205 citations · 618 across the 31 of their papers we have counts for
31 papers
The fluid limit of a random graph model for a shared ledger
Christopher King
A shared ledger is a record of transactions that can be updated by any member of a group of users. The notion of independent and consistent record-keeping in a shared ledger is imp…
Potential output purity of completely positive maps
Christopher King
The notion of potential output purity of a completely positive map is introduced as a generalization of the regularized output purity. An upper bound is derived for this quantity,…
Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm
Salman Beigi, Christopher King
We develop the notions of hypercontractivity (HC) and the log-Sobolev (LS) inequality for completely bounded norms of one-parameter semigroups of super-operators acting on matrix a…
Multiplicativity of superoperator norms for some entanglement breaking channels
Christopher King
It is known that the minimal output entropy is additive for any product of entanglement breaking (EB) channels. The same is true for the Renyi entropy, where additivity is equivale…
Hypercontractivity for semigroups of unital qubit channels
Christopher King
Hypercontractivity is proved for products of qubit channels that belong to self-adjoint semigroups. The hypercontractive bound gives necessary and sufficient conditions for a produ…
Average output entropy for quantum channels
Christopher King, David K. Moser
We study the regularized average Renyi output entropy $\bar{S}_{r}^{\reg}$ of quantum channels. This quantity gives information about the average noisiness of the channel output ar…