Finite and Profinite Quantum Systems - Couverture rigide
Livre 8 sur 20: Quantum Science and Technology
Synopsis
This monograph provides an introduction to finite quantum systems, a field at the interface between quantum information and number theory, with applications in quantum computation and condensed matter physics.
The first major part of this monograph studies the so-called `qubits' and `qudits', systems with periodic finite lattice as position space. It also discusses the so-called mutually unbiased bases, which have applications in quantum information and quantum cryptography. Quantum logic and its applications to quantum gates is also studied.
The second part studies finite quantum systems, where the position takes values in a Galois field. This combines quantum mechanics with Galois theory. The third part extends the discussion to quantum systems with variables in profinite groups, considering the limit where the dimension of the system becomes very large. It uses the concepts of inverse and direct limit and studies quantum mechanics on p-adic numbers.
Applications of the formalism include quantum optics and quantum computing, two-dimensional electron systems in magnetic fields and the magnetic translation group, the quantum Hall effect, other areas in condensed matter physics, and Fast Fourier Transforms.
The monograph combines ideas from quantum mechanics with discrete mathematics, algebra, and number theory. It is suitable for graduate students and researchers in quantum physics, mathematics and computer science.Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Apostolos Vourdas is a Professor of Computing at the University of Bradford, UK, with research interests spanning various aspects of quantum computing (analytic functions in quantum physics; algebraic and group theory methods; finite quantum systems; Galois fields and p-adic numbers in quantum computing; quantum logic and lattice theory). He has published over 160 refereed journal papers and 8 invited review articles, and has an h-index of 34.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Finite and Profinite Quantum Systems.
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Cham, Springer., 2017
ISBN 10 : 331959494X
ISBN 13 : 9783319594941
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Couverture rigide
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Finite and Profinite Quantum Systems
Edité par
Springer, 2017
ISBN 10 : 331959494X
ISBN 13 : 9783319594941
Ancien ou d'occasion
Couverture rigide
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Finite and Profinite Quantum Systems
Edité par
Springer International Publishing Jul 2017, 2017
ISBN 10 : 331959494X
ISBN 13 : 9783319594941
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph provides an introduction to finite quantum systems, a field at the interface between quantum information and number theory, with applications in quantum computation and condensed matter physics.The first major part of this monograph studies the so-called `qubits' and `qudits', systems with periodic finite lattice as position space. It also discusses the so-called mutually unbiased bases, which have applications in quantum information and quantum cryptography. Quantum logic and its applications to quantum gates is also studied.The second part studies finite quantum systems, where the position takes values in a Galois field. This combines quantum mechanics with Galois theory. The third part extends the discussion to quantum systems with variables in profinite groups, considering the limit where the dimension of the system becomes very large. It uses the concepts of inverse and direct limit and studies quantum mechanics on p-adic numbers.Applications of the formalism include quantum optics and quantum computing, two-dimensional electron systems in magnetic fields and the magnetic translation group, the quantum Hall effect, other areas in condensed matter physics, and Fast Fourier Transforms.The monograph combines ideas from quantum mechanics with discrete mathematics, algebra, and number theory. It is suitable for graduate students and researchers in quantum physics, mathematics and computer science. 212 pp. Englisch. N° de réf. du vendeur 9783319594941
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Finite and Profinite Quantum Systems
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Finite and Profinite Quantum Systems (Hardcover)
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Springer International Publishing AG, Cham, 2017
ISBN 10 : 331959494X
ISBN 13 : 9783319594941
Neuf
Couverture rigide
Edition originale
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Hardcover. Etat : new. Hardcover. This monograph provides an introduction to finite quantum systems, a field at the interface between quantum information and number theory, with applications in quantum computation and condensed matter physics.The first major part of this monograph studies the so-called `qubits' and `qudits', systems with periodic finite lattice as position space. It also discusses the so-called mutually unbiased bases, which have applications in quantum information and quantum cryptography. Quantum logic and its applications to quantum gates is also studied. The second part studies finite quantum systems, where the position takes values in a Galois field. This combines quantum mechanics with Galois theory. The third part extends the discussion to quantum systems with variables in profinite groups, considering the limit where the dimension of the system becomes very large. It uses the concepts of inverse and direct limit and studies quantum mechanics on p-adic numbers.Applications of the formalism include quantum optics and quantum computing, two-dimensional electron systems in magnetic fields and the magnetic translation group, the quantum Hall effect, other areas in condensed matter physics, and Fast Fourier Transforms.The monograph combines ideas from quantum mechanics with discrete mathematics, algebra, and number theory. It is suitable for graduate students and researchers in quantum physics, mathematics and computer science. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783319594941
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Finite and Profinite Quantum Systems
Edité par
Springer International Publishing, 2017
ISBN 10 : 331959494X
ISBN 13 : 9783319594941
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a unique overview of finite quantum systems in a pedagogical form suitable for advanced students and researchers alike, presenting theory complemented with examplesOffers an introduction to the field at a time of current inte. N° de réf. du vendeur 150408445
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Finite and Profinite Quantum Systems
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Hardcover. Etat : Brand New. 196 pages. 9.50x6.25x0.75 inches. In Stock. N° de réf. du vendeur x-331959494X
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