Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Fax: 519-746-4319

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Hello! Our lab is a theory lab and my group and I are working on basic questions related to information theory, quantum theory, general relativity and cosmology. Here is the basic idea:

On the highest level of abstraction, the laws of nature are about how the information content in natural processes evolves. On this level, it matters that the flow and processing of all information in the universe is subject to quantum theory and general relativity.

On one hand, this means that deep insights about the laws of nature are to be gained by developing and applying information-theoretic methods. These are insights, for example, into the origin of structure in the universe and into the fate of what falls into a black hole. Here is a short video about what we do in cosmology. Here is a paper reviewing some of our progress. Here's an interview that I gave to the YouTube channel Scholarly about some of our research. Here's the video of a talk I gave at Perimeter Institute. On the other hand, there are concrete applications in science and technology, such as in quantum communication and quantum computing.

We are also working on information-theoretic aspects of engineering and biology, and we have started to study deep learning. Oh, and yes, we showed that one can integrate by differentiating - see for example the two equations on the top right of this page. No kidding: Journal, Arxiv, Journal, Arxiv, Video. The new methods are now implemented in Maple and are making Maple (from version Maple2019 onwards) faster and more powerful than the competition in integration and integral transforms.

- Mar. 10, 2019We are working with Google on Quantum Machine Learning
My group received a Google Faculty Research Award to work with Google on Quantum Machine Learning. My Ph.D. student Guillaume Verdon and my Master's student Evan Peters are at the forefront of this work.

- June 18, 2018We're in the news for finding a new way to explore the Cosmic Microwave Background
We published a paper in PRL and another paper in Foundations of Physics with a fully covariant prediction for the signature of Planck scale physics in the Cosmic Microwave Background. Here's one of the popular news items about these results.

- May 10, 2016We're in the popular science news for a new quantum control method
Here is a popular science news item about David Layden's Master's research. Congratulation, David!

Professor and University Research Chair

(Civilized Barbarian)

(Add Pope)

2014 - 2018: Co-chair of the International Society for Relativistic Quantum Information (ISRQI)

2004 - 2014: Canada Research Chair for the Physics of Information

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1