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This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019. The shuffle approach to D...Savoir plus
This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand t...Savoir plus
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The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of t...Savoir plus
This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study ...Savoir plus
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Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic...Savoir plus
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This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT)...Savoir plus
Hermite's theorem makes it known that there are three levels of mathematical frames in which a simple addition formula is valid. They are rational, q-...Savoir plus
This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices....Savoir plus
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This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It...Savoir plus
This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insul...Savoir plus
This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conforma...Savoir plus
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In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics ...Savoir plus
This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension...Savoir plus
This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual c...Savoir plus
This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extrem...Savoir plus
This book is the first one that provides a solid bridge between algorithmic information theory and statistical mechanics. Algorithmic information theo...Savoir plus
In mathematical physics, one of the fascinating issues is the study of integrable systems. In particular, non-perturbative techniques that have been d...Savoir plus