Autor:	Weaver, Nik
Rok vydání:	2018
Předmět:	Mathematics - Operator Algebras Mathematics - Combinatorics Mathematics - Functional Analysis Mathematics - Rings and Algebras Quantum Physics
Druh dokumentu:	Working Paper
Popis:	Let V be a linear subspace of M_n(C) which contains the identity matrix and is stable under Hermitian transpose. A "quantum k-clique" for V is a rank k orthogonal projection P in M_n(C) for which dim(PVP) = k^2, and a "quantum k-anticlique" is a rank k orthogonal projection for which dim(PVP) = 1. We give upper and lower bounds both for the largest dimension of V which would ensure the existence of a quantum k-anticlique, and for the smallest dimension of V which would ensure the existence of a quantum k-clique. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.07394 Zobrazit plný text záznamu View this record from Arxiv