Results 11 to 20 of about 80,256 (169)

Reversibility conditions for quantum channels and their applications

, 2013
A necessary condition for reversibility (sufficiency) of a quantum channel with respect to complete families of states with bounded rank is obtained. A full description (up to isometrical equivalence) of all quantum channels reversible with respect to ...
A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, C. King, M E Shirokov, M. A. Nielsen, M. E. Shirokov, M. E. Shirokov, N. I. Akhiezer, N. I. Akhiezer   +13 more
core   +1 more source

A Unified Algebraic Approach to Classical Yang-Baxter Equation

, 2007
In this paper, the different operator forms of classical Yang-Baxter equation are given in the tensor expression through a unified algebraic method.
Bakalov B, Balinskii A A, Chapoton F, Chari V, Chengming Bai, Diatta A Medina A, Drinfel'd V, Etingof P, Faddeev L D, Faddeev L D, Jacobson N, Kaneyuki S, Kim H, Koszul J-L, Kupershmidt B A, Medina A, Schouten J A, Vinberg E B, Winterhalder A, Zel'manov E I   +19 more
core   +2 more sources

The classification problem for automorphisms of C*-algebras [PDF]

, 2015
We present an overview of the recent developments in the study of the classification problem for automorphisms of C*-algebras from the perspective of Borel complexity theory.Comment: 21 ...
Lupini, Martino
core   +2 more sources

Ola Bratteli and his diagrams [PDF]

, 2019
This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his outstanding mathematical accomplishments.Comment: 18 pages, 15 ...
Bratteli, Tone, Digernes, Trond, Elliott, George, Evans, David E., Jorgensen, Palle E., Kishimoto, Aki, Landstad, Magnus B., Robinson, Derek, Størmer, Erling   +8 more
core   +4 more sources

The pre-Lie structure of the time-ordered exponential

, 2013
The usual time-ordering operation and the corresponding time-ordered exponential play a fundamental role in physics and applied mathematics. In this work we study a new approach to the understanding of time-ordering relying on recent progress made in the
Ebrahimi-Fard, Kurusch, Patras, Frederic
core   +3 more sources

Dilations of frames, operator valued measures and bounded linear maps

, 2014
We will give an outline of the main results in our recent AMS Memoir, and include some new results, exposition and open problems. In that memoir we developed a general dilation theory for operator valued measures acting on Banach spaces where operator ...
Han, Deguang, Larson, David R., Liu, Bei, Liu, Rui   +3 more
core   +1 more source

Vertex operator algebra with two τ-involutions generating S[3] [PDF]

, 2003
The notion of vertex operator algebras(VOAs) isintroduced in [B,FLM]. The most interesting example of vertex operator algebras is the Moonshine VOA V ...Thesis (Ph. D. in Mathematics)--University of Tsukuba, (A), no.
Sakuma Shinya, 佐久間 伸也
core  

Free Rota-Baxter algebras and rooted trees

, 2008
A Rota-Baxter algebra, also known as a Baxter algebra, is an algebra with a linear operator satisfying a relation, called the Rota-Baxter relation, that generalizes the integration by parts formula.
Aguiar M., Aguiar M., Ebrahimi-Fard E., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Guo L., Guo L., Guo L., Holtkamp R., KURUSCH EBRAHIMI-FARD, LI GUO, Loday J.-L., Pirashvili T., Rota G., Rota G.   +18 more
core   +2 more sources

Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory [PDF]

, 2008
We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of ...
Kong, Liang, Runkel, Ingo
core   +3 more sources

Some open problems in mathematical two-dimensional conformal field theory

, 2017
We discuss some open problems in a program of constructing and studying two-dimensional conformal field theories using the representation theory of vertex operator algebras.Comment: 16 pages. Typos are corrected and some sentences are adjusted.
Huang, Yi-Zhi
core   +1 more source