Unitary quantum gates, perfect entanglers, and unistochastic maps
Unitary quantum gates, perfect entanglers, and unistochastic maps
Non-local properties of ensembles of quantum gates induced by the Haar measure on the unitary group are investigated. We analyze the entropy of entanglement of a unitary matrix U equal to the Shannon entropy of the vector of singular values of the reshuffled matrix. Averaging the entropy over the Haar …