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We demonstrate a fast, robust and non-destructive protocol for quantum state estimation based on continuous weak measurement in the presence of a controlled dynamical evolution. Our experiment uses optically probed atomic spins as a…

量子物理 · 物理学 2009-11-13 Greg A. Smith , Andrew Silberfarb , Ivan H. Deutsch , Poul S. Jessen

This dissertation studies spin squeezing, entanglement and decoherence in large ensembles of cold, trapped alkali atoms with hyperfine spin f interacting with optical fields. Restricting the state of each atom to a qutrit embedded in the…

量子物理 · 物理学 2014-10-02 Leigh M. Norris

Dynamical processes can be classified in various ways as deterministic or stochastic, and continuous or discrete time. All these types can be studied by the path-spaces they generate, and stationary measures on that path-space. Such…

动力系统 · 数学 2026-03-19 Suddhasattwa Das

We derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by…

最优化与控制 · 数学 2018-06-07 John Tsinias , Constantinos Kitsos

Predicting the dynamical properties of topological matter is a challenging task, not only in theoretical and experimental settings, but also numerically. This work proposes a variational approach based on a time-dependent correlated Ansatz,…

量子物理 · 物理学 2025-08-05 Linda Mauron , Zakari Denis , Jannes Nys , Giuseppe Carleo

In this paper we study stochastic control problems with delayed information, that is, the control at time $t$ can depend only on the information observed before time $t-H$ for some delay parameter $H$. Such delay occurs frequently in…

概率论 · 数学 2018-08-23 Yuri F. Saporito , Jianfeng Zhang

We study the kick dynamics of periodically driven quantum systems, and provide a timeindependent effective Hamiltonian with the analytical form to reasonably describe the effective dynamics in a long timescale. It is shown that the…

量子物理 · 物理学 2023-04-25 Zhi-Cheng Shi , Zhen Chen , Jian-Hui Wang , Yan Xia , X. X. Yi

We study sequences (both cyclic and randomized) of idempotent completely-positive trace-preserving quantum maps, and show how they asymptotically converge to the intersection of their fixed point sets via alternating projection methods. We…

量子物理 · 物理学 2024-06-24 Francesco Ticozzi , Luca Zuccato , Peter D. Johnson , Lorenza Viola

In the first part of the paper, we consider a discrete-time stochastic control system. We show that, under certain conditions, the set of random occupational measures generated by the state-control trajectories of the system as well as the…

最优化与控制 · 数学 2022-12-21 Lucas Gamertsfelder

We are studying long term sequence prediction (forecasting). We approach this by investigating criteria for choosing a compact useful state representation. The state is supposed to summarize useful information from the history. We want a…

机器学习 · 计算机科学 2012-02-10 Peter Sunehag , Marcus Hutter

This paper reviews quantum spin squeezing, which characterizes the sensitivity of a state with respect to an SU(2) rotation, and is significant for both entanglement detection and high-precision metrology. We first present various…

量子物理 · 物理学 2011-11-29 Jian Ma , Xiaoguang Wang , C. P. Sun , Franco Nori

We consider a system of two spins that are coupled via an isotropic Heisenberg Hamiltonian. For the first time, a two-step method for the preparation of an arbitrary quantum state of two qubits in the form of the Schmidt decomposition is…

量子物理 · 物理学 2015-06-19 A. R. Kuzmak , V. M. Tkachuk

We prove a general existence result in stochastic optimal control in discrete time where controls take values in conditional metric spaces, and depend on the current state and the information of past decisions through the evolution of a…

最优化与控制 · 数学 2018-12-19 Asgar Jamneshan , Michael Kupper , José Miguel Zapata

Stochastic processes are proposed whose master equations coincide with classical wave, telegraph, and Klein-Gordon equations. Similar to predecessors based on the Goldstein-Kac telegraph process, the model describes the motion of particles…

统计力学 · 物理学 2015-05-18 A. V. Plyukhin

Theoretical approaches to binary-state models on complex networks are generally restricted to infinite size systems, where a set of non-linear deterministic equations is assumed to characterize its dynamics and stationary properties. We…

物理与社会 · 物理学 2021-01-04 Antonio F. Peralta , Raul Toral

The dynamics of many open quantum systems are described by stochastic master equations. In the discrete-time case, we recall the structure of the derived quantum filter governing the evolution of the density operator conditioned to the…

最优化与控制 · 数学 2015-03-23 Pierre Six , Philippe Campagne-Ibarcq , Landry Bretheau , Benjamin Huard , Pierre Rouchon

Measurement-based quantum computation offers exponential computational speed-up via simple measurements on a large entangled cluster state. We propose and demonstrate a scalable scheme for the generation of photonic cluster states suitable…

We consider prediction theory for stationary stochastic processes in continuous time. We discuss prediction using the whole (infinite) past, and using only a finite section of the past. The solutions to both these classical problems have…

概率论 · 数学 2021-11-17 N. H. Bingham

We investigate a probe state preparation protocol based on two non-selective generalized quantum measurements to enhance parameter estimation in single-qubit systems. By fine-tuning the measurement strengths, we demonstrate the ability to…

量子物理 · 物理学 2026-05-13 Jonas F. G. Santos , Shanhe Su , Moises Rojas

In this work a collective of interacting stateless automata in a discrete geometric environment is considered as an integral automata-like computational dynamic object. For such distributed on the environment object different approaches to…

形式语言与自动机理论 · 计算机科学 2010-07-15 Oleksiy Kurganskyy , Igor Potapov
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