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Accurately characterizing the properties of structured reservoirs is a key challenge in quantum systems and is of great importance for advances in quantum metrology and sensing. In this work, we employ a two-level system (qubit) as a probe,…

Non-Markovian dynamics of two interacting two-level qubits coupled to a bosonic bath was previously studied using the quantum-state-diffusion (QSD) equation, where a stochastic state is used to describe the system. In this study, we provide…

Quantum Physics · Physics 2015-07-29 Tai-Yin Chiu

Quantum simulation is a powerful tool to study the properties of quantum systems. The dynamics of open quantum systems are often described by Completely Positive (CP) maps, for which several quantum simulation schemes exist. We present a…

Quantum Physics · Physics 2023-12-22 Mirko Rossini , Dominik Maile , Joachim Ankerhold , Brecht I. C Donvil

We compare approaches to evaluation of decoherence at low temperatures in two-state quantum systems weakly coupled to the environment. By analyzing an exactly solvable model, we demonstrate that a non-Markovian approximation scheme yields…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Vladimir Privman

We demonstrate that the control protocols of quantum information devices can be simulated by assuming a low-rank ansatz for the density matrix. The rationale underlying this assumption is that quantum information protocols, by design,…

Quantum Physics · Physics 2026-01-27 Leo Goutte , Vincenzo Savona

We present a new method for evaluating the response of a moving qubit detector interacting with a scalar field in Minkowski spacetime. We treat the detector as an open quantum system, but we do not invoke the Markov approximation. The…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Dimitris Moustos , Charis Anastopoulos

Open quantum system interacting with structured environment is important and manifests non- Markovian behavior, which was conventionally studied using quantum trajectory stochastic method. In this paper, by dividing the effects of the…

Quantum Physics · Physics 2011-01-25 Chengjun Wu , Yang Li , Mingyi Zhu , Hong Guo

Understanding the behaviour of a quantum system coupled to its environment is of fundamental interest in the general field of quantum technologies. It also has important repercussions on foundational problems in physics, such as the process…

Quantum Physics · Physics 2021-11-01 Sapphire Lally , Nicholas Werren , Jim Al-Khalili , Andrea Rocco

We present a detailed analysis of slowly driven quantum thermal machines based on interacting qubits within the framework of the Lindblad master equation. By implementing a systematic expansion in the driving rate, we derive explicit…

Quantum Physics · Physics 2026-05-27 Gerónimo J. Caselli , Luis O. Manuel , Liliana Arrachea

Digital quantum simulation on quantum systems require algorithms that can be implemented using finite quantum resources. Recent studies have demonstrated digital quantum simulation of open quantum systems on Noisy Intermediate-Scale Quantum…

Quantum Physics · Physics 2020-12-15 Pragati Gupta , C. M. Chandrashekar

We analyze precision bounds for a local phase estimation in the presence of general, non-Markovian phase noise. We demonstrate that the metrological equivalence of product and maximally entangled states that holds under strictly Markovian…

Quantum Physics · Physics 2015-05-27 Alex W. Chin , Susana F. Huelga , Martin B. Plenio

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…

Quantum Physics · Physics 2026-02-23 Jalan A. Ziyad , Robin Blume-Kohout , Kenneth Rudinger

We present an efficient algorithm for simulating open quantum systems dynamics described by the Lindblad master equation on quantum computers, addressing key challenges in the field. In contrast to existing approaches, our method achieves…

Quantum Physics · Physics 2024-12-31 Giovanni Di Bartolomeo , Michele Vischi , Tommaso Feri , Angelo Bassi , Sandro Donadi

An exact canonical master equation of the Lindblad form is derived for a central spin interacting uniformly with a sea of completely unpolarized spins. The Kraus operators for the dynamical map are also derived. The non-Markovianity of the…

Quantum Physics · Physics 2017-01-24 Samyadeb Bhattacharya , Avijit Misra , Chiranjib Mukhopadhyay , Arun Kumar Pati

A simple 4th order propagator [Ture and Jang, {\it J. Phys. Chem. A.} {\bf 128}, 2871 (2024)] based on the Magnus expansion (ME) is extended to the Liouville space for both closed-system and Lindbladian open-system quantum dynamics. For…

Quantum Physics · Physics 2026-02-03 Taner M. Ture , Changbong Hyeon , Seogjoo J. Jang

We investigate the resilience of silicon-based spin qubits against non-Markovian noise within the framework of quantum error correction. We consider a realistic non-Markovian noise model that affects both the Larmor frequency and exchange…

Quantum Physics · Physics 2025-07-14 Oscar Gravier , Thomas Ayral , Benoît Vermersch , Tristan Meunier , Valentin Savin

In this work, we developed a rigorous procedure for mapping the exact non-Markovian propagator to the generalized Lindblad form. It allows us to extract the negative decay rate that is the indicator of the non-Markovian effect. As a…

Quantum Physics · Physics 2024-12-03 Mariia Ivanchenkoa , Peter L. Walters , Fei Wang

The speed and fidelity of dispersive readout of superconducting qubits should improve by increasing the amplitude of the measurement drive. Experiments show, however, that beyond some drive amplitude there is always a saturation or drop in…

Manifestly Markovian closures for the interaction of two-dimensional inhomogeneous turbulent flows with Rossby waves and topography are formulated and compared with large ensembles of direct numerical simulations (DNS) on a generalized beta…

Fluid Dynamics · Physics 2018-11-14 Jorgen S. Frederiksen , Terence J. O Kane

A numerical method of calculating the non-Markovian evolution of a driven atom radiating into a structured continuum is developed. The formal solution for the atomic reduced density matrix is written as a Markovian algorithm by introducing…

Quantum Physics · Physics 2009-11-06 M. W. Jack , J. J. Hope
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