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Catarina Bastos, Alex E Bernardini, Orfeu Bertolami, Nuno Costa Dias, and João Nuno Prata (2015)

Robertson-Schr\"odinger formulation of Ozawa's Uncertainty Principle

A more general measurement disturbance uncertainty principle is presented in a Robertson-Schrödinger formulation. It is shown that it is stronger and having nicer properties than Ozawa's uncertainty relations. In particular it is invariant under symplectic transformations. One shows also that there are states of the probe (measuring device) that saturate the matrix formulation of measurement disturbance uncertainty principle.