Title
Entanglement-Assisted Zero-Error Capacity Is Upper-Bounded By The Lovasz Theta Function
Abstract
The zero-error capacity of a classical channel is expressed in terms of the independence number of some graph and its tensor powers. This quantity is hard to compute even for small graphs such as the cycle of length seven, so upper bounds such as the Lovasz theta function play an important role in zero-error communication. In this paper, we show that the Lovasz theta function is an upper bound on the zero-error capacity even in the presence of entanglement between the sender and receiver.
Year
DOI
Venue
2010
10.1103/PhysRevA.82.010303
PHYSICAL REVIEW A
Keywords
Field
DocType
quantum mechanics,quantum entanglement,upper bound,theta function
Lovász number,Quantum entanglement,Tensor,Upper and lower bounds,Quantum mechanics,Theta function,Quantum state,Shannon capacity of a graph,Physics,Bounded function
Journal
Volume
Issue
ISSN
82
1
1050-2947
Citations 
PageRank 
References 
14
1.07
4
Authors
1
Name
Order
Citations
PageRank
Salman Beigi15611.43