Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The first quantum revolution started in the early 20th century and gave us new rules that govern physical reality. Accordingly, many devices that changed dramatically our lifestyle, such as transistors, medical scanners and lasers, appeared in the market. This was the origin of quantum technology, which allows us to organize and control the components of a complex system governed by the laws of quantum physics. This is in sharp contrast to conventional technology, which can only be understood within the framework of classical mechanics. We are now in the middle of a second quantum revolution. Although quantum mechanics is nowadays a mature discipline, quantum engineering as a technology is now emerging in its own right. We are about to manipulate and sense individual particles, measuring and exploiting their quantum properties. This is bringing major technical advances in many different areas, including computing, sensors, simulations, cryptography and telecommunications. The present collection of selected papers is a clear demonstration of the tremendous vitality of the field. The issue is composed of contributions from world leading researchers in quantum optics and quantum information, and presents viewpoints, both theoretical and experimental, on a variety of modern problems.

entangled states --- two atoms --- two-modes --- cavity QED setup --- entanglement --- interference phenomenon --- superposition of quantum states --- quantum tomograms --- quantum optics --- nonclassicality --- quantum resource theories --- non-Gaussianity --- photon-number-resolving detectors --- multiport devices --- Fock states --- quantum tomography --- photon losses --- relativistic dynamics --- no-interaction theorem --- world line condition --- circular gauge --- Landau gauge --- arbitrary linear gauge --- stepwise variation --- center-of-orbit coordinates --- relative coordinates --- elliptic and hyperbolic solenoids --- angular momentum --- magnetic moment --- squeezing --- mutually unbiased bases --- group representations --- graphs --- quantum information --- E = mc2 from Heisenberg’s uncertainty relations --- one symmetry for quantum mechanics and special relativity --- coherent states --- harmonic oscillator --- SU(2) coherent states --- 2D coherent states --- resolution of the identity --- uncertainty principle --- isotropic harmonic oscillator --- anisotropic harmonic oscillator --- Sudarshan --- apology --- non-hermitian operators --- real spectrum --- nonlinear algebras --- nonclassical states --- bound entanglement --- entanglement witness --- Hilbert–Schmidt measure --- optimization algorithms --- probability representation --- quantizer–dequantizer --- qubit --- quantum suprematism --- n/a --- E = mc2 from Heisenberg's uncertainty relations --- Hilbert-Schmidt measure --- quantizer-dequantizer --- Research.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties.

entanglement indicators --- generalized uncertainty principle --- Tsallis entropy --- linear entropy --- quantum-classical relationship --- Wigner–Yanase–Dyson skew information --- deep learning --- spinors in quantum and classical physics --- quantum mechanics --- entropy --- original Bell inequality --- Bohmian dynamics --- qudit states --- square integrable --- uncertainty relation --- quantum bound --- uncertainty relations --- foundations of quantum mechanics --- Born probability rule --- Rényi entropy --- energy quantization --- quantum foundations --- Born rule --- measure of classicality --- minimal observable length --- quantum information --- Kochen–Specker theorem --- neuromorphic computing --- bell inequalities --- successive measurements --- Gleason theorem --- continuous variables --- quantum memory --- perfect correlation/anticorrelation --- quantum trajectory --- quantum computing --- high performance computing --- Quantum Hamilton-Jacobi Formalism --- quantum uncertainty

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In the last two decades, the understanding of complex dynamical systems underwent important conceptual shifts. The catalyst was the infusion of new ideas from the theory of critical phenomena (scaling laws, renormalization group, etc.), (multi)fractals and trees, random matrix theory, network theory, and non-Shannonian information theory. The usual Boltzmann–Gibbs statistics were proven to be grossly inadequate in this context. While successful in describing stationary systems characterized by ergodicity or metric transitivity, Boltzmann–Gibbs statistics fail to reproduce the complex statistical behavior of many real-world systems in biology, astrophysics, geology, and the economic and social sciences.The aim of this Special Issue was to extend the state of the art by original contributions that could contribute to an ongoing discussion on the statistical foundations of entropy, with a particular emphasis on non-conventional entropies that go significantly beyond Boltzmann, Gibbs, and Shannon paradigms. The accepted contributions addressed various aspects including information theoretic, thermodynamic and quantum aspects of complex systems and found several important applications of generalized entropies in various systems.

Research & information: general --- Mathematics & science --- ecological inference --- generalized cross entropy --- distributional weighted regression --- matrix adjustment --- entropy --- critical phenomena --- renormalization --- multiscale thermodynamics --- GENERIC --- non-Newtonian calculus --- non-Diophantine arithmetic --- Kolmogorov-Nagumo averages --- escort probabilities --- generalized entropies --- maximum entropy principle --- MaxEnt distribution --- calibration invariance --- Lagrange multipliers --- generalized Bilal distribution --- adaptive Type-II progressive hybrid censoring scheme --- maximum likelihood estimation --- Bayesian estimation --- Lindley's approximation --- confidence interval --- Markov chain Monte Carlo method --- Rényi entropy --- Tsallis entropy --- entropic uncertainty relations --- quantum metrology --- non-equilibrium thermodynamics --- variational entropy --- rényi entropy --- tsallis entropy --- landsberg-vedral entropy --- gaussian entropy --- sharma-mittal entropy --- α-mutual information --- α-channel capacity --- maximum entropy --- Bayesian inference --- updating probabilities --- ecological inference --- generalized cross entropy --- distributional weighted regression --- matrix adjustment --- entropy --- critical phenomena --- renormalization --- multiscale thermodynamics --- GENERIC --- non-Newtonian calculus --- non-Diophantine arithmetic --- Kolmogorov-Nagumo averages --- escort probabilities --- generalized entropies --- maximum entropy principle --- MaxEnt distribution --- calibration invariance --- Lagrange multipliers --- generalized Bilal distribution --- adaptive Type-II progressive hybrid censoring scheme --- maximum likelihood estimation --- Bayesian estimation --- Lindley's approximation --- confidence interval --- Markov chain Monte Carlo method --- Rényi entropy --- Tsallis entropy --- entropic uncertainty relations --- quantum metrology --- non-equilibrium thermodynamics --- variational entropy --- rényi entropy --- tsallis entropy --- landsberg-vedral entropy --- gaussian entropy --- sharma-mittal entropy --- α-mutual information --- α-channel capacity --- maximum entropy --- Bayesian inference --- updating probabilities

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book explores the role of causal constraints in science, shifting our attention from causal relations between individual events--the focus of most philosophical treatments of causation-to a broad family of concepts and principles generating constraints on possible change. Yemima Ben-Menahem looks at determinism, locality, stability, symmetry principles, conservation laws, and the principle of least action-causal constraints that serve to distinguish events and processes that our best scientific theories mandate or allow from those they rule out.Ben-Menahem's approach reveals that causation is just as relevant to explaining why certain events fail to occur as it is to explaining events that do occur. She investigates the conceptual differences between, and interrelations of, members of the causal family, thereby clarifying problems at the heart of the philosophy of science. Ben-Menahem argues that the distinction between determinism and stability is pertinent to the philosophy of history and the foundations of statistical mechanics, and that the interplay of determinism and locality is crucial for understanding quantum mechanics. Providing historical perspective, she traces the causal constraints of contemporary science to traditional intuitions about causation, and demonstrates how the teleological appearance of some constraints is explained away in current scientific theories such as quantum mechanics.Causation in Science represents a bold challenge to both causal eliminativism and causal reductionism-the notions that causation has no place in science and that higher-level causal claims are reducible to the causal claims of fundamental physics.

Causation. --- Science --- Causality --- Cause and effect --- Effect and cause --- Final cause --- Beginning --- God --- Metaphysics --- Philosophy --- Necessity (Philosophy) --- Teleology --- Normal science --- Philosophy of science --- Philosophy. --- Causalità. --- Bertrand Russell. --- Curie's principle. --- Donald Davidson. --- Erwin Schrödinger. --- God. --- Heisenberg uncertainty relations. --- I. Pitowsky. --- Leonhard Euler. --- Pauli exclusion principle. --- Pierre-Louis Moreau de Maupertuis. --- S. Popescu. --- causal constraints. --- causal eliminativism. --- causal family. --- causal reductionism. --- causal relations. --- causality. --- causation. --- causes. --- change. --- conservation laws. --- determinism. --- directionality. --- dynamics. --- emergence. --- entanglement. --- fate. --- gauge freedom. --- gauge theories. --- higher-level causation. --- higher-level eliminativism. --- indeterminism. --- instability. --- lawlessness. --- least action principle. --- locality. --- necessity. --- nonlocality. --- philosophy of mind. --- physical theories. --- physics. --- probability. --- quantum mechanics. --- reasons. --- reduction. --- science. --- stability. --- statistical mechanics. --- sufficient reason principle. --- symmetries. --- teleological thinking. --- teleology. --- variation principles.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The first quantum revolution started in the early 20th century and gave us new rules that govern physical reality. Accordingly, many devices that changed dramatically our lifestyle, such as transistors, medical scanners and lasers, appeared in the market. This was the origin of quantum technology, which allows us to organize and control the components of a complex system governed by the laws of quantum physics. This is in sharp contrast to conventional technology, which can only be understood within the framework of classical mechanics. We are now in the middle of a second quantum revolution. Although quantum mechanics is nowadays a mature discipline, quantum engineering as a technology is now emerging in its own right. We are about to manipulate and sense individual particles, measuring and exploiting their quantum properties. This is bringing major technical advances in many different areas, including computing, sensors, simulations, cryptography and telecommunications. The present collection of selected papers is a clear demonstration of the tremendous vitality of the field. The issue is composed of contributions from world leading researchers in quantum optics and quantum information, and presents viewpoints, both theoretical and experimental, on a variety of modern problems.

Research. --- entangled states --- two atoms --- two-modes --- cavity QED setup --- entanglement --- interference phenomenon --- superposition of quantum states --- quantum tomograms --- quantum optics --- nonclassicality --- quantum resource theories --- non-Gaussianity --- photon-number-resolving detectors --- multiport devices --- Fock states --- quantum tomography --- photon losses --- relativistic dynamics --- no-interaction theorem --- world line condition --- circular gauge --- Landau gauge --- arbitrary linear gauge --- stepwise variation --- center-of-orbit coordinates --- relative coordinates --- elliptic and hyperbolic solenoids --- angular momentum --- magnetic moment --- squeezing --- mutually unbiased bases --- group representations --- graphs --- quantum information --- E = mc2 from Heisenberg's uncertainty relations --- one symmetry for quantum mechanics and special relativity --- coherent states --- harmonic oscillator --- SU(2) coherent states --- 2D coherent states --- resolution of the identity --- uncertainty principle --- isotropic harmonic oscillator --- anisotropic harmonic oscillator --- Sudarshan --- apology --- non-hermitian operators --- real spectrum --- nonlinear algebras --- nonclassical states --- bound entanglement --- entanglement witness --- Hilbert-Schmidt measure --- optimization algorithms --- probability representation --- quantizer-dequantizer --- qubit --- quantum suprematism --- entangled states --- two atoms --- two-modes --- cavity QED setup --- entanglement --- interference phenomenon --- superposition of quantum states --- quantum tomograms --- quantum optics --- nonclassicality --- quantum resource theories --- non-Gaussianity --- photon-number-resolving detectors --- multiport devices --- Fock states --- quantum tomography --- photon losses --- relativistic dynamics --- no-interaction theorem --- world line condition --- circular gauge --- Landau gauge --- arbitrary linear gauge --- stepwise variation --- center-of-orbit coordinates --- relative coordinates --- elliptic and hyperbolic solenoids --- angular momentum --- magnetic moment --- squeezing --- mutually unbiased bases --- group representations --- graphs --- quantum information --- E = mc2 from Heisenberg's uncertainty relations --- one symmetry for quantum mechanics and special relativity --- coherent states --- harmonic oscillator --- SU(2) coherent states --- 2D coherent states --- resolution of the identity --- uncertainty principle --- isotropic harmonic oscillator --- anisotropic harmonic oscillator --- Sudarshan --- apology --- non-hermitian operators --- real spectrum --- nonlinear algebras --- nonclassical states --- bound entanglement --- entanglement witness --- Hilbert-Schmidt measure --- optimization algorithms --- probability representation --- quantizer-dequantizer --- qubit --- quantum suprematism