A First Course in the Sporadic SICs

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Synopsis

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.

Book details

Edition:
1st ed. 2021
Series:
SpringerBriefs in Mathematical Physics (Book 41)
Author:
Blake C. Stacey
ISBN:
9783030761042
Related ISBNs:
9783030761035
Publisher:
Springer International Publishing
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2021-06-27
Usage restrictions:
Copyright
Copyright date:
2021
Copyright by:
The Author 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction, Science