<ul><li>Researchers have conducted a study on the quantum channel version of Shannon’s zero-error capacity problem.</li><li>They propose to consider a certain operator space as the quantum generalisation of the adjacency matrix, which allows for the formulation of plain, quantum, and entanglement-assisted capacity.</li><li>They introduce a quantum version of Lovasz’ theta function, which upper bounds the number of entanglement-assisted zero-error messages.</li><li>The function is given by a semidefinite programme and is multiplicative with respect to the natural graph product.</li></ul>

New Research on Lovasz theta function part1(AI 2024)

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