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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Oertel, Frank

Paperback

Series: Lecture Notes in Mathematics, Book 2349

General MathematicsPhysicsProbability & Statistics

ISBN10: 3031572009
ISBN13: 9783031572005
Publisher: Springer
Published: Sep 13 2024
Pages: 230
Weight: 0.78
Height: 0.52 Width: 6.14 Depth: 9.21
Language: English
This book concentrates on the famous Grothendieck inequality and the continued search for the still unknown best possible value of the real and complex Grothendieck constant (an open problem since 1953). It describes in detail the state of the art in research on this fundamental inequality, including Krivine's recent contributions, and sheds light on related questions in mathematics, physics and computer science, particularly with respect to the foundations of quantum theory and quantum information theory. Unifying the real and complex cases as much as possible, the monograph introduces the reader to a rich collection of results in functional analysis and probability. In particular, it includes a detailed, self-contained analysis of the multivariate distribution of complex Gaussian random vectors. The notion of Completely Correlation Preserving (CCP) functions plays a particularly important role in the exposition.

The prerequisites are a basic knowledge of standard functional analysis, complex analysis, probability, optimisation and some number theory and combinatorics. However, readers missing some background will be able to consult the generous bibliography, which contains numerous references to useful textbooks.

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