Symmetry between Measurements in Quantum Mechanics
March 3rd, 2020 SÉBASTIEN DESIGNOLLE Université de Genève

We show how the symmetry of a set of quantum measurements can be described by means of the so-called discrete bundles. The symmetries of various measurement sets that have been widely used in quantum information theory as well as for studying the foundations of quantum mechanics are determined and analysed. For instance, the insight gained from symmetry allows us to easily determine whether measurements in the set under noisy conditions can be regarded as genuinely distinct ones, i.e., incompatible. Conversely, starting from the symmetry described by a certain group, we show how new measurement sets can be constructed for applications in quantum information processing. As an advantage of such measurement sets, we show that several of them, despite being finite, can reveal quantum correlations that all dichotomic measurements cannot.

Seminar, March 3, 2020, 16:00. ICFO’s Blue Lecture Room

Hosted by Prof. Antonio Acín