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Robertson-Schrödinger-type formulation of Ozawa's noise-disturbance uncertainty principle

2014; American Physical Society; Volume: 89; Issue: 4 Linguagem: Inglês

10.1103/physreva.89.042112

1538-4446

Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami, Nuno Costa Dias, João Nuno Prata,

Cold Atom Physics and Bose-Einstein Condensates

In this work we derive a matrix formulation of a noise-disturbance uncertainty relation, which is akin to the Robertson-Schr\"odinger uncertainty principle. Our inequality is stronger than Ozawa's uncertainty principle and takes noise-disturbance correlations into account. Moreover, we show that, for certain types of measurement interactions, it is covariant with respect to linear symplectic transformations of the noise and disturbance operators.