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Book
Computer Algebra in Scientific Computing
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ISBN: 3039217313 3039217305 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Although scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The expression-based computational answers generally provided by these methods are very appealing as they directly relate properties to parameters and speed up testing and tuning of mathematical models through all their possible behaviors. This book contains 8 original research articles dealing with a broad range of topics, ranging from algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers over methods for certifying the isolated zeros of polynomial systems to computer algebra problems in quantum computing.


Book
Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019)
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

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.

Keywords

Research & information: general --- 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.


Book
Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019)
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

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.

Keywords

Research & information: general --- 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.


Book
Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019)
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

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.

Keywords

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.

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