Entanglement and the geometry of two qubits

Autor:	Oded Kenneth, Joseph E. Avron
Rok vydání:	2009
Předmět:	Quantum Physics Bell state FOS: Physical sciences General Physics and Astronomy Quantum entanglement Measure (mathematics) Teleportation Identity (music) Separable space Theoretical physics Simple (abstract algebra) Qubit Quantum Physics (quant-ph) Mathematics
Zdroj:	Annals of Physics. 324:470-496
ISSN:	0003-4916
Popis:	Two qubits is the simplest system where the notions of separable and entangled states and entanglement witnesses first appear. We give a three dimensional geometric description of these notions. This description however carries no quantitative information on the measure of entanglement. A four dimensional description captures also the entanglement measure. We give a neat formula for the Bell states which leads to a slick proof of the fundamental teleportation identity. We describe optimal distillation of two qubits geometrically and present a simple geometric proof of the Peres-Horodecki separability criterion. Added one figure and one reference. Added a key idenity for teleportation
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68a0f08c3a15f2088915ca9b4d5ff54a https://doi.org/10.1016/j.aop.2008.07.007 Zobrazit plný text záznamu Full Text from ScienceDirect