Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Sunder, V."'
We define generalised notions of biunitary elements in planar algebras and show that objects arising in quantum information theory such as Hadamard matrices, quantum latin squares and unitary error bases are all given by biunitary elements in the spi
Externí odkaz:
http://arxiv.org/abs/1912.07228
We define a certain abstract planar algebra by generators and relations, study various aspects of its structure, and then identify it with Jones' spin planar algebra.
Comment: 11 pages, 12 figures
Comment: 11 pages, 12 figures
Externí odkaz:
http://arxiv.org/abs/1901.11191
Autor:
Sumesh, K., Sunder, V. S.
We consider the tensorial Schur product $R \circ^\otimes S = [r_{ij} \otimes s_{ij}]$ for $R \in M_n(\mathcal{A}), S\in M_n(\mathcal{B}),$ with $\mathcal{A}, \mathcal{B}$ unital $C^*$-algebras, verify that such a `tensorial Schur product' of positive
Externí odkaz:
http://arxiv.org/abs/1509.04884
This book is a compilation of notes from a two-week international workshop on the "The Functional Analysis of Quantum Information Theory" that was held at the Institute of Mathematical Sciences during 26/12/2011-06/01/2012. The workshop was devoted t
Externí odkaz:
http://arxiv.org/abs/1410.7188
Publikováno v:
AIP Conference Proceedings; 2024, Vol. 2853 Issue 1, p1-5, 5p
We begin this note with a von Neumann algebraic version of the elementary but extremely useful fact about being able to extend inner-product preserving maps from a total set of the domain Hilbert space to an isometry defined on the entire domain. Thi
Externí odkaz:
http://arxiv.org/abs/1211.2576
Autor:
Basu, Madhushree, Sunder, V. S.
In classical matrix theory, there exist useful extremal characterizations of eigenvalues and their sums for Hermitian matrices (due to Ky Fan, Courant-Fischer-Weyl and Wielandt) and some consequences such as the majorization assertion in Lidskii's th
Externí odkaz:
http://arxiv.org/abs/1210.7581
Publikováno v:
In Novel Drug Delivery Systems in the management of CNS Disorders 2025:321-331
We introduce a way of regarding Hilbert von Neumann modules as spaces of operators between Hilbert space, not unlike [Skei], but in an apparently much simpler manner and involving far less machinery. We verify that our definition is equivalent to tha
Externí odkaz:
http://arxiv.org/abs/1102.4663
We investigate a construction which associates a finite von Neumann algebra $M(\Gamma,\mu)$ to a finite weighted graph $(\Gamma,\mu)$. Pleasantly, but not surprisingly, the von Neumann algebra associated to to a `flower with $n$ petals' is the group
Externí odkaz:
http://arxiv.org/abs/1102.4413