A First Course in the Sporadic SICs

This book explores the Symmetric Informationally Complete (SIC) quantum measurements in dimensions 2 and 3, as well as one set in dimension 8, known as sporadic SICs. They are considered more approachable than other known SICs and are used to explore quantum information theory. The book also discusses their connections with other exceptional objects, such as the Leech lattice and integral octonions, and covers topics from finite simple groups to Bell's theorem and the impossibility of hidden variables explaining quantum uncertainty. The book is suitable for an elective course at the graduate or advanced undergraduate level.

Format: Paperback / softback
Length: 115 pages
Publication date: 01 June 2021
Publisher: Springer Nature Switzerland AG

This captivating book delves into the realm of Symmetric Informationally Complete (SIC) quantum measurements, focusing on dimensions 2 and 3, along with a single set in dimension 8. These remarkable objects, known as sporadic SICs, stand out in unique ways, earning them this distinguished moniker. While some may consider them more approachable than other known SICs, others view them as atypical.

The author embarks on a fascinating exploration of quantum information theory, utilizing these sporadic SICs as illustrative examples. Along the way, they unravel their intricate connections with other extraordinary objects, such as the Leech lattice and integral octonions. The sporadic SICs take readers on a journey, from the classification of finite simple groups to the groundbreaking insights of Bell's theorem and the realization that hidden variables cannot fully explain away the enigmatic nature of quantum uncertainty.

While the sporadic SICs touch upon various disciplines, they are accessible to readers with a moderate background in the field. The book includes a comprehensive set of exercises that cater to an elective course at the graduate or advanced undergraduate level, fostering a deeper understanding and application of these intriguing concepts.

Weight: 454g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030761035
Edition number: 1st ed. 2021