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A First Course in the Sporadic SICs de Blake C. Stacey

A First Course in the Sporadic SICs: SpringerBriefs in Mathematical Physics, cartea 41

Autor Blake C. Stacey
en Limba Engleză Paperback – iun 2021
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.
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Specificații

ISBN-13: 9783030761035
ISBN-10: 3030761037
Pagini: 115
Ilustrații: VIII, 115 p. 7 illus., 2 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.19 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematical Physics

Locul publicării:Cham, Switzerland

Cuprins

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

Notă biografică

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

Caracteristici

Includes significant advances in the study of SIC quantum measurements, also known as maximal sets of complex equiangular lines Presents a comprehensive bibliography of SIC research Provides exceedingly easy problem to state with great resistance to general solution