Joint higher rank numerical range of Pauli group

Autor:	Sayyed Ahmad Mousavi, Abbas Salemi
Rok vydání:	2014
Předmět:	Pure mathematics Algebra and Number Theory Rank (linear algebra) Dimension (vector space) Quantum error correction Qubit Pauli group Quantum channel Numerical range Hermitian matrix Mathematics
Zdroj:	Linear and Multilinear Algebra. 63:439-454
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081087.2013.872638
Popis:	For a noisy quantum channel, a quantum error correction code of dimension k exists if and only if the joint rank- numerical range associated with the error operators of the channel is non-empty. In this paper, the joint rank- numerical range of an -tuple of elements in the -qubit Pauli group are discussed. Let be a Hermitian triple in the -qubit Pauli group. We state a constructive method to obtain the joint rank- numerical range of . Moreover, we show that .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::00e57f794bb7ba8c7a55afe24f234c14 https://doi.org/10.1080/03081087.2013.872638 Zobrazit plný text záznamu