Quantum Information and Foundations

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 metrol...

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Main Authors: D'Ariano, Giacomo Mauro, Perinotti, Paolo
Formato: Online
Idioma:inglés
Publicado: MDPI - Multidisciplinary Digital Publishing Institute 2021
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Acceso en liña:44843
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author D'Ariano, Giacomo Mauro
Perinotti, Paolo
author_browse D'Ariano, Giacomo Mauro
Perinotti, Paolo
author_facet D'Ariano, Giacomo Mauro
Perinotti, Paolo
author_sort D'Ariano, Giacomo Mauro
collection Directory of Open Access Books
description 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.
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spelling doab-20.500.12854ir-574502023-12-20T18:40:38Z Quantum Information and Foundations D'Ariano, Giacomo Mauro Perinotti, Paolo QA1-939 Q1-390 quantum walks continuous-variable systems incompatible frameworks X-rays path summation characterization of unitary group and state spaces X-ray spectroscopy qubit pair entangled pure state exchange coupling independence of random quantum sources Gaussian states complementarity causal sets Thirring model probabilities in quantum measurements quantum computation limited information silicon drift detector consistent histories complexity classes commuting subalgebras entanglement quantum foundations Hubbard model measurement uncertainty relations Jordan algebras quantum gravity the measurement problem generalised probabilistic theories quantum measurements conservation of information relative entropy adiabatic quantum computing reconstruction of quantum theory quantum control sampling-based learning control (SLC) single framework rule probability theory inference purity entropy macroscopic quantum measurement purification quantum annealing Wigner-friend experiment Shannon information underground experiment no-go theorem entropic gravity group representations quantum non-locality higher-order interference causality blind source separation (BSS) multipartite entanglement Hadamard matrix quantum theory and gravity conjugate systems classical context classical limit agent subsystem interpretations of quantum mechanics collapse models quantum measurement quantum mechanics binary optimization algebraic quantum theory gelfand duality bohrification Fermion quantum information unentanglement criterion semiclassical physics relativity Pauli exclusion principle position physical computing models braid group reconstruction of quantum mechanics C*-algebra Euclidean Jordan algebras quantum correlations percolation conserved informational charges quantum estimation monogamy hard problems iterant process theory Gaussian unitary operations momentum matrix algebra cluster states quantum genetic algorithm discrete spacetime quantum relative entropy Dirac equation Clifford algebra bic Book Industry Communication::P Mathematics & science 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. 2021-02-12T00:35:31Z 2021-02-12T00:35:31Z 2020-04-07 23:07:09 2020 book 44843 9783039283811 9783039283804 https://directory.doabooks.org/handle/20.500.12854/57450 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/2120 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03928-381-1 10.3390/books978-3-03928-381-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039283811 9783039283804 508 open access
spellingShingle QA1-939
Q1-390
quantum walks
continuous-variable systems
incompatible frameworks
X-rays
path summation
characterization of unitary group and state spaces
X-ray spectroscopy
qubit pair
entangled pure state
exchange coupling
independence of random quantum sources
Gaussian states
complementarity
causal sets
Thirring model
probabilities in quantum measurements
quantum computation
limited information
silicon drift detector
consistent histories
complexity classes
commuting subalgebras
entanglement
quantum foundations
Hubbard model
measurement uncertainty relations
Jordan algebras
quantum gravity
the measurement problem
generalised probabilistic theories
quantum measurements
conservation of information
relative entropy
adiabatic quantum computing
reconstruction of quantum theory
quantum control
sampling-based learning control (SLC)
single framework rule
probability theory
inference
purity
entropy
macroscopic quantum measurement
purification
quantum annealing
Wigner-friend experiment
Shannon information
underground experiment
no-go theorem
entropic gravity
group representations
quantum non-locality
higher-order interference
causality
blind source separation (BSS)
multipartite entanglement
Hadamard matrix
quantum theory and gravity
conjugate systems
classical context
classical limit
agent
subsystem
interpretations of quantum mechanics
collapse models
quantum measurement
quantum mechanics
binary optimization
algebraic quantum theory
gelfand duality
bohrification
Fermion
quantum information
unentanglement criterion
semiclassical physics
relativity
Pauli exclusion principle
position
physical computing models
braid group
reconstruction of quantum mechanics
C*-algebra
Euclidean Jordan algebras
quantum correlations
percolation
conserved informational charges
quantum estimation
monogamy
hard problems
iterant
process theory
Gaussian unitary operations
momentum
matrix algebra
cluster states
quantum genetic algorithm
discrete spacetime
quantum relative entropy
Dirac equation
Clifford algebra
bic Book Industry Communication::P Mathematics & science
D'Ariano, Giacomo Mauro
Perinotti, Paolo
Quantum Information and Foundations
title Quantum Information and Foundations
title_full Quantum Information and Foundations
title_fullStr Quantum Information and Foundations
title_full_unstemmed Quantum Information and Foundations
title_short Quantum Information and Foundations
title_sort quantum information and foundations
topic QA1-939
Q1-390
quantum walks
continuous-variable systems
incompatible frameworks
X-rays
path summation
characterization of unitary group and state spaces
X-ray spectroscopy
qubit pair
entangled pure state
exchange coupling
independence of random quantum sources
Gaussian states
complementarity
causal sets
Thirring model
probabilities in quantum measurements
quantum computation
limited information
silicon drift detector
consistent histories
complexity classes
commuting subalgebras
entanglement
quantum foundations
Hubbard model
measurement uncertainty relations
Jordan algebras
quantum gravity
the measurement problem
generalised probabilistic theories
quantum measurements
conservation of information
relative entropy
adiabatic quantum computing
reconstruction of quantum theory
quantum control
sampling-based learning control (SLC)
single framework rule
probability theory
inference
purity
entropy
macroscopic quantum measurement
purification
quantum annealing
Wigner-friend experiment
Shannon information
underground experiment
no-go theorem
entropic gravity
group representations
quantum non-locality
higher-order interference
causality
blind source separation (BSS)
multipartite entanglement
Hadamard matrix
quantum theory and gravity
conjugate systems
classical context
classical limit
agent
subsystem
interpretations of quantum mechanics
collapse models
quantum measurement
quantum mechanics
binary optimization
algebraic quantum theory
gelfand duality
bohrification
Fermion
quantum information
unentanglement criterion
semiclassical physics
relativity
Pauli exclusion principle
position
physical computing models
braid group
reconstruction of quantum mechanics
C*-algebra
Euclidean Jordan algebras
quantum correlations
percolation
conserved informational charges
quantum estimation
monogamy
hard problems
iterant
process theory
Gaussian unitary operations
momentum
matrix algebra
cluster states
quantum genetic algorithm
discrete spacetime
quantum relative entropy
Dirac equation
Clifford algebra
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Q1-390
quantum walks
continuous-variable systems
incompatible frameworks
X-rays
path summation
characterization of unitary group and state spaces
X-ray spectroscopy
qubit pair
entangled pure state
exchange coupling
independence of random quantum sources
Gaussian states
complementarity
causal sets
Thirring model
probabilities in quantum measurements
quantum computation
limited information
silicon drift detector
consistent histories
complexity classes
commuting subalgebras
entanglement
quantum foundations
Hubbard model
measurement uncertainty relations
Jordan algebras
quantum gravity
the measurement problem
generalised probabilistic theories
quantum measurements
conservation of information
relative entropy
adiabatic quantum computing
reconstruction of quantum theory
quantum control
sampling-based learning control (SLC)
single framework rule
probability theory
inference
purity
entropy
macroscopic quantum measurement
purification
quantum annealing
Wigner-friend experiment
Shannon information
underground experiment
no-go theorem
entropic gravity
group representations
quantum non-locality
higher-order interference
causality
blind source separation (BSS)
multipartite entanglement
Hadamard matrix
quantum theory and gravity
conjugate systems
classical context
classical limit
agent
subsystem
interpretations of quantum mechanics
collapse models
quantum measurement
quantum mechanics
binary optimization
algebraic quantum theory
gelfand duality
bohrification
Fermion
quantum information
unentanglement criterion
semiclassical physics
relativity
Pauli exclusion principle
position
physical computing models
braid group
reconstruction of quantum mechanics
C*-algebra
Euclidean Jordan algebras
quantum correlations
percolation
conserved informational charges
quantum estimation
monogamy
hard problems
iterant
process theory
Gaussian unitary operations
momentum
matrix algebra
cluster states
quantum genetic algorithm
discrete spacetime
quantum relative entropy
Dirac equation
Clifford algebra
bic Book Industry Communication::P Mathematics & science
url 44843
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