Hi all,
This week, we have two talks by our two visitors:
- Philipp Höhn will talk on Tuesday at 14:45 in HIT J52 about “A correspondence between quantum error correcting codes and quantum reference frames”. - Rotem Arnon Friedman will talk on Thursday at 11:00 in HCI F 8 about “Computational quantum information theory -- an invitation for new inspiration”
See below for the abstracts.
Best, Ladina
******
Title:
A correspondence between quantum error correcting codes and quantum reference frames
Abstract: Redundancy is the hallmark of both quantum error correction and gauge theories. In this talk, I will show that this analogy is not merely a coincidence but that there is a deeper underlying structural relationship. The key ingredient to this observation is quantum reference frames (QRFs), which constitute a universal tool for dealing with symmetries in quantum systems. They define a split between redundant and physical information in gauge systems, thereby establishing a notion of encoding in that context. This leads to an exact dictionary between (group-based) quantum error correcting codes and QRF setups. In stabilizer codes, this uncovers a correspondence between errors and QRFs: every maximal set of correctable errors generates a unique QRF, and each QRF is associated with a unique class of correctable errors. This allows for a reinterpretation of the Knill-Laflamme condition and novel insights into the relation between correctability and redundancy. The dictionary also reveals a novel error duality, based on Pontryagin duality, and somewhat akin to electromagnetic duality. Time permitting, I will illustrate these findings in surface codes, which can be understood as both codes and lattice gauge theories. These findings may find use in code design and quantum simulations of gauge theories. [Based on https://arxiv.org/abs/2412.15317]
****
Title:
Computational quantum information theory -- an invitation for new inspiration
Abstract: In this very informal seminar I would like to share with you -- the best QIT group in the world -- why we should be interested and carve new research paths in QIT, which take aspects of computational complexity into account. I will present two different works of mine: "Computational Entanglement Theory" (https://arxiv.org/abs/2310.02783, with Zvika Brakerski & Thomas Vidick) and "Computational Quantum Unpredictability Entropy" (soon on the arXiv, with Noam Avidan). I will focus on the many open questions that arise and share my enthusiasm with you!