Bounds on entanglement-assisted source-channel coding via the Lovász ϑ number and its variants

• Main Authors: Cubitt, Toby, Mancinska, Laura, Roberson, David E., Severini, Simone, Stahlke, Dan, Winter, Andreas
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2015
• Subjects: DRNTU::Engineering::Computer science and engineering::Information systems
• Online Access: https://hdl.handle.net/10356/103786; http://hdl.handle.net/10220/24586
• Institution: Nanyang Technological University

We study zero-error entanglement-assisted source-channel coding (communication in the presence of side information). Adapting a technique of Beigi, we show that such coding requires existence of a set of vectors satisfying orthogonality conditions related to suitably defined graphs G and H. Such vec...