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Related papers: Capacity of nonlinear bosonic systems

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In this paper, we study, information theoretically, the impact of transmitter and or receiver cognition on the channel capacity. The cognition can be described by state information, dependent on the channel noise and or input. Specifically,…

Information Theory · Computer Science 2015-03-19 Nima S. Anzabi-Nezhad , Ghosheh Abed Hodtani , Mohammad Molavi Kakhki

We consider electromagnetic nonlinear normal modes in cylindrical cavity resonators filled with a nonlinear nondispersive medium. The key feature of the analysis is that exact analytical solutions of the nonlinear field equations are…

Classical Physics · Physics 2016-09-01 A. V. Kudrin , O. A. Kudrina , E. Yu. Petrov

The minimization of Gibbs free energy is based on the changes in work and free energy that occur in a physical or chemical system. The maximization of mutual information, the capacity, of a noisy channel is determined based on the marginal…

Statistical Mechanics · Physics 2008-09-23 David Ford

We consider a quantum bosonic channel that couples the input mode via a beam splitter or two-mode squeezer to an environmental mode that is prepared in an arbitrary state. We investigate the classical capacity of this channel, which we call…

Quantum Physics · Physics 2026-01-23 Zacharie Van Herstraeten , Saikat Guha , Nicolas J. Cerf

The capacity of discrete-time, non-coherent, multipath fading channels is considered. It is shown that if the delay spread is large in the sense that the variances of the path gains do not decay faster than geometrically, then capacity is…

Information Theory · Computer Science 2016-11-18 Tobias Koch , Amos Lapidoth

It is shown that phase-insensitive Gaussian bosonic channels are majorization-preserving over the set of passive states of the harmonic oscillator. This means that comparable passive states under majorization are transformed into equally…

Quantum Physics · Physics 2016-07-28 Michael G. Jabbour , Raúl García-Patrón , Nicolas J. Cerf

In this study, we explore the information capacity of open quantum systems, focusing on the effective channels formed by the subsystem of random quantum circuits and quantum Hamiltonian evolution. By analyzing the subsystem information…

Quantum Physics · Physics 2025-06-26 Yu-Qin Chen , Shuo Liu , Shi-Xin Zhang

The capacity of discrete-time, noncoherent, multipath fading channels is considered. It is shown that if the variances of the path gains decay faster than exponentially, then capacity is unbounded in the transmit power.

Information Theory · Computer Science 2008-10-14 Tobias Koch , Amos Lapidoth

We theoretically study the properties of one-dimensional nonlinear saturable photonic lattices exhibiting multiple mobility windows for stationary solutions. The effective energy barrier decreases to a minimum in those power regions where a…

Pattern Formation and Solitons · Physics 2011-04-19 Uta Naether , Rodrigo A. Vicencio , Milutin Stepić

In this work we show how friction enables a non-linear energy transfer in a slow-fast Hamiltonian system. We first introduce a paradigmatic system consisting of a weakly coupled fast and slow oscillator that gives rise to a non-linear…

Classical Physics · Physics 2024-12-23 Diego M Fieguth

It is well known that the dynamics of a Hamiltonian system depends crucially on whether or not it possesses nonlinear resonances. In the generic case, the set of nonlinear resonances consists of independent clusters of resonantly…

Exactly Solvable and Integrable Systems · Physics 2009-01-16 Miguel D. Bustamante , Elena Kartashova

Information Causality is a physical principle which states that the amount of randomly accessible data over a classical communication channel cannot exceed its capacity, even if the sender and the receiver have access to a source of…

Quantum Physics · Physics 2021-06-09 Nikolai Miklin , Marcin Pawłowski

We review some recent results on the anomalous diffusion of energy in systems of 1D coupled oscillators and we revisit the role of momentum conservation.

Statistical Mechanics · Physics 2013-10-08 Cédric Bernardin

In this paper we consider two classes of resonant Hamiltonian PDEs on the circle with non-convex (respect to actions) first order resonant Hamiltonian. We show that, for appropriate choices of the nonlinearities we can find time-independent…

Analysis of PDEs · Mathematics 2021-03-15 Filippo Giuliani

The deterministic notions of capacity and entropy are studied in the context of communication and storage of information using square-integrable, bandlimited signals subject to perturbation. The $(\epsilon,\delta)$-capacity, that extends…

Information Theory · Computer Science 2015-04-21 Massimo Franceschetti , Taehyung J. Lim

A complete analysis of multi-mode bosonic Gaussian channels is proposed. We clarify the structure of unitary dilations of general Gaussian channels involving any number of bosonic modes and present a normal form. The maximum number of…

Quantum Physics · Physics 2009-08-17 F. Caruso , J. Eisert , V. Giovannetti , A. S. Holevo

We derive the capacity region of the state-dependent semideterministic broadcast channel with noncausal state-information at the transmitter. One of the two outputs of this channel is a deterministic function of the channel input and the…

Information Theory · Computer Science 2012-11-14 Amos Lapidoth , Ligong Wang

Nonlinear effects are omnipresent in thin films of ion conducting materials showing up as a significant increase of the conductivity. For a disordered hopping model general physical mechanisms are identified giving rise to the occurrence of…

Disordered Systems and Neural Networks · Physics 2015-06-18 Andreas Heuer , Lars Luehning

Quantum capacity gives the fundamental limit of information transmission through a channel. However, evaluating the quantum capacities of a continuous-variable bosonic quantum channel, as well as finding an optimal code to achieve the…

Quantum Physics · Physics 2025-10-03 Adam Taylor , Michael Hanks , Hyukjoon Kwon , M. S. Kim

A novel technique to optimize the input distribution and compute a lower bound for the capacity of the nonlinear optical fiber channel is proposed. The technique improves previous bounds obtained with the additive white Gaussian noise…

Information Theory · Computer Science 2021-06-09 Stella Civelli , Enrico Forestieri , Alexey Lotsmanov , Dmitry Razdoburdin , Marco Secondini