Search results: Found 2

Listing 1 - 2 of 2
Sort by
Information Decomposition of Target Effects from Multi-Source Interactions

Authors: --- --- ---
ISBN: 9783038970156 9783038970163 Year: Pages: 336 DOI: 10.3390/books978-3-03897-016-3 Language: englisch
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics --- Physics (General)
Added to DOAB on : 2018-09-04 13:22:10
License:

Loading...
Export citation

Choose an application

Abstract

Using Shannon information theory to analyse the contributions from two source variables to a target, for example, we can measure the information held by one source about the target, the information held by the other source about the target, and the information held by those sources together about the target. Intuitively, however, there is strong desire to measure further notions of how this directed information interaction may be decomposed, e.g., how much information the two source variables hold redundantly about the target, how much each source variable holds uniquely, and how much information can only be discerned by synergistically examining the two sources together.The absence of measures for such decompositions into redundant, unique and synergistic information is arguably the most fundamental missing piece in classical information theory. Triggered by the formulation of the Partial Information Decomposition framework by Williams and Beer in 2010, the past few years have witnessed a concentration of work by the community in proposing, contrasting, and investigating new measures to capture these notions of information decomposition.This Special Issue seeks to bring together these efforts, to capture a snapshot of the current research, as well as to provide impetus for and focused scrutiny on newer work, present progress to the wider community and attract further research. Our contributions present: several new approaches for measures of such decompotions; commentary on properties, interpretations and limitations of such approaches; and applications to empirical data (in particular to neural data).

Quantum Information and Foundations

Authors: ---
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
License:

Loading...
Export citation

Choose an application

Abstract

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

Listing 1 - 2 of 2
Sort by
Narrow your search

Publisher

MDPI - Multidisciplinary Digital Publishing Institute (2)


License

CC by-nc-nd (2)


Language

englisch (1)

english (1)


Year
From To Submit

2020 (1)

2018 (1)