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arXiv · 1310.4762

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

Catarina Bastos·Alex E. Bernardini·Orfeu Bertolami·Nuno Costa Dias·Joao Nuno Prata
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Abstract

In this work we derive a matrix formulation of a noise-disturbance uncertainty relation, which is akin to the Robertson-Schrödinger 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.

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Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami, Nuno Costa Dias, Joao Nuno Prata. 2013-10-17. Robertson-Schroedinger type formulation of Ozawa's noise-disturbance uncertainty principle. https://doi.org/10.1103/physreva.89.042112

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