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We introduce Lindblad-like quantum tomography (L$\ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. This approach enables the estimation of time-local master equations, including…

量子物理 · 物理学 2025-06-17 Santiago Varona , Markus Müller , Alejandro Bermudez

We microscopically model the decoherence dynamics of entangled coherent states under the influence of vacuum fluctuation. We derive an exact master equation with time-dependent coefficients reflecting the memory effect of the environment,…

量子物理 · 物理学 2009-06-02 Jun-Hong An , Mang Feng , Wei-Min Zhang

Markovian open quantum systems are governed by the Lindblad master equation where the dissipation contains two parts, i.e., the anti-Hermitian operator and the quantum jumps, which share a common dissipation rate. We generalize the Lindblad…

量子物理 · 物理学 2025-03-11 Xu-Ke Gu , Li-Zhou Tan , Franco Nori , J. Q. You

We develop a self-consistent version of perturbation theory in Liouville space which seeks to combine the advantages of master equation approaches in quantum transport with the nonperturbative features that a self-consistent treatment…

介观与纳米尺度物理 · 物理学 2010-12-20 Clive Emary

A central problem in the theory of the dynamics of open quantum systems is the derivation of a rigorous and computationally tractable master equation for the reduced system density matrix. Most generally, the evolution of an open quantum…

凝聚态物理 · 物理学 2016-08-31 Daniel A. Lidar , Zsolt Bihary , K. Birgitta Whaley

Simulating the dynamics and the non-equilibrium steady state of an open quantum system are hard computational tasks on conventional computers. For the simulation of the time evolution, several efficient quantum algorithms have recently been…

量子物理 · 物理学 2021-02-24 Nathan Ramusat , Vincenzo Savona

A large class of non-Markovian quantum processes in open systems can be formulated through time-local master equations which are not in Lindblad form. It is shown that such processes can be embedded in a Markovian dynamics which involves a…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the…

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian…

We introduce a scheme for the quantum simulation of many-body decoherence based on the unitary evolution of a stochastic Hamiltonian. Modulating the strength of the interactions with stochastic processes, we show that the noise-averaged…

量子物理 · 物理学 2017-04-07 Aurélia Chenu , Mathieu Beau , Jianshu Cao , Adolfo del Campo

Starting from a new principle inspired by quantum tomography rather than from Born's rule, this paper gives a self-contained deductive approach to quantum mechanics and quantum measurement. A suggestive notion for what constitutes a quantum…

量子物理 · 物理学 2024-05-22 Arnold Neumaier

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…

量子物理 · 物理学 2023-05-03 Doyeol Ahn , Byeongyong Park

Quantum systems interacting with an unknown environment are notoriously difficult to model, especially in presence of non-Markovian and non-perturbative effects. Here we introduce a neural network based approach, which has the mathematical…

量子物理 · 物理学 2019-01-16 Leonardo Banchi , Edward Grant , Andrea Rocchetto , Simone Severini

We introduce a variational hybrid classical-quantum algorithm to simulate the Lindblad master equation and its adjoint for time-evolving Markovian open quantum systems and quantum observables. Our method is based on a direct representation…

量子物理 · 物理学 2023-05-19 Tasneem Watad , Netanel H. Lindner

We derive an exact equation of motion for the reduced density matrices of individual subsystems of quantum many-body systems of any lattice dimension and arbitrary system size. Our projection operator based theory yields a highly efficient…

量子物理 · 物理学 2014-06-13 Peter Degenfeld-Schonburg , Michael J. Hartmann

We propose the generalized stochastic Liouville equation to investigate the coherent dynamics in single molecule systems coupled to environments which exhibit both nonstationary and non-Markovian features. The generalized stochastic…

量子物理 · 物理学 2020-04-14 Xiangji Cai , Yujun Zheng

Efficient methods for the description of the non-Markovian dynamics of open systems play an important role in many proposed applications of quantum mechanics. Here we review some of the most important tools that are based on the projection…

量子物理 · 物理学 2007-07-03 Heinz-Peter Breuer

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…

量子物理 · 物理学 2009-11-07 Robert Alicki , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility?…

量子物理 · 物理学 2019-02-20 Wei-Min Zhang

We consider finite-dimensional many-body quantum systems described by time-independent Hamiltonians and Markovian master equations, and present a systematic method for constructing smaller-dimensional, reduced models that exactly reproduce…

量子物理 · 物理学 2025-07-30 Tommaso Grigoletto , Yukuan Tao , Francesco Ticozzi , Lorenza Viola