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

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

9783030761042 (electronic bk.)
3030761045 (electronic bk.)
9783030761059 (print)
3030761053
3030761037
9783030761035

Cham, Switzerland : Springer, [2021]

English

1 online resource : illustrations (black and white).

10.1007/978-3-030-76104-2 doi

QC174.17.M4 S73 2021

530.801

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.

Includes bibliographical references and index.

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Online resource; title from digital title page (viewed on June 15, 2021).

SpringerBriefs in mathematical physics ; v. 41.

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