Speed limits and locality in many-body quantum dynamics

CFA Chen, A Lucas, C Yin - Reports on Progress in Physics, 2023 - iopscience.iop.org
We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

An introduction to matrix concentration inequalities

JA Tropp - Foundations and Trends® in Machine Learning, 2015 - nowpublishers.com
Random matrices now play a role in many areas of theoretical, applied, and computational
mathematics. Therefore, it is desirable to have tools for studying random matrices that are …

[BOOK][B] Trace ideals and their applications

B Simon - 2005 - books.google.com
From a review of the first edition: Beautifully written and well organized... indispensable for
those interested in certain areas of mathematical physics... for the expert and beginner alike …

User-friendly tail bounds for sums of random matrices

JA Tropp - Foundations of computational mathematics, 2012 - Springer
This paper presents new probability inequalities for sums of independent, random, self-
adjoint matrices. These results place simple and easily verifiable hypotheses on the …

Randomized numerical linear algebra: Foundations and algorithms

PG Martinsson, JA Tropp - Acta Numerica, 2020 - cambridge.org
This survey describes probabilistic algorithms for linear algebraic computations, such as
factorizing matrices and solving linear systems. It focuses on techniques that have a proven …

[BOOK][B] Topics in Banach space theory

F Albiac, NJ Kalton - 2006 - Springer
Graduate Texts in Mathematics bridge the gap between passive study and creative
understanding, offering graduate-level introductions to advanced topics in mathematics. The …

Non-commutative Lp-spaces

G Pisier, Q Xu - Handbook of the geometry of Banach spaces, 2003 - Elsevier
This survey is devoted to the theory of non-commutative L p-spaces. This theory (in the
tracial case) was laid out in the early 50's by Segal [181] and Dixmier [47](see also …

[BOOK][B] Factorization of linear operators and geometry of Banach spaces

G Pisier - 1986 - books.google.com
Page 1 conference board of the mathematical sciences MATHEMATICAL regional
conference series in mathematics number 60 AMERICAN ΑΓΕΩΜΕ ΤΡΗΤΟΣ ΜΗ …

[PDF][PDF] The dimension of almost spherical sections of convex bodies

J Lindenstrauss - Séminaire Maurey-Schwartz, 1977 - numdam.org
The dimension of almost spherical sections of convex bodies Page 1 Séminaire d’analyse
fonctionnelle École Polytechnique J. LINDENSTRAUSS The dimension of almost spherical …

Probabilistic methods in the geometry of Banach spaces

G Pisier - Probability and Analysis: Lectures given at the 1st 1985 …, 2006 - Springer
Probabilistic Methods ill th" Geometry of Banach Spaces by Gilles Pisier Universite Paris 6
Equipe d' Analyse Tour 4610, 4' Page 1 Probabilistic Methods ill th" Geometry of Banach …