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We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

We introduce a general framework for treating channels with memory and feedback. First, we generalize Massey's concept of directed information and use it to characterize the feedback capacity of general channels. Second, we present coding…

Information Theory · Computer Science 2007-07-13 Sekhar Tatikonda , Sanjoy Mitter

Determining the ultimate classical information carrying capacity of electromagnetic waves requires quantum-mechanical analysis to properly account for the bosonic nature of these waves. Recent work has established capacity theorems for…

Quantum Physics · Physics 2008-02-10 Saikat Guha , Jeffrey H. Shapiro , Baris I. Erkmen

Practical methods to compute dipole strengths for a three-body system by using a discretized continuum are analyzed. New techniques involving Green's function are developed, either by correcting the tail of the approximate wave function in…

Nuclear Theory · Physics 2014-11-20 Y. Suzuki , W. Horiuchi , D. Baye

Bosonic channels are important in practice as they form a simple model for free-space or fiber-optic communication. Here we consider a single-sender two-receiver pure-loss bosonic broadcast channel and determine the unconstrained capacity…

Quantum Physics · Physics 2016-11-15 Masahiro Takeoka , Kaushik P. Seshadreesan , Mark M. Wilde

The capacity of a channel with an energy-harvesting (EH) encoder and a finite battery remains an open problem, even in the noiseless case. A key instance of this scenario is the binary EH channel (BEHC), where the encoder has a unit-sized…

Information Theory · Computer Science 2025-02-12 Eli Shemuel , Oron Sabag , Haim H. Permuter

In this paper, we present a method for computing bounds for a variety of efficiency metrics in photonics, such as the focusing efficiency or the mode purity. We focus on the special case where the objective function can be written as the…

Optimization and Control · Mathematics 2023-06-30 Guillermo Angeris , Theo Diamandis , Jelena Vučković , Stephen Boyd

A sphere packing bound (SPB) with a prefactor that is polynomial in the block length $n$ is established for codes on a length $n$ product channel $W_{[1,n]}$ assuming that the maximum order $1/2$ Renyi capacity among the component channels,…

Information Theory · Computer Science 2019-08-27 Baris Nakiboglu

The Shannon capacity of a point-to-point link with an optimised configuration of optical amplifiers is compared with general detection strategies permitted by quantum mechanics. Results suggest that the primary application area of receivers…

Quantum Physics · Physics 2021-10-26 Marcin Jarzyna , Raul Garcia-Patron , Konrad Banaszek

We present a rigorous electromagnetic method based on Green's second identity for studying the plasmonic response of graphene-coated wires of arbitrary shape. The wire is illuminated perpendicular to its axis by a monochromatic…

Optics · Physics 2017-05-24 Claudio Valencia , Máximo A. Riso , Mauro Cuevas , Ricardo A. Depine

The integration density of photonic integrated circuits has been limited by light coupling between waveguides. Traditional approaches to layout the waveguide with high density are based on refractive index engineering to suppress the light…

The data transfer capacity of a communication channel is limited by the Shannon-Hartley theorem and scales as $\text{log}_2(1 + \text{SNR})$ for a single channel with the power signal-to-noise ratio (SNR). We implement an array of…

Quantum Physics · Physics 2021-04-22 J. Susanne Otto , Marisol K. Hunter , Niels Kjærgaard , Amita B. Deb

Nowadays, methods for analyzing light transmission through subwavelength structures are typically based on the mode expansion with Fourier series. However, these methods require sophisticated techniques and the solutions are in $k$-space,…

Computational Physics · Physics 2019-06-06 Jian-Shiung Hong , Kuan-Ren Chen

The fundamental limit of Semantic Communications (joint source-channel coding) is established when the transmission needs to be kept covert from an external warden. We derive information-theoretic achievability and matching converse results…

Information Theory · Computer Science 2024-06-21 Abdelaziz Bounhar , Mireille Sarkiss , Michèle Wigger

We consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally…

Information Theory · Computer Science 2014-06-16 A. Papadopoulos , L. Georgiadis

In this note we study Shannon capacity of channels in the context of classical Ramsey numbers. We overview some of the results on capacity of noisy channels modelled by graphs, and how some constructions may contribute to our knowledge of…

Combinatorics · Mathematics 2014-05-30 Xiaodong Xu , Stanisław Radziszowski

Dense coding is arguably the protocol that launched the field of quantum communication. Today, however, more than a decade after its initial experimental realization, the channel capacity remains fundamentally limited as conceived for…

Quantum Physics · Physics 2010-09-28 Julio T. Barreiro , Tzu-Chieh Wei , Paul G. Kwiat

A domain integral method employing a specific Green's function (i.e., incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative…

We discuss the general form of the transmission spectrum through a molec- ular junction in terms of the Green function of the isolated molecule. By introducing a tight binding method, we are able to translate the Green func- tion properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Daniel A. Lovey , Rodolfo H. Romero

Recently, great progress has been made in the entanglement of multiple photons at various wavelengths and in different degrees of freedom for optical quantum information applied in diverse scenarios. However, multi-photon entanglement in…