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Phase covariant qubit dynamics describes an evolution of a two-level system under simultaneous action of pure dephasing, energy dissipation, and energy gain with time-dependent rates $\gamma_z(t)$, $\gamma_-(t)$, and $\gamma_+(t)$,…

量子物理 · 物理学 2020-04-24 S. N. Filippov , A. N. Glinov , L. Leppäjärvi

Dissipation and decoherence, and the evolution from pure to mixed states in quantum physics are handled through master equations for the density matrix. By embedding elements of this matrix in a higher-dimensional Liouville-Bloch equation,…

量子物理 · 物理学 2009-11-07 A. R. P. Rau , R. A. Wendell

We propose an effective Hamiltonian approach to investigate decoherence of a quantum system in a non-Markovian reservoir, naturally imposing the complete positivity on the reduced dynamics of the system. The formalism is based on the notion…

量子物理 · 物理学 2007-05-23 Jinhyoung Lee , Inbo Kim , Helen McAneney , M. S. Kim , Doyeol Ahn

We consider the decoherence of phase space histories in a class of quantum Brownian motion models, consisting of a particle moving in a potential $V(x)$ in interaction with a heat bath at temperature $T$ and dissipation gamma, in the…

量子物理 · 物理学 2009-10-28 C. Anastopoulos

In this paper, we propose a novel quantum classifier utilizing dissipative engineering. Unlike standard quantum circuit models, the classifier consists of a central spin-qubit model. By subjecting the auxiliary qubits to carefully tailored…

量子物理 · 物理学 2024-09-06 He Wang , Chuanbo Liu , Jin Wang

Non-Hermitian Hamiltonians and Lindblad operators are some of the most important generators of dynamics for describing quantum systems interacting with different kinds of environments. The first type differs from conservative evolution by…

量子物理 · 物理学 2023-11-27 Daniel Finkelstein-Shapiro

Translation-covariant Markovian master equations used in the description of decoherence and dissipation are considered in the general framework of Holevo's results on the characterization of generators of covariant quantum dynamical…

量子物理 · 物理学 2009-03-05 Bassano Vacchini

The exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction schemes, where dissipation is used to drive states back to…

量子物理 · 物理学 2024-12-11 Paul Gondolf , Tim Möbus , Cambyse Rouzé

We compare two approaches to non-Markovian quantum evolution: one based on the concept of divisible maps and the other one based on distinguishability of quantum states. The former concept is fully characterized in terms of local generator…

量子物理 · 物理学 2013-04-30 Dariusz Chruściński , Filip A. Wudarski

The problem of constructing a consistent quantum-classical hybrid dynamics is afforded in the case of a quantum component in a separable Hilbert space and a continuous, finite-dimensional classical component. In the Markovian case, the…

量子物理 · 物理学 2023-11-21 Alberto Barchielli

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…

量子物理 · 物理学 2026-04-21 Shakib Daryanoosh

In this work, we study quantum evolution of an open moving-qubit modulated by a classical driving field. We obtain the density operator of qubit at zero temperature and analyze its quantum evolution dynamics by using quantum speed limit…

量子物理 · 物理学 2023-02-07 Qilin Wang , Jianhe Yang , Rongfang Liu , Hong-Mei Zou , Ali Mortezapour , Dan Long , Jia Wang , Qianqian Ma

We consider a class of open quantum many-body systems that evolves in a Markovian fashion, the dynamical generator being in GKS-Lindblad form. Here, the Hamiltonian contribution is characterized by an all-to-all coupling, and the…

统计力学 · 物理学 2024-02-02 Eliana Fiorelli

Our aim is twofold: First, we rigorously analyse the generators of quantum-dynamical semigroups of thermodynamic processes. We characterise a wide class of GKSL-generators for quantum maps within thermal operations and argue that every…

量子物理 · 物理学 2024-03-12 Frederik vom Ende , Emanuel Malvetti , Gunther Dirr , Thomas Schulte-Herbrüggen

Gaussian quantum Markov semigroups (GQMSs) are of fundamental importance in modelling the evolution of several quantum systems. Moreover, they represent the noncommutative generalization of classical Orsntein-Uhlenbeck semigroups;…

泛函分析 · 数学 2024-12-16 Federico Girotti , Damiano Poletti

Gradient descent is a fundamental algorithm in both theory and practice for continuous optimization. Identifying its quantum counterpart would be appealing to both theoretical and practical quantum applications. A conventional approach to…

量子物理 · 物理学 2023-03-03 Jiaqi Leng , Ethan Hickman , Joseph Li , Xiaodi Wu

We develop an interacting extension of the Double Covariance Model (DCM), a stochastic subquantum framework in which macroscopic quantum dynamics emerge through coarse-graining of correlated microscopic fluctuations. Starting from local…

量子物理 · 物理学 2026-05-29 Andrei Khrennikov

We consider N identical oscillators coupled to a single environment and show that the conditions for the existence of decoherence free subspaces are degeneracy of the oscillator frequencies and separability of the coupling with the…

量子物理 · 物理学 2007-05-23 K. M. Fonseca Romero , S. G. Mokarzel , M. C. Nemes

In this paper, we analyze the evolution of the generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memory kernel to give rise to the legitimate (completely…

量子物理 · 物理学 2017-08-30 Katarzyna Siudzińska , Dariusz Chruściński

We develop a general approach for monitoring and controlling evolution of open quantum systems. In contrast to the master equations describing time evolution of density operators, here, we formulate a dynamical equation for the evolution of…

量子物理 · 物理学 2009-08-09 M. Mohseni , A. T. Rezakhani