Speaker
Muhammad Ezra Acalapati Madani
(Laboratoire de la Physique de l'École Normale Supérieure (LPENS) / Sorbonne Université)
Description
We introduce a geometric framework for non-unitary quantum processes, in line with the unitary SU(N) geometry. We propose a Finslerian metric for our goal, which modifies the original unitary geometry by applying the restrictions from Lindblad Master Equations from the perspective of Pontryagin's Maximum Principle (PMP). We illustrate the results of the Finslerian metrics for depolarising and amplitude-damping single-qubit cases with rotation around one axis. We discuss potential insights on connecting to circuit complexity and analysing the geometrical curvatures.
Authors
Muhammad Ezra Acalapati Madani
(Laboratoire de la Physique de l'École Normale Supérieure (LPENS) / Sorbonne Université)
Dr
Giuseppe Policastro
(Laboratoire de la Physique de l'École Normale Supérieure (LPENS))
Dr
Kausik Ghosh
(Department of Mathematics, King's College London)
