Stationary Distributions of Quantum Trajectories With and Without Purification
APA
(2025). Stationary Distributions of Quantum Trajectories With and Without Purification. SciVideos. https://youtu.be/ngi6KlajIfY
MLA
Stationary Distributions of Quantum Trajectories With and Without Purification. SciVideos, Jan. 20, 2025, https://youtu.be/ngi6KlajIfY
BibTex
@misc{ scivideos_ICTS:30835,
doi = {},
url = {https://youtu.be/ngi6KlajIfY},
author = {},
keywords = {},
language = {en},
title = {Stationary Distributions of Quantum Trajectories With and Without Purification},
publisher = {},
year = {2025},
month = {jan},
note = {ICTS:30835 see, \url{https://scivideos.org/index.php/icts-tifr/30835}}
}
Abstract
Purification is a notable property of quantum trajectories. As time grows, mixed states tend to converge towards pure states. In 2005 Kümmerer and Maassen provided necessary and sufficient conditions for a full purification of quantum trajectories. In 2019, with some collaborators, we used purification to show that, under the assumptions of Kümmerer and Maassen, we can classify the full set of stationary distributions for quantum trajectories.
In this presentation, after reviewing these results, I will focus on what happens when the conditions of Kümmerer and Maassen are not fulfilled. Then, some dark subspaces appear. I will explain how we were able, with Anna Szczepanek and Clément Pellegrini, still, to classify all the stationary distributions of quantum trajectories. Since dark subspaces are also relevant to quantum error correction, I will try to put some bridges with our results. I will also mention ideas related to the same work but for imperfect measurements.
This presentation concerns the preprint arXiv:2409.18655.