Essays

Essays at University of Waterloo

Fall 2007

Representation Theory of Compact Groups (PMath733 by Wentang Kuo)
Maris Ozols, “The Classification of Root Systems” [paper] [presentation]
Introduction to Quantum Information Processing (CO681 by Richard Cleve)
Maris Ozols, “Geometry of a Qubit” and “Geometric Aspects of Quantum Computing” [paper] [presentation]

Winter 2008

Research Skills Seminar
Maris Ozols, “Universal Pairs of Rotations” [abstract] [presentation - 7.62 MB]
Quantum Algorithms (CO781 by Andrew Childs)
Maris Ozols, “Hamiltonian Quantum Cellular Automata in 1D” by Daniel Nagaj and Pawel Wocjan [paper] [presentation]

Spring 2008

Topics in Quantum Information (CO781 by Debbie Leung and Ashwin Nayak)
Maris Ozols, “Clifford group” [paper] [presentation]

Fall 2009

Quantum Complexity Theory (CS898 by John Watrous)
Maris Ozols, “The Solovay-Kitaev theorem” [paper]
Graduate Algebra (PMath 701 by Ross Willard)
Maris Ozols, “Finite simple groups” [presentation]
Research Skills Seminar
Maris Ozols, “Introduction to quantum walk” [presentation]

Fall 2011

Research Skills Seminar
Maris Ozols, “An exceptionally beautiful way to communicate over a classical channel” [presentation]

Winter 2011

Implementaions of quantum information processing (QIC 750 by Frank Wilhelm-Mauch)
Maris Ozols, “On 'The Computational Complexity of Linear Optics' by Scott Aaronson and Alex Arkhipov” [paper] [presentation]

Other essays

Maris Ozols, “Notes on Quantum Computing” [notes]
Maris Ozols, “Notes on Graph Theory” [notes]
Maris Ozols, “Differential geometric formulation of Maxwell's equations” [paper]
Maris Ozols, “Inscribing a circle in a hypercube” [paper]
Maris Ozols, “How to generate a random unitary matrix” [paper] [abstract]
Māris Ozols, Laura Mančinska, “Generalized Bloch Vector and the Eigenvalues of a Density Matrix” [paper]

Various presentations

Maris Ozols, “Quantum cryptography” [presentation]
Maris Ozols, “How to teleport your cat?” [presentation]
Maris Ozols, “Kvantu skaitļošana: no Liepājas 1. vidusskolas līdz IBM” [presentation]
Maris Ozols, “Quantum algorithms for the hidden shift problem of Boolean functions” [presentation]
Maris Ozols, “Quantum algorithms for searching, resampling, and hidden shift problems” [presentation]
Māris Ozols, “Bloha sfēra” [presentation]

Publications

A list of my publications is available here