Finite and Profinite Quantum Systems

Nonfiction, Science & Nature, Science, Physics, Optics, Quantum Theory
Cover of the book Finite and Profinite Quantum Systems by Apostolos Vourdas, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Apostolos Vourdas ISBN: 9783319594958
Publisher: Springer International Publishing Publication: July 17, 2017
Imprint: Springer Language: English
Author: Apostolos Vourdas
ISBN: 9783319594958
Publisher: Springer International Publishing
Publication: July 17, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Web and Big Data by Apostolos Vourdas
Cover of the book Applied Artificial Intelligence: Where AI Can Be Used In Business by Apostolos Vourdas
Cover of the book Inequalities by Apostolos Vourdas
Cover of the book Voting Procedures for Electing a Single Candidate by Apostolos Vourdas
Cover of the book Surgery of Complex Abdominal Wall Defects by Apostolos Vourdas
Cover of the book R2P and the US Intervention in Libya by Apostolos Vourdas
Cover of the book Surfaces in Classical Geometries by Apostolos Vourdas
Cover of the book Ecology of Central European Non-Forest Vegetation: Coastal to Alpine, Natural to Man-Made Habitats by Apostolos Vourdas
Cover of the book Industry 4.0 and Engineering for a Sustainable Future by Apostolos Vourdas
Cover of the book Normativity in Legal Sociology by Apostolos Vourdas
Cover of the book Malignant Pediatric Bone Tumors - Treatment & Management by Apostolos Vourdas
Cover of the book Incompetency and Competency Training by Apostolos Vourdas
Cover of the book VipIMAGE 2017 by Apostolos Vourdas
Cover of the book The Hardy Space H1 with Non-doubling Measures and Their Applications by Apostolos Vourdas
Cover of the book Cloud Computing and Security by Apostolos Vourdas
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy