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相关论文: Experimental Hamiltonian identification for contro…

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We consider a qubit subject to various independent control mechanisms and present a general strategy to identify both the internal Hamiltonian and the interaction Hamiltonian for each control mechanism, relying only on a single, fixed…

量子物理 · 物理学 2009-11-10 Sonia G. Schirmer , Daniel K. L. Oi , Avinash Kolli , Jared H. Cole

Precision control of a quantum system requires accurate determination of the effective system Hamiltonian. We develop a method for estimating the Hamiltonian parameters for some unknown two-state system and providing uncertainty bounds on…

We consider the task of intrinsic control system identification for quantum devices. The problem of experimental determination of subspace confinement is considered, and simple general strategies for full Hamiltonian identification and…

量子物理 · 物理学 2009-11-13 Sonia Schirmer , Daniel Oi , Simon Devitt

This paper considers Hamiltonian identification for a controllable quantum system with non-degenerate transitions and a known initial state. We assume to have at our disposal a single scalar control input and the population measure of only…

量子物理 · 物理学 2013-04-16 Zaki Leghtas , Gabriel Turinici , Herschel Rabitz , Pierre Rouchon

An observer-based Hamiltonian identification algorithm for quantum systems is proposed. For the 2-level case an exponential convergence result based on averaging arguments and some relevant transformations is provided. The convergence for…

数学物理 · 物理学 2007-05-23 Mazyar Mirrahimi , Pierre Rouchon

We provide a general framework for the identification of open quantum systems. By looking at the input-output behavior, we try to identify the system inside a black box in which some Markovian time-evolution takes place. Due to the…

量子物理 · 物理学 2014-03-19 Daniel Burgarth , Kazuya Yuasa

The aim of quantum system identification is to estimate the ingredients inside a black box, in which some quantum-mechanical unitary process takes place, by just looking at its input-output behavior. Here we establish a basic and general…

量子物理 · 物理学 2012-02-27 Daniel Burgarth , Kazuya Yuasa

Identifying the nature of interactions in a quantum system is essential in understanding any physical phenomena. Acquiring information on the Hamiltonian can be a tough challenge in many-body systems because it generally requires access to…

量子物理 · 物理学 2009-10-09 Daniel Burgarth , Koji Maruyama

Identifying the Hamiltonian of a quantum system from experimental data is considered. General limits on the identifiability of model parameters with limited experimental resources are investigated, and a specific Bayesian estimation…

量子物理 · 物理学 2019-10-15 S. G. Schirmer , F. C. Langbein

We present an empirical strategy to determine the Hamiltonian dynamics of a two-qubit system using only initialization and measurement in a single fixed basis. Signal parameters are estimated from measurement data using Bayesian methods…

量子物理 · 物理学 2009-10-01 S. G. Schirmer , D. K. L. Oi

We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design small control terms that are able to create isolated…

混沌动力学 · 物理学 2007-05-23 Guido Ciraolo , Cristel Chandre , Ricardo Lima , Michel Vittot , Marco Pettini , Philippe Ghendrih

Understanding and controlling engineered quantum systems is key to developing practical quantum technology. However, given the current technological limitations, such as fabrication imperfections and environmental noise, this is not always…

We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly conically connected spectrum. More precisely, we show that if a…

We investigate the problem of determining the Hamiltonian of a locally interacting open-quantum system. To do so, we construct model estimators based on inverting a set of stationary, or dynamical, Heisenberg-Langevin equations of motion…

量子物理 · 物理学 2020-08-19 Eugene F. Dumitrescu , Pavel Lougovski

We present several methods for predicting the dynamics of Hamiltonian systems from discrete observations of their vector field. Each method is either informed or uninformed of the Hamiltonian property. We empirically and comparatively…

机器学习 · 计算机科学 2023-12-18 Zi-Yu Khoo , Delong Zhang , Stéphane Bressan

We provide a novel approach for characterization of quantum Hamiltonian systems via utilizing a single measurement device. Specifically, we demonstrate how external quantum correlations can be used for Hamiltonian identification tasks. We…

量子物理 · 物理学 2008-04-23 M. Mohseni , A. T. Rezakhani , A. Aspuru-Guzik

We study the problem of learning the parameters for the Hamiltonian of a quantum many-body system, given limited access to the system. In this work, we build upon recent approaches to Hamiltonian learning via derivative estimation. We…

量子物理 · 物理学 2024-01-10 Andi Gu , Lukasz Cincio , Patrick J. Coles

This paper proposes a robust control method based on sliding mode design for two-level quantum systems with bounded uncertainties. An eigenstate of the two-level quantum system is identified as a sliding mode. The objective is to design a…

量子物理 · 物理学 2012-04-26 Daoyi Dong , Ian R. Petersen

The control of quantum phenomena is a topic that has carried out many challenging problems. Among others, the Hamiltonian identification, i.e, the inverse problem associated with the unknown features of a quantum system is still an open…

最优化与控制 · 数学 2009-03-11 Yvon Maday , Julien Salomon

The purpose of this paper is to present a universal approach to the study of controllability/observability problems for infinite dimensional systems governed by some stochastic/deterministic partial differential equations. The crucial…

最优化与控制 · 数学 2010-03-31 Xu Zhang
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