# Presentations

• Local continuity bounds for entropies of finite probability distributions   (May 2017, 7 slides)

• A presentation on my work with my supervisor Nilanjana Datta on local continuity bounds for the entropies of finite distributions, presented at the one-day event High Dimensional Mathematics. These are the slides I gave accompanying my short talk, the video of which is here.

• Landauer’s Principle in Repeated Interaction Systems   (July 2016, 34 slides)

• The slides for the talk I gave at the Autrans summer school Stochastic Methods in Quantum Mechanics on my work with Alain Joye, Yan Pautrat, and Renaud Raquepas on Landauer’s Principle in repeated interaction systems.

• Landauer's Principle in RIS   (Winter 2016; 31 slides)

• Landauer's Principle   (Summer 2014; 53 slides)

• “Landauer’s principle states that the energy cost to erase one bit of information by

• QSEP-State is in QMIPne   (Winter 2014; 17 slides)

• “The promise problem QSEP-STATE asks if a quantum state described by a circuit is close to a separable

• Is QSEP-CIRCUIT QMA-hard?   (Summer 2013; 60 slides)

• “QSEP-CIRCUIT, as defined in a recent paper by Patrick Hayden, Kevin Milner, and Mark Wilde (http://arxiv.org/abs/1211.6120)

# Posters

• A poster on my work with my supervisor Nilanjana Datta on local continuity bounds for the entropies of finite distributions, presented at the one-day event High Dimensional Mathematics. I gave a short “elevator pitch” to advertise the poster, the video recording of which is posted here.

• Landauer's Principle in Repeated Interation Systems   (November 2016)

• QSEP-STATE in QMIPne   (September 2013)

• A poster on my work with Chris Bahr, under the supervision of Patrick Hayden, on a quantum complexity theory problem about entanglement, presented at McGill University for an undergraduate computer science poster session. Abstract:

# Class Projects

• The existence and uniqueness of the Haar Measure   (Fall 2014; 11 pages)

• “The Haar measure allows integration over topological groups,

• The black hole information paradox   (Winter 2014; 9 pages)

• “The black hole information paradox concerns the intersection of quantum mechanics and general relativity,

• Non-local games and communication complexity   (Winter 2013; 16 pages)

• “Synthesizing some of the literature on non-local games and communication complexity scenarios provides a deeper understanding of the fundamental differences

# University Physics Competition

• Life on Phorcys   (Fall 2013; 20 pages)

• “In this article, we investigate the possible forms of life that may exist on planet Phorcys.

# Notes

• Combinatorics Notes   (Winter 2016; 90 pages)

• Extremal combinatorics: Sperner systems, the Littlewood-Offord problem, intersecting hypergraphics, compression, Turan type problems, Ramsey theory, convexity, incidence problems, and algebraic methods. Contribute typo fixes here.

• Math 354 Honours Analysis 3 Notes   (Fall 2013; 128 pages)

• Introduction to metric spaces, topological spaces.

Written Work - Eric Hanson