Jouneghani , Mohammad Babazadeh , Rogayeh Bayramzadeh , Hossein Movla

The purpose of this paper is to set out the problems of modeling quantum communication and signal processing where the communication between systems via a non-Markovian channel. This is a general feature of quantum transmission lines. Our…

Quantum Physics · Physics 2017-01-05 John Gough

The transverse Ising Model (TIM) in one dimension is the simplest model which exhibits a quantum phase transition (QPT). Quantities related to quantum information theoretic measures like entanglement, quantum discord (QD) and fidelity are…

Quantum Physics · Physics 2015-05-28 Amit Kumar Pal , Indrani Bose

We study qubit-mediated energy transfer between two electron reservoirs by adopting a numerically-exact influence functional path-integral method. This non-perturbative technique allows us to study the system's dynamics beyond the weak…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 D. Segal

High fidelity models, which support accurate device characterization and correctly account for environmental effects, are crucial to the engineering of scalable quantum technologies. As it ensures positivity of the density matrix, one…

Quantum Physics · Physics 2017-11-01 S. N. A. Duffus , V. M. Dwyer , M. J. Everitt

Controlling quantum systems under correlated non-Markovian noise, particularly when strongly coupled, poses significant challenges in the development of quantum technologies. Traditional quantum control strategies, heavily reliant on…

Quantum Physics · Physics 2024-05-01 Arinta Auza , Akram Youssry , Gerardo Paz-Silva , Alberto Peruzzo

A concise and self-contained derivation of hybrid quantum-classical dynamics is given in terms of Markovian master equations. Many previously known results are re-derived, revised, some of them completed or corrected. Using as simple method…

Quantum Physics · Physics 2024-10-23 Lajos Diósi

We study a class of multipartite open quantum dynamics for systems of arbitrary number of qubits. The non-Markovian quantum master equation can involve arbitrary single or multipartite and time-dependent dissipative coupling mechanisms,…

Quantum Physics · Physics 2021-09-09 Adrián A. Budini , Juan P. Garrahan

The quantum fluctuation-dissipation theorem is a central ingredient in the construction of quantum dynamics of Brownian motion which necessarily is non-Markovian. Yet, often Markovian approximations to quantum dynamics are studied in the…

Statistical Mechanics · Physics 2026-01-06 Michele Coppola , Zoubair Daouma , Malte Henkel

A Markovian model for a quantum automata, i.e. an open quantum dynamical discrete-time system with input and output channels and a feedback, is described. A dynamical theory of quantum discrete-time adaptive measurements and multi-stage…

Quantum Physics · Physics 2007-05-23 V. P. Belavkin

Markovian master equations are a ubiquitous tool in the study of open quantum systems, but deriving them from first principles involves a series of compromises. On the one hand, the Redfield equation is valid for fast environments (whose…

Quantum Physics · Physics 2020-02-12 Evgeny Mozgunov , Daniel Lidar
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