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Although the conditions for performing arbitrary unitary operations to simulate the dynamics of a closed quantum system are well understood, the same is not true of the more general class of quantum operations (also known as superoperators)…

Quantum Physics · Physics 2007-05-23 Dave Bacon , Andrew M. Childs , Isaac L. Chuang , Julia Kempe , Debbie W. Leung , Xinlan Zhou

It is by now well understood that quantum dissipative processes can be harnessed and turned into a resource for quantum-information processing tasks. In this paper we demonstrate yet another way in which this is true by providing a…

Quantum Physics · Physics 2016-02-17 Paolo Zanardi , Jeffrey Marshall , Lorenzo Campos Venuti

A quantum algorithm is presented for the simulation of arbitrary Markovian dynamics of a qubit, described by a semigroup of single qubit quantum channels $\{T_t\}$ specified by a generator $\mathcal{L}$. This algorithm requires only…

Quantum Physics · Physics 2017-05-30 R. Sweke , I. Sinayskiy , F. Petruccione

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and…

Quantum Physics · Physics 2015-06-09 R. Di Candia , J. S. Pedernales , A. del Campo , E. Solano , J. Casanova

Understanding the structure and stability of open quantum dynamics is increasingly important for both fundamental studies of nonequilibrium quantum systems and the development of quantum simulation algorithms. In this work, we introduce a…

Quantum Physics · Physics 2026-04-21 Shakib Daryanoosh

One of the first proposals for the use of quantum computers was the simulation of quantum systems. Over the past three decades, great strides have been made in the development of algorithms for simulating closed quantum systems and the more…

Quantum Physics · Physics 2023-10-03 I J David , I Sinayskiy , F Petruccione

To understand typical dynamics of an open quantum system in continuous time, we introduce an ensemble of random Lindblad operators, which generate Markovian completely positive evolution in the space of density matrices. Spectral properties…

We present a Bayesian algorithm to identify generators of open quantum system dynamics, described by a Lindblad master equation, that are compatible with measured experimental data. The algorithm, based on a Markov Chain Monte Carlo…

Quantum Physics · Physics 2025-09-15 Stewart Wallace , Yoann Altmann , Brian D. Gerardot , Erik M. Gauger , Cristian Bonato

We study how generators of Markovian dynamics of a qubit can be simulated using a programmable quantum processor.

Quantum Physics · Physics 2007-05-23 Matyas Koniorczyk , Vladimir Buzek , Peter Adam , Akos Laszlo

We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment. We find several new models with interesting features, such as…

Statistical Mechanics · Physics 2021-06-23 Marius de Leeuw , Chiara Paletta , Balázs Pozsgay

In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The…

Quantum Physics · Physics 2026-03-09 Francesco Ticozzi , Luca Mazzarella , Alain Sarlette

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

We present an efficient quantum algorithm for simulating the dynamics of Markovian open quantum systems. The performance of our algorithm is similar to the previous state-of-the-art quantum algorithm, i.e., it scales linearly in evolution…

Quantum Physics · Physics 2023-07-11 Xiantao Li , Chunhao Wang

We propose a setup of an open quantum system in which the environment can be tuned such that either Markovian or non-Markovian system dynamics can be achieved. The implementation uses ultracold Rydberg atoms, relying on their strong…

Quantum Physics · Physics 2016-06-22 M. Genkin , D. W. Schönleber , S. Wüster , A. Eisfeld

We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes.…

Quantum Physics · Physics 2008-10-03 Heinz-Peter Breuer , Bassano Vacchini

A sequence of controlled collisions between a quantum system and its environment (composed of a set of quantum objects) naturally simulates (with arbitrary precision) any Markovian quantum dynamics of the system under consideration. In this…

Quantum Physics · Physics 2012-08-01 Tomas Rybar , Sergey N. Filippov , Mario Ziman , Vladimir Buzek

World-wide efforts aim at the realization of advanced quantum simulators and processors. However, despite the development of intricate hardware and pulse control systems, it may still not be generally known which effective quantum dynamics,…

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

Quantum devices are subject to natural decay. We propose to study these decay processes as the Markovian evolution of quantum channels, which leads us to dynamical semigroups of superchannels. A superchannel is a linear map that maps…

Quantum Physics · Physics 2022-07-22 Markus Hasenöhrl , Matthias C. Caro
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