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Seminar: Prof Nadja Bernardes, Approximating Invertible Maps by Recovery Channels: Optimality and an Analysis of Qudit Channels
2023-10-20 @ 14:00 - 15:00
Title of talk: Approximating Invertible Maps by Recovery Channels: Optimality and an Analysis of Qudit Channels
Speaker: Prof Nadja Bernardes
(Federal University of Pernambuco, Brazil)
Abstract:
We investigate the problem of reversing quantum dynamics, specifically via optimal Petz recovery maps. We focus on typical decoherence channels, such as dephasing, depolarizing, and amplitude damping. We illustrate how well a physically implementable recovery map simulates an inverse evolution. Furthermore, we extend our analysis to qudit channels by devising a state-independent framework that quantifies the ability of the Petz map to recover a state for any dimension. Under certain conditions, dimensionality plays a role in state recovery.
Bio:
Nadja Bernardes is a Professor of Physics at the Federal University of Pernambuco (Recife, Brazil), with research focusing on quantum information theory, particularly open quantum systems and non-Markovian dynamics. Nadja holds a PhD in Physics from the Max Planck Institute for the Science of Light (Erlangen, Germany 2012), where she researched long-distance quantum communication. She is on the board of the Brazilian Physical Society and a researcher at the National Institute of Quantum Information Science and Technology.
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