Finite and Profinite Quantum Systems

• Κύριος συγγραφέας: Vourdas, Apostolos (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Quantum Science and Technology,
• Θέματα: Physics.; Quantum computers.; Discrete mathematics.; Mathematical physics.; Quantum physics.; Quantum optics.; Quantum Physics.; Quantum Computing.; Quantum Optics.; Discrete Mathematics.; Mathematical Physics.

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...

Πίνακας περιεχομένων:

• Mathematical symbols
• 1 Introduction
• 2 Partial orders and Pontryagin duality
• 3 The ring ℤ (d)
• 4 Quantum systems with variables in ℤ (d)
• 5 Finite Geometries and Mutually Unbiased Bases
• 6 Quantum logic of finite quantum systems
• 7 Galois fields
• 8 Quantum systems with variables in GF(pe)
• 9 p-adic numbers and profinite groups
• 10 A quantum system with positions in the profinite group ℤp
• 11 A quantum system with positions in the profinite group ℤ
• Index.