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Seminarium ISQI - Prof. Paweł Kurzyński

How to detect exponential sensitivity of quantum dynamics?

Speaker: Prof. Paweł Kurzyński
Date, Time: 26.01, 15:00 - 16:00

It is commonly believed that quantum chaos must be fundamentally different from classical chaos because apparently there is no state sensitivity in quantum theory. This is usually attributed to the fact that the overlap between two quantum states does not change under unitary dynamics. However, I am going to show that a properly defined metric between quantum states can reveal quantum state sensitivity. Moreover, I am going to present an example N-qubit unitary dynamics that exhibits exponential sensitivity to small single-qubit perturbations.

Paweł Kurzyński, Phys. Rev. E 104, L052202 (2021)