A First Course in the Sporadic SICs

1. Auflage 2021
ISBN: 978-3-030-76103-5
Verlag: Springer International Publishing

Buch, Englisch, Band 41, 115 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g

Reihe: SpringerBriefs in Mathematical Physics

This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the other known SICs, while by others they are simply atypical. The author forays into quantum information theory using them as examples, and the author explores their connections with other exceptional objects like the Leech lattice and integral octonions. The sporadic SICs take readers from the classification of finite simple groups to Bell's theorem and the discovery that "hidden variables" cannot explain away quantum uncertainty.
While no one department teaches every subject to which the sporadic SICs pertain, the topic is approachable without too much background knowledge. The book includes exercises suitable for an elective at the graduate or advanced undergraduate level.

Zielgruppe

Research

Autoren/Hrsg.

Stacey, Blake C.

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Equiangular Lines.- Sporadic SICs and the Exceptional Lie Algebras.- The Hoggar-type SICs.-SICs as Equicoherent Quantum States.- SICs and Bell Inequalities.

Über Autor(innen)

Blake C. Stacey studied physics at MIT and Brandeis and currently researches quantum information theory at the University of Massachusetts Boston.