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We derive fundamental lower bounds on the performance of optical metrology and communication systems in a Bayesian framework. The derivation uses classical rate-distortion theory in conjunction with bounds on the capacity to transmit…

量子物理 · 物理学 2018-09-24 Ranjith Nair

The Shannon upper bound places a limit on the error-free information transmission rate (capacity) of a noisy channel. It has stood for over sixty years, and underlies both theoretical and practical work in the telecommunications industry.…

信息论 · 计算机科学 2017-05-08 Jon Montalban , Jon Barrueco , Pablo Angueira , Jerrold D. Prothero

In this paper we introduce a new approach to the diffusive limit of the weakly random Schrodinger equation, first studied by L. Erdos, M. Salmhofer, and H.T. Yau. Our approach is based on a wavepacket decomposition of the evolution…

数学物理 · 物理学 2024-12-11 Felipe Hernández

A~dynamical justification of quantum differential cross section in the context of long time transition to stationary regime for the Schr\"odinger equation is suggested. The problem has been stated by Reed and Simon. Our approach is based on…

数学物理 · 物理学 2014-09-09 Alexander Komech

The new concept of quantum wave-impedance (QWI), Z is introduced to answer the question whether there is impedance to a Schrodinger wave. Z will be an analogue of Maxwell's free space impedance (376.7 ohm) for electromagnetic waves. We…

介观与纳米尺度物理 · 物理学 2007-05-23 Timir Datta , Raphael Tsu

This paper presents the design and simulation of a new curved monopole antenna optimized for skywave HF radar applications, with a systematic investigation of the effects of curvature and fixed-section length on antenna performance. The…

系统与控制 · 电气工程与系统科学 2026-03-10 Masoud Salmani Arani , Reza Shahidi , Lihong Zhang

Starting from the rigorous excitation equation, the propagation of waves through a 2D waveguide with the periodically corrugated finite-length insert is examined in detail. The corrugation profile is chosen to obey the property that its…

介观与纳米尺度物理 · 物理学 2013-06-20 V. O. Goryashko , Yu. V. Tarasov , L. D. Shostenko

The problem of the quantum-limited or intrinsic linewidth of a good-cavity laser is revisited. Starting from the Scully-Lamb master equation, we present a fully analytical treatment to determine the correlation function and the spectrum of…

量子物理 · 物理学 2009-11-06 Ulrike Herzog , János A. Bergou

In modern radio astronomy, one of the key technologies is to widen the frequency coverage of an instrument. The effects of higher-order modes on an instrument associated with wider bandwidths have been reported, which may degrade…

天体物理仪器与方法 · 物理学 2024-03-19 Y. Yamasaki , H. Imada

This is a tutorial aimed at illustrating some recent developments in quantum parameter estimation beyond the Cram\`er-Rao bound, as well as their applications in quantum metrology. Our starting point is the observation that there are…

量子物理 · 物理学 2020-03-06 Luigi Seveso , Matteo G. A. Paris

We introduce the periodic Airy-Schr\"odinger operator and we study its band spectrum. This is an example of an explicitly solvable model with a periodic potential which is not differentiable at its minima and maxima. We define a…

谱理论 · 数学 2017-01-30 H Boumaza , O Lafitte

The optimal spectral efficiency and number of independent channels for MIMO antennas in isotropic multipath channels are investigated when bandwidth requirements are placed on the antenna. By posing the problem as a convex optimization…

信号处理 · 电气工程与系统科学 2021-09-07 Casimir Ehrenborg , Mats Gustafsson , Miloslav Capek

In this paper, the Q-factor expression for periodic arrays over a ground plane is determined in terms of the electric current density within the array's unit cell. The expression accounts for the exact shape of the array element. The…

经典物理 · 物理学 2020-02-19 Andrei Ludvig-Osipov , B. L. G. Jonsson

We define pure gauge $QCD$ on an infinite strip of width $L$. Techniques similar to those used in finite $TQCD$ allow us to relate $3D$-observables to pure $QCD_2$ behaviors. The non triviality of the $L \arrow 0$ limit is proven and the…

高能物理 - 理论 · 物理学 2009-10-28 A. Ferrando , A. Jaramillo

We determine optimal designs for some regression models which are frequently used for describing three-dimensional shapes. These models are based on a Fourier expansion of a function defined on the unit sphere in terms of spherical harmonic…

统计理论 · 数学 2007-06-13 Holger Dette , Viatcheslav B. Melas , Andrey Pepelyshev

Despite quantum networking concepts, designs, and hardware becoming increasingly mature, there is no consensus on the optimal wavelength for free-space systems. We present an in-depth analysis of a daytime free-space quantum channel as a…

We develop a perturbative approach that allows one to study the surface scattering in quasi-1D waveguides with rough boundaries. Our approach is based on the construction of an effective ``bulk'' potential of a very complicated structure.…

介观与纳米尺度物理 · 物理学 2007-09-25 F. M. Izrailev , N. M. Makarov , M. Rendon

We consider the problem of modulating the value of a parameter onto a band-limited signal to be transmitted over a continuous-time, additive white Gaussian noise (AWGN) channel, and estimating this parameter at the receiver. The performance…

信息论 · 计算机科学 2016-06-22 Nir Weinberger , Neri Merhav

We study random Hamiltonians on finite-size cubes and waveguide segments of increasing diameter. The number of random parameters determining the operator is proportional to the volume of the cube. In the asymptotic regime where the cube…

偏微分方程分析 · 数学 2016-01-15 Denis Borisov , Anastasia Golovina , Ivan Veselic

We consider the problem of deterministic broadcasting in radio networks when the nodes have limited knowledge about the topology of the network. We show that for every deterministic broadcasting protocol there exists a network, of radius 2,…

离散数学 · 计算机科学 2008-02-01 Carlos Brito , Shailesh Vaya