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We address the case, when querying to the oracle in Grover's algorithm is exposed to noise including phase distortions. The oracle-box wires can be altered by an opposite party that tries to prevent correct receiving data from the oracle.…

Quantum Physics · Physics 2018-07-04 Alexey E. Rastegin

The core of every orbit determination process is the comparison between the measured observables and their predicted values, computed using the adopted mathematical models, and the minimization, in a least square sense, of their…

Instrumentation and Methods for Astrophysics · Physics 2019-08-22 Marco Zannoni , Paolo Tortora

Mechanical resonators are widely used as precision clocks and sensitive detectors that rely on the stability of their eigenfrequencies. The phase noise is determined by different factors ranging from thermal noise and frequency noise of the…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 L. Huang , S. M. Soskin , I. A. Khovanov , R. Mannella , K. Ninios , H. B. Chan

Low internal friction coatings are key components of advanced technologies such as optical atomic clocks and high-finesse optical cavity and often lie at the forefront of the most advanced experiments in Physics. Notably, increasing the…

We report on the relative length fluctuation of two fixed-spacer Fabry-Perot cavities with mirrors fabricated from silica/tantala dielectric coatings on fused silica substrates. By locking a laser to each cavity and reading out the beat…

We study a quantum dot strongly coupled to a single high-finesse optical microcavity mode. We use a rotating wave approximation method, commonly used in ion-laser interactions, tegether with the Lamb-Dicke approximation to obtain an…

Other Condensed Matter · Physics 2008-05-26 Jonas Larson , Hector Moya-Cessa

Being complex-valued and low in signal-to-noise ratios, magnitude-based diffusion MRI is confounded by the noise-floor that falsely elevates signal magnitude and incurs bias to the commonly used diffusion indices, such as fractional…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Liu Feihong , Yang Junwei , He Xiaowei , Zhou Luping , Feng Jun , Shen Dinggang

The analysis of charge noise based on the Bloch-Redfield treatment of an ensemble of dissipative two-level fluctuators generally results in a violation of the fluctuation-dissipation theorem. The standard Markov approximation (when applied…

Quantum Physics · Physics 2021-01-19 Xinyuan You , Aashish A. Clerk , Jens Koch

Advances in nanomechanics within recent years have demonstrated an always expanding range of devices, from top-down structures to appealing bottom-up MoS$_2$ and graphene membranes, used for both sensing and component-oriented applications.…

We present the theory of interaction between a polar vibration in a semiconductor and an electromagnetic mode of a surrounding cavity. Tuning the cavity frequency near the transverse optical phonon frequency couples the phonon-induced…

Materials Science · Physics 2007-05-23 Hadley M. Lawler , Jason N. Byrd , Gavin K. Brennen

We present a theoretical investigation of coherent anti-Stokes Raman scattering (CARS) that is modulated by periodically depleting the ground state population through Rabi oscillations driven by an additional control laser. We find that…

We characterize the phase noise of a microwave photonic channel, where a 10 GHz signal is carried by an intensity-modulated light beam over a short optical fiber, and detected. Two options are compared, (i) an electro-optic modulator (EOM),…

Optics · Physics 2023-11-21 Damien Teyssieux , Jacques Millo , Enrico Rubiola , Rodolphe Boudot

We analyze the effects of noise and parameter deviations in a bichromatic Raman type white light cavity, with potential applications in precision measurements such as gravitational wave detection. The results show that the dispersion…

Quantum Physics · Physics 2013-05-29 Qingqing Sun , M. Selim Shahriar , M. Suhail Zubairy

We study theoretically the spectrum, F(s), of spin-dependent transition rates within dipolar D and exchange J coupled pairs of two spins with S=1/2 undergoing Rabi oscillations due to a coherent magnetic resonant excitation. We show that…

Materials Science · Physics 2013-04-24 R. Glenn , M. E. Limes , B. Saam , C. Boehme , M. E. Raikh

Thermodynamically induced length fluctuations of high-reflectivity mirror coatings put a fundamental limit on sensitivity and stability of precision optical interferometers like gravitational wave detectors and ultra-stable lasers. The main…

State-of-the-art optical oscillators employing cryogenic reference cavities are limited in performance by the Brownian thermal noise associated with the mechanical dissipation of the mirror coatings. Recently, crystalline…

We consider the convergence problem in the setting of mean field control with common noise and degenerate idiosyncratic noise. Our main results establish a rate of convergence of the finite-dimensional value functions $V^N$ towards the mean…

Optimization and Control · Mathematics 2025-01-22 Alekos Cecchin , Samuel Daudin , Joe Jackson , Mattia Martini

Stabilized optical frequency combs (OFC) can have remarkable levels of coherence across their broad spectral bandwidth. We study the scaling of the optical noise across hundreds of nanometers of optical spectra. We measure the residual…

Optics · Physics 2017-03-09 Qudsia Quraishi , Scott Diddams , Leo Hollberg

As a new method to determine the resonance frequency, Rabi-oscillation spectroscopy has been developed. In contrast to the conventional spectroscopy which draws the resonance curve, Rabi-oscillation spectroscopy fits the time evolution of…

We discover that common diffusion noise schedules do not enforce the last timestep to have zero signal-to-noise ratio (SNR), and some implementations of diffusion samplers do not start from the last timestep. Such designs are flawed and do…

Computer Vision and Pattern Recognition · Computer Science 2024-01-25 Shanchuan Lin , Bingchen Liu , Jiashi Li , Xiao Yang