4 papers
Certified exact identification of the I3322 quantum value
Artus Krohn-Grimberghe
We determine the quantum value of the three-setting, two-outcome Bell functional I3322. The value is the unique intersection \(q_\dagger\) of an analytic A-high stable curve of the…
The entanglement of purification is not additive
Artus Krohn-Grimberghe
The entanglement of purification , introduced by Terhal, Horodecki, Leung, and DiVincenzo in 2002, measures the total correlations of a bipartite state by the entanglement nee…
Exact certification of a positive-order Rényi additivity violation for an explicit channel pair
Artus Krohn-Grimberghe
Cubitt, Harrow, Leung, Montanaro, and Winter (CHLMW) exhibited an explicit pair of quantum channels whose minimum output Rényi entropy is nonadditive at order zero, and reported nu…
A certified lower bound on the quantum-capacity threshold of the depolarizing channel
Artus Krohn-Grimberghe
The noise threshold below which the qubit depolarizing channel retains positive quantum capacity has been studied since 1996. The classic constructions come with exact finite formu…