QRC Seminar Series - Prof. Matthias Christandl

Title:

Quantum Communication with Noisy Devices

Abstract:

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates, it is usually assumed that these circuits can be implemented using noise-free gates. While this assumption is satisfied for classical machines in many scenarios, it is not expected to be satisfied in the near future for quantum machines where decoherence leads to faults in the quantum gates. As a result, fundamental questions regarding the practical relevance of quantum channel coding remain open.

In the presented work, we initiate the study of these questions and show how techniques from quantum computation and communication can be combined to arrive at a communication analog of the famous threshold theorem. The threshold theorem says that one can compute (and now also communicate), when the noise per gate is below a certain threshold.

We expect our results to be relevant for satellite communication as well as the execution of quantum software on distributed quantum processor cores.

Bio:

Matthias Christandl is a professor of mathematics at the University of Copenhagen developing Quantum Software for a future Quantum Computer. He is the center leader of the Quantum for Life Center funded by the Novo Nordisk Foundation and the chairman of the University of Copenhagen Quantum Hub. Matthias holds a PhD from the University of Cambridge and is a member of the Royal Danish Academy of Sciences and Letters.