Results 21 to 30 of about 861 (163)

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

Free summands of stably free modules

Forum of Mathematics, Sigma
Let R be a commutative ring. One may ask when a general R-module P that satisfies $P \oplus R \cong R^n$ has a free summand of a given rank. M. Raynaud translated this question into one about sections of certain maps between Stiefel varieties: if
Sebastian Gant, Ben Williams
doaj   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

Mathematische Nachrichten, EarlyView.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río, R. Rodríguez‐Gigirey, R. Vázquez‐Lorenzo   +2 more
wiley   +1 more source

A commutative noncommutative fractal geometry

, 2011
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core   +1 more source

Matrix invertible extensions over commutative rings. Part I: General theory

Journal of Pure and Applied Algebra
Accepted for publication in final form (18 pages) in J. Pure Appl. Algebra on Nov. 18, 2024.
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu   +2 more
openaire   +2 more sources

Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework

Systems Research and Behavioral Science, EarlyView.
ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley   +1 more source

An Innovative Approach to Multi‐Valued Logic

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley   +1 more source

Spectral Curves for Third-Order ODOs

Axioms
Spectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
doaj   +1 more source

DC Side Impedance Modelling of an Actual Line Commutated Converter High Voltage Direct Current System and DC Resonance Characteristics

High Voltage, EarlyView.
ABSTRACT The stability analysis of Line Commutated Converter High Voltage Direct Current (LCC‐HVDC) is of considerable engineering importance. Establishing its analytical mathematical model helps to analyse stability and the factors that affect stability of the system.
Juanjuan Wang, Juntao Liu, Qingming Xin, Ze Mo, Baixian Ye, Yuekun Liu, Chuang Fu   +6 more
wiley   +1 more source

Smarandache Fuzzy Algebra [PDF]

, 2003
groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy, W. B. Vasantha Kandasamy, Kandasamy, Vasantha   +2 more
core   +1 more source