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Quantum Information and Foundations

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ISBN: 9783039283804 9783039283811 Year: Pages: 508 DOI: 10.3390/books978-3-03928-381-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-04-07 23:07:09
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Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultra-sensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on non-causal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.

Keywords

reconstruction of quantum theory --- entanglement --- monogamy --- quantum non-locality --- conserved informational charges --- limited information --- complementarity --- characterization of unitary group and state spaces --- algebraic quantum theory --- C*-algebra --- gelfand duality --- classical context --- bohrification --- process theory --- classical limit --- purity --- higher-order interference --- generalised probabilistic theories --- Euclidean Jordan algebras --- Pauli exclusion principle --- quantum foundations --- X-ray spectroscopy --- underground experiment --- silicon drift detector --- measurement uncertainty relations --- relative entropy --- position --- momentum --- quantum mechanics --- the measurement problem --- collapse models --- X-rays --- quantum gravity --- discrete spacetime --- causal sets --- path summation --- entropic gravity --- physical computing models --- complexity classes --- causality --- blind source separation (BSS) --- qubit pair --- exchange coupling --- entangled pure state --- unentanglement criterion --- probabilities in quantum measurements --- independence of random quantum sources --- iterant --- Clifford algebra --- matrix algebra --- braid group --- Fermion --- Dirac equation --- quantum information --- quantum computation --- semiclassical physics --- quantum control --- quantum genetic algorithm --- sampling-based learning control (SLC) --- quantum foundations --- relativity --- quantum gravity --- cluster states --- multipartite entanglement --- percolation --- Shannon information --- quantum information --- quantum measurements --- consistent histories --- incompatible frameworks --- single framework rule --- probability theory --- entropy --- quantum relative entropy --- quantum information --- quantum mechanics --- inference --- quantum measurement --- quantum estimation --- macroscopic quantum measurement --- quantum annealing --- adiabatic quantum computing --- hard problems --- Hadamard matrix --- binary optimization --- reconstruction of quantum mechanics --- conjugate systems --- Jordan algebras --- quantum correlations --- Gaussian states --- Gaussian unitary operations --- continuous-variable systems --- Wigner-friend experiment --- no-go theorem --- quantum foundations --- interpretations of quantum mechanics --- subsystem --- agent --- conservation of information --- purification --- group representations --- commuting subalgebras --- quantum walks --- Hubbard model --- Thirring model --- quantum information --- quantum foundations --- quantum theory and gravity

Quantum Probability and Randomness

Authors: ---
ISBN: 9783038977148 9783038977155 Year: Pages: 276 DOI: 10.3390/books978-3-03897-715-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-04-25 16:37:17
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The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics&mdash;in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Keywords

quantum logic --- groups --- partially defined algebras --- quasigroups --- viable cultures --- quantum information theory --- bit commitment --- protocol --- entropy --- entanglement --- orthogonality --- quantum computation --- Gram–Schmidt process --- quantum probability --- potentiality --- complementarity --- uncertainty relations --- Copenhagen interpretation --- indefiniteness --- indeterminism --- causation --- randomness --- quantum information --- quantum dynamics --- entanglement --- algebra --- causality --- geometry --- probability --- quantum information theory --- realism --- reality --- entropy --- correlations --- qubits --- probability representation --- Bayes’ formula --- quantum entanglement --- three-qubit random states --- entanglement classes --- entanglement polytope --- anisotropic invariants --- quantum random number --- vacuum state --- maximization of quantum conditional min-entropy --- quantum logics --- quantum probability --- holistic semantics --- epistemic operations --- Bell inequalities --- algorithmic complexity --- Borel normality --- Bayesian inference --- model selection --- random numbers --- quantum-like models --- operational approach --- information interpretation of quantum theory --- social laser --- social energy --- quantum information field --- social atom --- Bose–Einstein statistics --- bandwagon effect --- social thermodynamics --- resonator of social laser --- master equation for socio-information excitations --- quantum contextuality --- Kochen–Specker sets --- MMP hypergraphs --- Greechie diagrams --- quantum foundations --- probability --- irreducible randomness --- random number generators --- quantum technology --- entanglement --- quantum-like models for social stochasticity --- contextuality

Quantum Foundations. 90 Years of Uncertainty

Authors: --- --- ---
ISBN: 9783038977544 Year: Pages: 188 DOI: 10.3390/books978-3-03897-755-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Science (General)
Added to DOAB on : 2019-04-05 10:34:31
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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.

Atomic and Molecular Physics

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ISBN: 9782722602816 Year: Language: English
Publisher: Collège de France
Added to DOAB on : 2016-04-04 11:23:49
License: OpenEdition licence for Books

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When physicists began to explore the world of atoms more precisely, as they endeavoured to understand its structure and the laws governing its behaviour, they soon encountered serious difficulties. Our intuitive concepts, based on our daily experience of the macroscopic world around us, proved to be completely erroneous on the atomic scale; the atom was incomprehensible within the framework of classical physics. In order to uncover these new mysteries, after a great deal of trial and error, e...

Quantum Nonlocality

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ISBN: 9783038979487 9783038979494 Year: Pages: 238 DOI: 10.3390/books978-3-03897-949-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-06-26 08:44:06
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This book presents the current views of leading physicists on the bizarre property of quantum theory: nonlocality. Einstein viewed this theory as “spooky action at a distance” which, together with randomness, resulted in him being unable to accept quantum theory. The contributions in the book describe, in detail, the bizarre aspects of nonlocality, such as Einstein–Podolsky–Rosen steering and quantum teleportation—a phenomenon which cannot be explained in the framework of classical physics, due its foundations in quantum entanglement. The contributions describe the role of nonlocality in the rapidly developing field of quantum information. Nonlocal quantum effects in various systems, from solid-state quantum devices to organic molecules in proteins, are discussed. The most surprising papers in this book challenge the concept of the nonlocality of Nature, and look for possible modifications, extensions, and new formulations—from retrocausality to novel types of multiple-world theories. These attempts have not yet been fully successful, but they provide hope for modifying quantum theory according to Einstein’s vision.

Keywords

quantum nonlocality --- quantum mechanics --- Stern–Gerlach experiment --- quantum measurement --- pre- and post-selected systems --- retro-causal channel --- channel capacity --- channel entropy --- axioms for quantum theory --- PR box --- nonlocal correlations --- classical limit --- retrocausality --- quantum correlations --- quantum bounds --- nonlocality --- tsallis entropy --- ion channels --- selectivity filter --- quantum mechanics --- non-linear Schrödinger model --- biological quantum decoherence --- non-locality --- parity measurements --- entanglement --- pigeonhole principle --- controlled-NOT --- semiconductor nanodevices --- quantum transport --- density-matrix formalism --- Wigner-function simulations --- nonlocal dissipation models --- steering --- entropic uncertainty relation --- general entropies --- Bell’s theorem --- Einstein–Podolsky–Rosen argument --- local hidden variables --- local realism --- no-signalling --- parallel lives --- local polytope --- quantum nonlocality --- communication complexity --- optimization --- KS Box --- PR Box --- Non-contextuality inequality --- discrete-variable states --- continuous-variable states --- quantum teleportation of unknown qubit --- hybrid entanglement --- collapse of the quantum state --- quantum nonlocality --- communication complexity --- quantum nonlocality --- Bell test --- device-independent --- p-value --- hypothesis testing --- nonsignaling --- EPR steering --- quantum correlation --- non-locality --- entanglement --- uncertainty relations --- nonlocality --- entanglement --- quantum

One Hundred Years of General Relativity:From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity

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ISBN: 9789814635134 Year: Volume: 1 Pages: 720 DOI: 10.1142/9389-vol1 Language: ENGLISH
Publisher: World Scientific Publishing Co.
Added to DOAB on : 2019-07-04 08:59:32

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The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory:Genesis, Solutions and EnergyEmpirical FoundationsGravitational WavesCosmologyQuantum GravityThe first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.

One Hundred Years of General Relativity:From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity

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ISBN: 9789814678506 Year: Volume: 2 Pages: 636 DOI: 10.1142/9389-vol2 Language: ENGLISH
Publisher: World Scientific Publishing Co.
Added to DOAB on : 2019-07-04 09:01:47

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The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory:Genesis, Solutions and EnergyEmpirical FoundationsGravitational WavesCosmologyQuantum GravityThe first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.

Ultrafast nonlinear silicon waveguides and quantum dot semiconductor optical amplifiers

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Book Series: Karlsruhe Series in Photonics & Communications / Karlsruhe Institute of Technology, Institute of Photonics and Quantum Electronics (IPQ) ISSN: 18651100 ISBN: 9783866447486 Year: Volume: 7 Pages: VII, 260 p. DOI: 10.5445/KSP/1000024381 Language: GERMAN
Publisher: KIT Scientific Publishing
Subject: Technology (General)
Added to DOAB on : 2019-07-30 20:01:58
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In this book, nonlinear silicon-organic hybrid waveguides and quantum dot semiconductor optical amplifiers are investigated. Advantageous applications are identified, and corresponding proof-of-principle experiments are performed. Highly nonlinear silicon-organic hybrid waveguides show potential for all-optical signal processing based on fourwave mixing and cross-phase modulation. Quantum dot semiconductor optical amplifiers operate as linear amplifiers with a very large dynamic range.

Charge Transport in DNA - Insights from Simulations

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ISBN: 9783731500827 Year: Pages: VI, 139 p. DOI: 10.5445/KSP/1000036065 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Chemistry (General)
Added to DOAB on : 2019-07-30 20:02:00
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Charge transport and charge transfer (CT) capabilities of deoxyribonucleic acid (DNA) are investigated. A QM/MM multi-scale framework is applied to calculate the CT capabilities of DNA under conditions resembling the experimental setup. The simulations are able to explain and predict the outcome of experiments and therefore make suggestions in advance. Based on the findings, suitable DNA sequences can be opted for the design of DNA-based devices as nano-scale electronic elements.

Density Functional Calculations - Recent Progresses of Theory and Application

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ISBN: 9781789231328 9781789231335 Year: Pages: 272 DOI: 10.5772/intechopen.68548 Language: English
Publisher: IntechOpen
Subject: Chemistry (General)
Added to DOAB on : 2019-10-03 07:51:51

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Density functional theory (DFT) ranks as the most widely used quantum mechanical method and plays an increasingly larger role in a number of disciplines such as chemistry, physics, material, biology, and pharmacy. DFT has long been used to complement experimental investigations, while now it is also regarded as an indispensable and powerful tool for researchers of different fields. This book is divided into five sections that include original chapters written by experts in their fields: ""Method Development and Validation,"" ""Spectra and Thermodynamics,"" ""Catalysis and Mechanism,"" ""Material and Molecular Design,"" and ""Multidisciplinary Integration."" I would like to express my sincere gratitude to all contributors and recommend this book to both beginners and experienced researchers.

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