A first course in the sporadic SICs / Blake C. Stacey.

Format:

Book

Author/Creator:

Stacey, Blake C., author.

Series:

SpringerBriefs in mathematical physics ; v. 41.

Springer Briefs in Mathematical Physics ; Volume 41

Language:

English

Subjects (All):

Quantum theory--Mathematics.

Quantum theory.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (black & white).

Place of Publication:

Cham, Switzerland : Springer, [2021]

System Details:

text file PDF

Summary:

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.

Contents:

Equiangular Lines

Sporadic SICs and the Exceptional Lie Algebras

The Hoggar-type SICs.-SICs as Equicoherent Quantum States

SICs and Bell Inequalities.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from digital title page (viewed on June 15, 2021).

ISBN:

9783030761042

3030761045

9783030761059

3030761053

OCLC:

1253477267

Access Restriction:

Restricted for use by site license.