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We present a stochastic quantum computing algorithm that can prepare any eigenvector of a quantum Hamiltonian within a selected energy interval $[E-\epsilon, E+\epsilon]$. In order to reduce the spectral weight of all other eigenvectors by…

Quantum Physics · Physics 2021-07-26 Kenneth Choi , Dean Lee , Joey Bonitati , Zhengrong Qian , Jacob Watkins

We introduce a data-informed quantum-classical dynamics (DIQCD) approach for predicting the evolution of an open quantum system. The equation of motion in DIQCD is a Lindblad equation with a flexible, time-dependent Hamiltonian that can be…

Quantum Physics · Physics 2026-02-10 Pinchen Xie , Ke Wang , Anupam Mitra , Yuanran Zhu , Xiantao Li , Wibe Albert de Jong , Chao Yang

In a Hilbert space $H$, in order to develop fast optimization methods, we analyze the asymptotic behavior, as time $t$ tends to infinity, of inertial continuous dynamics where the damping acts as a closed-loop control. The function $f: H…

Optimization and Control · Mathematics 2021-01-12 Hedy Attouch , Radu Ioan Bot , Ernö Robert Csetnek

Here we present a Lindblad master equation that approximates the Redfield equation, a well known master equation derived from first principles, without significantly compromising the range of applicability of the Redfield equation. Instead…

Quantum Physics · Physics 2020-09-23 Dragomir Davidovic

The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency.…

Quantum Physics · Physics 2022-02-15 Wallace S. Teixeira , Fernando L. Semião , Jani Tuorila , Mikko Möttönen

Developing accurate and computationally inexpensive models for the dynamics of open-quantum systems is critical in designing new qubit platforms by first understanding their mechanisms of decoherence and dephasing. Current models based on…

Disordered Systems and Neural Networks · Physics 2021-09-30 Nima Leclerc

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 non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

Quantum Physics · Physics 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We consider finite-dimensional Markovian open quantum systems, and characterize the extent to which time-independent Hamiltonian control may allow to stabilize a target quantum state or subspace and optimize the resulting convergence speed.…

Quantum Physics · Physics 2015-03-17 Francesco Ticozzi , Riccardo Lucchese , Paola Cappellaro , Lorenza Viola

We consider a quantum system with a time-independent Hamiltonian parametrized by a set of unknown parameters $\alpha$. The system is prepared in a general quantum state by an evolution operator that depends on a set of unknown parameters…

Quantum Physics · Physics 2022-08-10 Wucheng Zhang , Ilia Tutunnikov , Ilya Sh. Averbukh , Roman V. Krems

Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using…

We put forth a new class of quantum master equations that correctly reproduce the asymptotic state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of…

Quantum Physics · Physics 2022-11-10 Tobias Becker , Alexander Schnell , Juzar Thingna

We present a relaxation-based method to bound expectation values on the steady state of dissipative many-body quantum systems described by master equations of the Lindblad form. Instead of targeting to represent the entire state, we promote…

Quantum Physics · Physics 2026-02-09 Miguel Frías Pérez , Antonio Acín

We investigate the time evolution of an open quantum system described by a Lindblad master equation with dissipation acting only on a part of the degrees of freedom ${\cal H}_0$ of the system, and targeting a unique dark state in ${\cal…

Quantum Physics · Physics 2018-11-09 Vladislav Popkov , Simon Essink , Carlo Presilla , Gunter Schütz

In this paper, an open quantum system theory for spinfoams is developed. This new formalism aims at deriving an effective Lindblad equation to compute the reduced dynamics of a quantum gravitational field. The system parameters are…

Quantum Physics · Physics 2021-05-26 Quentin Ansel

This paper is concerned with open quantum memory systems for approximately retaining quantum information, such as initial dynamic variables or quantum states to be stored over a bounded time interval. In the Heisenberg picture of quantum…

Quantum Physics · Physics 2025-10-10 Igor G. Vladimirov , Ian R. Petersen , Guodong Shi

In the time-dependent simulation of pure states dealing with transport in open quantum systems, the initial state is located outside of the active region of interest. Using the superposition principle and the analytical knowledge of the…

Quantum Physics · Physics 2014-10-15 Fabio L. Traversa , Zhen Zhan , Xavier Oriols

Fast-forwarding refers to the ability to simulate a system of time $t$ using significantly fewer than $t$ queries or circuit depth. While various Hamiltonian systems are known to circumvent the no fast-forwarding theorem, analogous results…

Quantum Physics · Physics 2026-05-25 Zhong-Xia Shang , Dong An , Changpeng Shao

Recent advances in levitated optomechanics provide new perspectives for the use of rotational degrees of freedom for the development of quantum technologies as well as for testing fundamental physics. As for the translational case, their…

Quantum Physics · Physics 2021-03-30 Matteo Carlesso , Hamid Reza Naeij , Angelo Bassi

Stochastic methods offer an effective way to suppress coherent errors in quantum simulation. In particular, the randomized compilation protocol may reduce circuit depth by randomly sampling Hamiltonian terms rather than following the…

Quantum Physics · Physics 2026-05-15 Yu-Xia Wu , Yun-Zhuo Fan , Dan-Bo Zhang