On non-commutative operator graphs generated by covariant resolutions of identity

Autor:	Amosov, G. G., Mokeev, A. S.
Rok vydání:	2018
Předmět:	Quantum Physics
Zdroj:	Quantum Inf. Process. (2018) 17:325
Druh dokumentu:	Working Paper
Popis:	We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors. Comment: 13 pages, based upon the talk at International conference "Quantum information, statistics, probability" with a special session dedicated to A. S. Holevo's 75-th birthday
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.08586 Zobrazit plný text záznamu View this record from Arxiv