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Information Theory in Neuroscience

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ISBN: 9783038976646 Year: Pages: 280 DOI: 10.3390/books978-3-03897-665-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics --- Science (General)
Added to DOAB on : 2019-03-21 15:50:41
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As the ultimate information processing device, the brain naturally lends itself to being studied with information theory. The application of information theory to neuroscience has spurred the development of principled theories of brain function, and has led to advances in the study of consciousness, as well as to the development of analytical techniques to crack the neural code—that is, to unveil the language used by neurons to encode and process information. In particular, advances in experimental techniques enabling the precise recording and manipulation of neural activity on a large scale now enable for the first time the precise formulation and the quantitative testing of hypotheses about how the brain encodes and transmits the information used for specific functions across areas. This Special Issue presents twelve original contributions on novel approaches in neuroscience using information theory, and on the development of new information theoretic results inspired by problems in neuroscience.

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

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