Seminars & Colloquia
U of Arizona
"Error Correction and Statistical Inference for Quantum Applications"
Tuesday February 15, 2022 11:30 AM
Location: 3211, EB2 NCSU Centennial Campus
Zoom Meeting Info (Visitor parking instructions)
In this talk, I will discuss some of the challenges arising in the different applications mentioned above. In the context of quantum computing, I will describe how our algebraic methods have helped answer some important questions about logical computation that have both fundamental and practical implications. As part of this work, we have released open-source software and also addressed hardware-inspired questions in a trapped-ion system. In quantum networking, a key task is distilling entanglement between the different nodes so as to enable various network protocols such as distributed quantum computing. Since the channels between different nodes are noisy, one needs to develop reliable schemes to distribute and distill high-fidelity entanglement. I will describe our new quantum error correction based protocol that enables multipartite entanglement distillation in networks.
Statistical inference is ubiquitous in today’s world, particular settings being correcting errors in communications and data storage. Probabilistic graphical models and message passing algorithms on graphs form the engine for classical statistical inference. However, the quantum counterparts of these inference problems may need purely quantum algorithms to perform statistical inference, such as in classical communications over optical channels. Here, classical data is coded and transmitted as coherent states over the channel, and one needs to correct channel errors at the receiver through a quantum circuit that processes the received states. I will describe our work on a quantum algorithm that passes quantum messages to correct channel errors, and show that it is a promising candidate for such quantum inference tasks.
Finally, I will briefly talk about other relevant work and also share my plans for future research. Throughout the presentation, I will demonstrate how our work strengthens the link between classical and quantum error correction. I will provide the error correction and quantum background necessary for the discussion.
More information about his work is available on his website (https://nrenga.github.io) and on Google Scholar (https://scholar.google.com/citations?user=qkAERWAAAAAJ&hl=en).
Host: Frank Mueller, CSC