arXiv Preprints

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Essays

[1] Dropbox/SRK_essay.pdf   (Winter 2018; 54 pages)
Extrema in majorization order with applications to entropic continuity bounds
Summary: An essay submitted in the competition for a Smith-Knight or Rayleigh-Knight prize. This essay combines my work on uniform continuity bounds (arXiv:1707.04249) with that on local continuity bounds (arXiv:1706.02212), and unifies the notation. Abstract: “Majorization is a pre-order of vectors, giving a sense in which one vector can be said to be more disordered than another. Two given vectors, however, may be incomparable. This concept has been extended
[2] Dropbox/LP_RIS_thesis.pdf   (April 2016; 84 pages)
Landauer's Principle in Repeated Interaction Systems
Summary: My masters thesis; essentially, an expanded version of most of arXiv:1510.00533, in my own words. The abstract: “Landauer’s Principle states that there is a lower bound on the energy required to change the state of a small system from an initial state to a final state by interacting with a thermodynamic reservoir;

Presentations

[1] vimeo/251537549   (November 2017, 3:27 minutes)
Quantum Information Theory
Summary: Winning entry for the 2017 CCIMI video contest. Video:
[2] Dropbox/EntropyLCBslides_May17   (May 2017, 7 slides)
Local continuity bounds for entropies of finite probability distributions
Summary: 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.
[3] Dropbox/Autrans_talk_LP_in_RIS_2016   (July 2016, 34 slides)
Landauer’s Principle in Repeated Interaction Systems
Summary: 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.
[4] Dropbox/LandauerRISWaterloo2016.pdf   (Winter 2016; 31 slides)
Landauer's Principle in RIS
Summary: Slides for a talk I gave to the Physics of Information lab at Waterloo, February 2016, about Landauer’s Principle in Repeated Interaction Systems. Based on the preprint arxiv/1510.00533.
[5] Dropbox/LandauerPresentation.pdf   (Summer 2014; 53 slides)
Landauer's Principle
Summary: “Landauer’s principle states that the energy cost to erase one bit of information by
[6] Dropbox/QsepStateInQMIPne.pdf   (Winter 2014; 17 slides)
QSEP-State is in QMIPne
Summary: “The promise problem QSEP-STATE asks if a quantum state described by a circuit is close to a separable
[7] Dropbox/Qsep-CircuitPresentation.pdf   (Summer 2013; 60 slides)
Is QSEP-CIRCUIT QMA-hard?
Summary: “QSEP-CIRCUIT, as defined in a recent paper by Patrick Hayden, Kevin Milner, and Mark Wilde (http://arxiv.org/abs/1211.6120)

Posters

[1] Dropbox/Universal-bounds-poster   (August 2017)
A universal construction of tight continuity bounds for entropies
Summary: A poster on my work with my supervisor Nilanjana Datta on uniform continuity bounds for the single-partite entropies, presented at the conference Beyond IID 2017 in Singapore in August 2017, and the main conference of the thematic semester Analysis in Quantum Information Theory in Paris in December 2017.
[2] Dropbox/EntropyLCBPoster_May17   (May 2017)
Local continuity bounds for entropies of finite probability distributions
Summary: 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.
[3] Dropbox/LP_RIS_poster_Nov16   (November 2016)
Landauer's Principle in Repeated Interation Systems
Summary: A poster on my work with Alain Joye, Yan Pautrat, and Renaud Raquepas on Landauer’s Principle in repeated interaction systems, presented at the one-day event CCIMI New Directions in the Mathematics of Information.
[4] Dropbox/QSEP-State_Poster_Sep13   (September 2013)
QSEP-STATE in QMIPne
Summary: 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 and Notes

[1] Github/CombinatoricsNotes.pdf   (Winter 2016; 90 pages)
Combinatorics Notes
Summary: 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.
[2] Dropbox/ExistenceAndUniquenessOfHaarMeasure.pdf   (Fall 2014; 11 pages)
The existence and uniqueness of the Haar Measure
Summary: “The Haar measure allows integration over topological groups,
[3] Dropbox/BlackHoleInformationParadox.pdf   (Winter 2014; 9 pages)
The black hole information paradox
Summary: “The black hole information paradox concerns the intersection of quantum mechanics and general relativity,
[4] Dropbox/Analysis_3_Fall_2013_notes.pdf   (Fall 2013; 128 pages)
Math 354 Honours Analysis 3 Notes
Summary: Introduction to metric spaces, topological spaces.
[5] Dropbox/NonlocalGamesAndCommunicationComplexity.pdf   (Winter 2013; 16 pages)
Non-local games and communication complexity
Summary: “Synthesizing some of the literature on non-local games and communication complexity scenarios provides a deeper understanding of the fundamental differences

Miscellaneous

[1] Dropbox/LifeOnPhorcys.pdf   (Fall 2013; 20 pages)
Life on Phorcys
Summary: 2013 University Physics Competition submisssion. “In this article, we investigate the possible forms of life that may exist on planet Phorcys.

Work - Eric Hanson