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Objective: Sleep spindles contain crucial brain dynamics information. We introduce the novel non-linear time-frequency analysis tool 'Concentration of Frequency and Time' (ConceFT) to create an interpretable automated algorithm for sleep…

Neurons and Cognition · Quantitative Biology 2023-10-31 Riki Shimizu , Hau-Tieng Wu

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

Compressive sensing (CS) allows for acquisition of sparse signals at sampling rates significantly lower than the Nyquist rate required for bandlimited signals. Recovery guarantees for CS are generally derived based on the assumption that…

Information Theory · Computer Science 2014-10-22 Adam C. Polak , Marco F. Duarte , Dennis L. Goeckel

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

Information Theory · Computer Science 2009-06-08 Graeme Pope

Here we analyze ways to achieve deep subthreshold parametric squeezing or cooling of a single degree-of-freedom parametric resonator enhanced by a lock-in amplifier feedback loop. Due to the feedback, the dynamics of the parametric…

Quantum Physics · Physics 2026-05-01 Adriano A. Batista , Raoni S. N. Moreira , A. A. Lisboa de Souza

A major challenge in quantum metrology is the generation of entangled states with macroscopic atom number. Here, we demonstrate experimentally that atomic squeezing generated via non-linear dynamics in Bose Einstein condensates, combined…

Quantum Physics · Physics 2015-06-19 W. Muessel , H. Strobel , D. Linnemann , D. B. Hume , M. K. Oberthaler

We demonstrate a method to extend the range of pulsed laser spin noise measurements to long spin lifetimes. We use an analog time-domain detection scheme with a bandwidth limited only by laser pulse duration. Our model uses statistics and…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 Brennan C. Pursley , Xinlin Song , Vanessa Sih

Atomic comagnetometers, which measure the spin precession frequencies of overlapped species simultaneously, are widely applied to search for exotic spin-dependent interactions. Here we propose and implement an all-optical single-species Cs…

Atomic Physics · Physics 2021-03-17 Yucheng Yang , Teng Wu , Jingbiao Chen , Xiang Peng , Hong Guo

We present a technique to measure the amplitude of a center-of-mass (COM) motion of a two-dimensional ion crystal of $\sim$100 ions. By sensing motion at frequencies far from the COM resonance frequency, we experimentally determine the…

Quantum Physics · Physics 2017-07-03 K. A. Gilmore , J. G. Bohnet , B. C. Sawyer , J. W. Britton , J. J. Bollinger

Compressed sensing has shown great potential in reducing data acquisition time in magnetic resonance imaging (MRI). Recently, a spread spectrum compressed sensing MRI method modulates an image with a quadratic phase. It performs better than…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Xiaobo Qu , Ying Chen , Xiaoxing Zhuang , Zhiyu Yan , Di Guo , Zhong Chen

Achieving high-frequency spectral resolution with quantum sensors, while crucial in fields ranging from physical to biological sciences, is challenging due to their finite coherence time. Here, we introduce a novel protocol that achieves…

Quantum Physics · Physics 2025-04-17 Jungbae Yoon , Keyuan Zhong , Guoqing Wang , Boning Li , Donghun Lee , Paola Cappellaro

Enabling low power wireless devices to adopt Nyquist sampling at high carriers is prohibitive. In spectrum sensing, this limit calls for an analog front-end that can sweep different bands quickly, in order to use the available spectrum…

Information Theory · Computer Science 2017-12-15 Lorenzo Ferrari , Anna Scaglione

Quantum entanglement can provide enhanced precision beyond standard quantum limit (SQL), the highest precision achievable with classical means. It remains challenging, however, to observe large enhancement limited by the experimental…

Quantum Gases · Physics 2022-12-20 Tian-Wei Mao , Qi Liu , Xin-Wei Li , Jia-Hao Cao , Feng Chen , Wen-Xin Xu , Meng Khoon Tey , Yi-Xiao Huang , Li You

We show that the nonlinear stochastic dynamics of a measurement-feedback-based coherent Ising machine (MFB-CIM) in the presence of quantum noise can be exploited to sample degenerate ground and low-energy spin configurations of the Ising…

In this work, we analyze modulated sampling schemes, such as the Nyquist Folding Receiver, which are highly efficient, readily implementable, non-uniform sampling schemes that allows for the blind estimation of a narrow-band signal's…

Information Theory · Computer Science 2012-08-01 Ray Maleh , Gerald L. Fudge

Significant efforts have been made to enhance the performance of displacement sensors limited by quantum noise, such as gravitational wave detectors. Techniques like frequency-dependent squeezing have overcome the standard quantum limit in…

Quantum Physics · Physics 2024-10-23 Haodong Xu , Zijun Shu , Nianqin Li , Yang Shen , Bo Ji , Yongjun Yang , Tengfei Wu , Mingliang Long , Guangqiang He

Realizing useful quantum operations with high fidelity is a two-task quantum control problem wherein decoherence is to be suppressed and desired unitary evolution is to be executed. The dynamical decoupling (DD) approach to decoherence…

Quantum Physics · Physics 2012-07-17 Adam Zaman Chaudhry , Jiangbin Gong

Quantum bit or qubit is a two-level system, which builds the foundation for quantum computation, simulation, communication and sensing. Quantum states of higher dimension, i.e., qutrits (D = 3) and especially qudits (D = 4 or higher), offer…

We consider the problem of estimating the frequency components of a mixture of s complex sinusoids from a random subset of n regularly spaced samples. Unlike previous work in compressed sensing, the frequencies are not assumed to lie on a…

Information Theory · Computer Science 2013-07-12 Gongguo Tang , Badri Narayan Bhaskar , Parikshit Shah , Benjamin Recht

Classical sensors for spectrum analysis are widely used but lack micro- or nanoscale spatial resolution. On the other hand, quantum sensors, capable of working with nanoscale precision, do not provide precise frequency resolution over a…

Quantum Physics · Physics 2022-07-12 Nicolas Staudenmaier , Simon Schmitt , Liam P. McGuinness , Fedor Jelezko