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Matthew Duschenes

@mduschenes.bsky.social

PhD student in Quantum Information at the University of Waterloo, Institute for Quantum Computing, and Perimeter Institute!

Posts Replies Media

Matthew Duschenes @mduschenes.bsky.social · 21/11/2025

Our tools are primed to study future quantum channel ensembles of interest, and to help assess error mitigation protocols. Huge thanks to Diego, Zoe, Marco, and everyone at UW, IQC, PI, LANL, and EPFL! Pease reach out if you'd like to know more about the rich behaviours of random quantum channels!

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Matthew Duschenes @mduschenes.bsky.social · 21/11/2025

After comparing these ensembles (using a novel basis for permutations!), we go on to study statistics of noisy random quantum circuits. What has been previously thought of as noise-induced barren plateau phenomena, can be more generally thought of as channel design-induced concentration phenomena!

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Matthew Duschenes @mduschenes.bsky.social · 21/11/2025

By computing properties of various ensembles ("Haar" ensembles of unitaries U(d), "cHaar" ensembles of quantum channels with respect to a variable environment C(d,d_E), and "Depolarize" ensembles of a single depolarizing channel D(d)), we are able to define novel notions of channel t-designs.

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Matthew Duschenes @mduschenes.bsky.social · 21/11/2025

Although dyamics due to random unitaries have been well studied, dynamics due to random quantum channels have yet to be fully explored. We develop several tools to exactly compute moment operators for ensembles of quantum channels, that fully capture all statistical information about these systems!

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Matthew Duschenes @mduschenes.bsky.social · 21/11/2025

If you've ever been curious about statistics and random dynamics in general quantum settings, here's some new work on moments of ensembles of random quantum channels, with the amazing @dgarciamartin.bsky.social , @qzoeholmes.bsky.social , and @mvscerezo.bsky.social !! arxiv.org/abs/2511.12700

arxiv.org

Moments of quantum channel ensembles

Moments of ensembles of unitaries play a central role in quantum information theory as they capture the statistical properties of dynamics of systems with some form of randomness. Indeed, concepts suc...

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