Information-disturbance tradeoff in estimating a unitary transformation
Alessandro Bisio, Giulio Chiribella, Giacomo Mauro D’Ariano, Paolo Perinotti · Physical Review A · 2010
We address the problem of the information-disturbance tradeoff associated to the estimation of a quantum transformation and show how the extraction of information about a black box causes a perturbation of the corresponding input-output evolution. In the case of a black box performing a unitary transformation, randomly distributed according to the invariant measure, we give a complete solution of the problem, deriving the optimal tradeoff curve and presenting an explicit construction of the optimal quantum network.