Genuinely Entangled Subspaces

Maciej Demianowicz
January 31st, 2019 MACIEJ DEMIANOWICZ Politechnika Gdanska

Unextendible product bases (UPBs) are interesting mathematical objects arising in composite Hilbert spaces that have found various applications in quantum information theory, for instance in a construction of bound entangled states or Bell inequalities without quantum violation. They are closely related to another important notion, completely entangled subspaces (CESs), which are those that do not contain any fully separable pure state. Among CESs one finds a class of subspaces in which all vectors are not only entangled but genuinely entangled. Here we explore the connection between UPBs and such genuinely entangled subspaces (GESs) and provide classes of nonorthogonal UPBs that lead to GESs for any number of parties and local dimensions. We then show how these subspaces can be immediately utilized for a simple general construction of genuinely entangled states in any such multipartite scenario. Futher, we present methods for computing the entanglement of the constructed GESs.

Seminar, January 31, 2018, 12:00. ICFO’s Seminar Room

Hosted by Prof. Antonio Acín