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We present a method for simulating the dynamics of an open electronic system on a quantum computer. This approach entails mid-circuit measurements and resets to simulate the addition or removal of electrons from the system. Our method…

量子物理 · 物理学 2025-06-19 John P. T. Stenger , Gloria Bazargan , Nicholas T. Bronn , Daniel Gunlycke

The non-Markovianity of an arbitrary open quantum system is analyzed in reference to the multi-time statistics given by its monitoring at discrete times. On the one hand, we exploit the hierarchy of inhomogeneous transfer tensors, which…

量子物理 · 物理学 2022-01-26 Stefano Gherardini , Andrea Smirne , Susana F. Huelga , Filippo Caruso

We solve two long standing problems for stochastic descriptions of open quantum system dynamics. First, we find the classical stochastic processes corresponding to non-Markovian quantum state diffusion and non-Markovian quantum jumps in…

量子物理 · 物理学 2020-10-14 Kimmo Luoma , Walter T. Strunz , Jyrki Piilo

A Markovian model for a quantum automata, i.e. an open quantum dynamical discrete-time system with input and output channels and a feedback, is described. A dynamical theory of quantum discrete-time adaptive measurements and multi-stage…

量子物理 · 物理学 2007-05-23 V. P. Belavkin

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

量子物理 · 物理学 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources.…

量子物理 · 物理学 2026-01-12 Yukai Guo , Xing Gao

Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [B. Vacchini, Phys. Rev. Lett. 117, 230401 (2016)]. These dynamics have been defined in…

量子物理 · 物理学 2018-01-17 Salvatore Lorenzo , Francesco Ciccarello , G. Massimo Palma , Bassano Vacchini

Dynamics of non-Markovian systems is a classic problem yet it attracts an everlasting activity in physics and beyond. A powerful tool for modeling such setups is the Generalized Langevin Equation, however, its analysis typically poses a…

统计力学 · 物理学 2024-10-29 Mateusz Wiśniewski , Jakub Spiechowicz

In the dynamics of open quantum systems, information may propagate in time through either the system or the environment, giving rise to Markovian and non-Markovian temporal correlations, respectively. However, despite their notable…

量子物理 · 物理学 2024-06-04 Guilherme Zambon , Diogo O. Soares-Pinto

Accurate models of the dynamics of quantum circuits are essential for optimizing and advancing quantum devices. Since first-principles models of environmental noise and dissipation in real quantum systems are often unavailable, deriving…

量子物理 · 物理学 2024-12-17 Zakhar Popovych , Kurt Jacobs , Georgios Korpas , Jakub Marecek , Denys I. Bondar

A new approach to the theory and simulation of the non-Markovian dynamics of open quantum systems is presented. It is based on identification of a parameter which is uniformly small on wide time intervals: the occupation of the virtual…

量子物理 · 物理学 2019-07-05 Evgeny A. Polyakov , Alexey N. Rubtsov

The development and use of Monte Carlo algorithms plays a visible role in the study of non-Markovian quantum dynamics due to the provided insight and powerful numerical methods for solving the system dynamics. In the Markovian case, the…

量子物理 · 物理学 2011-10-13 Kimmo Luoma , Kalle-Antti Suominen , Jyrki Piilo

The dynamics of local observables in a quantum many-body system can be formally described in the language of open systems. The problem is that the bath representing the complement of the local subsystem generally does not allow the common…

统计力学 · 物理学 2025-12-10 Michele Coppola , Mari Carmen Bañuls , Zala Lenarčič

It is shown that non-Markovian master equations for an open system which are local in time can be unravelled through a piecewise deterministic quantum jump process in its Hilbert space. We derive a stochastic Schr\"odinger equation that…

量子物理 · 物理学 2009-11-13 Heinz-Peter Breuer , Jyrki Piilo

Quantum metrology is a rapidly developing branch of quantum technologies. While various theories have been established on quantum metrology for Markovian processes, i.e., quantum channel estimation, quantum metrology for non-Markovian…

量子物理 · 物理学 2021-08-04 Anian Altherr , Yuxiang Yang

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with…

量子物理 · 物理学 2018-06-29 Rémy Dubertrand , Alexandre Cesa , John Martin

We port the concept of non-Markovian quantum dynamics to the many-particle realm, by a suitable decomposition of the many-particle Hilbert space. We show how the specific structure of many-particle states determines the observability of…

量子物理 · 物理学 2022-08-22 Jonathan Brugger , Christoph Dittel , Andreas Buchleitner

We consider an anisotropic spin-1/2 XY Heisenberg chain in the presence of a transverse magnetic field. Selecting the nearest neighbor pair spins as an open quantum system, the rest of the chain plays the role of the structured environment.…

统计力学 · 物理学 2019-10-30 Z. Saghafi , S. Mahdavifar , E. Hosseini Lapasar

We combine the dynamics of open quantum systems with interferometry and interference introducing the concept of open system interferometer. By considering a single photon in a Mach-Zehnder interferometer, where the polarization (open…

量子物理 · 物理学 2021-03-31 O. Siltanen , T. Kuusela , J. Piilo

We characterize a class of superclassical non-Markovian open quantum system dynamics that are defined by their lack of measurement invasiveness when the corresponding observable commutates with the pre-measurement state. This diagonal…

量子物理 · 物理学 2025-05-07 Adrian A. Budini
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