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Bounds on Entanglement-Assisted Source-Channel Coding via the Lovász \(\vartheta \) Number and Its Variants

Toby Cubitt, Laura Mancinska, David E. Roberson, Simone Severini, Dan Stahlke, Andreas Winter
2014 IEEE Transactions on Information Theory  
We study zero-error entanglement assisted source-channel coding (communication in the presence of side information).  ...  Therefore, we are able to disprove the conjecture that the one-shot entanglement-assisted zero-error capacity is equal to the integer part of the Lovász number.  ...  This ends up exactly characterizing monotonicity of ϑ, and shows that ϑ can be used to provide a lower bound on the cost rate for entanglement assisted source-channel coding.  ... 
doi:10.1109/tit.2014.2349502 fatcat:nxd7nehamfe7tlos6zse6g3vpu