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Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional…

混沌动力学 · 物理学 2009-11-10 Patrick E. McSharry , Leonard A. Smith

This paper deals with the state estimation problem in discrete-event systems modeled with nondeterministic finite automata, partially observed via a sensor measuring unit whose measurements (reported observations) may be vitiated by a…

信息论 · 计算机科学 2020-11-04 Yuting Li , Christoforos N. Hadjicostis , Naiqi Wu , Zhiwu Li

The problem of distributed dynamic state estimation in wireless sensor networks is studied. Two important properties of local estimates, namely, the consistency and confidence, are emphasized. On one hand, the consistency, which means that…

信息论 · 计算机科学 2016-11-15 Shaocheng Wang , Wei Ren

Optical homodyne detection has found use in a range of quantum technologies as both a characterisation tool and as a way to post-selectively generate non-linearities. So far optical implementations have been limited to bulk optics. Here we…

The paper deals with measures of nonlinearity. In state estimation, they are utilized i) to select a suitable state estimation algorithm by assessing the nonlinearity of a system model, ii) to adapt the estimation algorithm structure or…

系统与控制 · 电气工程与系统科学 2024-12-10 Ondřej Straka , Jindřich Havlík

Quantum information theory sets the ultimate limits for any information-processing task. In rangefinding and LIDAR, the presence or absence of a target can be tested by detecting different states at the receiver. In this Letter, we use…

量子物理 · 物理学 2022-05-02 Lior Cohen , Mark M. Wilde

In this paper, we focus on the following testing problem: assume that we are given observations of a real-valued signal along the grid $0,1,\ldots,N-1$, corrupted by white Gaussian noise. We want to distinguish between two hypotheses: (a)…

统计理论 · 数学 2015-06-02 Anatoli Juditsky , Arkadi Nemirovski

We consider the problem of determining the mixed quantum state of a large but finite number of identically prepared quantum systems from data obtained in a sequence of ideal (von Neumann) measurements, each performed on an individual copy…

量子物理 · 物理学 2009-11-10 Franz Embacher , Heide Narnhofer

This paper considers physical systems described by hidden states and indirectly observed through repeated measurements corrupted by unmodeled nuisance parameters. A network-based representation learns to disentangle the coherent information…

计算物理 · 物理学 2022-02-08 Pawan Bharadwaj , Matthew Li , Laurent Demanet

Coherent errors in a quantum system can, in principle, build up much more rapidly than incoherent errors, accumulating as the square of the number of qubits in the system rather than linearly. I show that only channels dominated by a…

量子物理 · 物理学 2019-07-16 Daniel Gottesman

This paper investigates sensor scheduling for state estimation of complex networks over shared transmission channels. For a complex network of dynamical systems, referred to as nodes, a sensor network is adopted to measure and estimate the…

系统与控制 · 电气工程与系统科学 2023-01-12 Peihu Duan , Lidong He , Lingying Huang , Guanrong Chen , Ling Shi

Quantum communication relies on optical implementations of channels, memories and repeaters. In the absence of perfect devices, a minimum requirement on real-world devices is that they preserve quantum correlations, meaning that they have…

量子物理 · 物理学 2010-12-01 Nathan Killoran , Hauke Häseler , Norbert Lütkenhaus

Coherently displaced harmonic oscillator number states of a harmonically bound ion can be coupled to two internal states of the ion by a laser-induced motional sideband interaction. The internal states can subsequently be read out in a…

We propose a scalable approach to building cluster states of matter qubits using coherent states of light. Recent work on the subject relies on the use of single photonic qubits in the measurement process. These schemes have a low initial…

量子物理 · 物理学 2009-11-13 Sebastien G. R. Louis , Kae Nemoto , W. J. Munro , T. P. Spiller

Accurate phase estimation in the presence of unknown phase diffusive noise is a crucial yet challenging task in noisy quantum metrology. This problem is particularly interesting due to the detrimental impact of the associated noise. Here,…

量子物理 · 物理学 2024-07-12 Jayanth Jayakumar , Monika E. Mycroft , Marco Barbieri , Magdalena Stobińska

We study the dynamics of an optomechanical system consisting of a single-mode optical field coupled to a mechanical oscillator, where the nonlinear interaction includes both linear and quadratic terms in the oscillator's position. We…

量子物理 · 物理学 2026-02-16 Yaqing Xy Wang , Claudio Sanavio , József Zsolt Bernád

By combining multiple copies of noisy coherent states of light (or other bosonic systems), it is possible to obtain a single mode in a state with lesser noise, a process known as distillation or purification of coherent states. We…

量子物理 · 物理学 2025-05-28 Shiv Akshar Yadavalli , Iman Marvian

How systems transit between different stable states under external perturbation is an important practical issue. We discuss here how a recently-developed energy optimization method for identifying the minimal disturbance necessary to reach…

斑图形成与孤子 · 物理学 2018-05-02 Daniel Lecoanet , Rich R. Kerswell

A resilient state estimation scheme for uniformly observable nonlinear systems, based on a method for local identification of sensor attacks, is presented. The estimation problem is combinatorial in nature, and so many methods require…

系统与控制 · 电气工程与系统科学 2023-04-19 Junsoo Kim , Jin Gyu Lee , Henrik Sandberg , Karl H. Johansson

We present a novel experimental technique that can differentiate unequivocally between chaotic light and coherent light with amplitude fluctuations, and thus permits to characterize unambiguously the output of a laser. This technique…