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We propose a procedure to fully reconstruct the time-dependent coefficients of convolutionless non-Markovian dissipative generators via a finite number of experimental measurements. By combining a tomography based approach with a proper…

Quantum Physics · Physics 2011-09-26 Bruno Bellomo , Antonella De Pasquale , Giulia Gualdi , Ugo Marzolino

Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

Non-Markovian quantum state diffusion provides a wavefunction-based framework for modeling open quantum systems. In this work, we introduce a novel machine learning approach based on an operator construction algorithm. This algorithm…

Quantum Physics · Physics 2025-09-03 Jiaji Zhang , Carlos L. Benavides-Riveros , Lipeng Chen

We introduce a new characteristics of chaoticity of classical and quantum dynamical systems by defining the notion of the dissipation time which enables us to test how the system responds to the noise and in particular to measure the speed…

Chaotic Dynamics · Physics 2007-05-23 Lech Wolowski

Characterization of non-Markovian open quantum dynamics is both of theoretical and practical relevance. In a seminal work [Phys. Rev. Lett. 120, 040405 (2018)], a necessary and sufficient quantum Markov condition is proposed, with a clear…

Quantum Physics · Physics 2022-08-24 Chu Guo

I present an approach to calculate the finite-frequency quantum noise in systems strongly coupled to structured reservoirs based on the Markovian embedding. This technique consists of mapping of the non-Markovian dynamics of the original…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Krzysztof Ptaszynski

We introduce a method of characterization of non-Markovianity using coherence of a system interacting with the environment. We show that under the allowed incoherent operations, monotonicity of a valid coherence measure is affected due to…

Quantum Physics · Physics 2016-11-28 Titas Chanda , Samyadeb Bhattacharya

We investigate the lifetime of dynamical regimes under the impact of noise motivated by low-dimensional models of the atmosphere. One may expect that the inclusion of noise tends to make the system leave prescribed regions of the state…

Numerical Analysis · Mathematics 2026-05-01 Henry Schoeller , Robin Chemnitz , Péter Koltai , Maximilian Engel , Stephan Pfahl

Quantum systems are inherently open and susceptible to environmental noise, which can have both detrimental and beneficial effects on their dynamics. This phenomenon has been observed in bio-molecular systems, where noise enables novel…

This paper introduces a novel method for approximating the dynamics of a large autonomous system projected onto a fixed subspace. The core contribution is a novel recursive algorithm to construct an effective time-dependent generator that…

Quantum Physics · Physics 2025-10-24 Tommaso Grigoletto

A rich variety of non-equilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in…

Quantum Physics · Physics 2025-08-26 E. A. Maletskii , I. A. Iakovlev , V. V. Mazurenko

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

The impressive pace of advance of quantum technology calls for robust and scalable techniques for the characterization and validation of quantum hardware. Quantum process tomography, the reconstruction of an unknown quantum channel from…

Non-Markovian noise can be a significant source of errors in superconducting qubits. We develop gate sequences utilising mirrored pseudoidentities that allow us to characterise and model the effects of non-Markovian noise on both idle and…

Quantum Physics · Physics 2023-06-23 Abhishek Agarwal , Lachlan P. Lindoy , Deep Lall , Francois Jamet , Ivan Rungger

Noise sensing underlies many physical applications including tests of non-classicality, thermometry, verification of correlated phases of quantum matter, and characterization of criticality. While previous works have shown that quantum…

Quantum Physics · Physics 2026-03-18 Yu-Xin Wang , Anthony J. Brady , Federico Belliardo , Alexey V. Gorshkov

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…

Quantum Physics · Physics 2025-03-07 Nunzia Cerrato , Giacomo De Palma , Vittorio Giovannetti

We develop dynamical non-Markovian description of quantum computing in weak coupling limit, in lowest order approximation. We show that long range memory of quantum reservoir produces strong interrelation between structure of noise and…

Quantum Physics · Physics 2009-11-07 Robert Alicki , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Flexible characterization techniques that identify and quantify experimental imperfections under realistic assumptions are crucial for the development of quantum computers. Gate set tomography is a characterization approach that…

Quantum Physics · Physics 2023-03-31 Raphael Brieger , Ingo Roth , Martin Kliesch

Fault-tolerant quantum computation techniques rely on weakly correlated noise. Here I show that it is enough to assume weak spatial correlations: time correlations can take any form. In particular, single-shot error correction techniques…

Quantum Physics · Physics 2016-12-23 H. Bombin

Non-Markovian dynamics are characterized by information backflows, where the evolving open quantum system retrieves part of the information previously lost in the environment. Hence, the very definition of non-Markovianity implies an…

Quantum Physics · Physics 2023-09-27 Dario De Santis