Quantum Computing Educator & Researcher at Xanadu.

I also play the piano, bass guitar, and the pipe organ.

You can download my CV here.

My research interests include, but are not limited to:

- High performance computing, parallel computing, and their application to physical problems
- Quantum circuit synthesis
- Quantum tomography
- Resource estimation in quantum computing
- Various "quantum combinatorial" objects; their constructions, uses in quantum computing, as well as their relationships with classical combinatorial objects (e.g. mutually unbiased bases, unitary designs).

ODM, A. McCoy, P. Gysbers, T. Miyagi, R. Woloshyn, P. Navrátil
(2021) *
Improving Hamiltonian encodings with the Gray
code*. Phys. Rev. A **103** 042405 (arXiv)

B. Dury, ODM (2020) *A QUBO formulation for qubit allocation.* [quant-ph] 2009.00140

ODM, J. Gamble, C. Granade, K. Rudinger, N. Wiebe
(2020) *Operational,
gauge-free quantum tomography.* Quantum **4** 364.

ODM, V. Gheorghiu, M. Mosca (2020) *Fault tolerant resource estimation of quantum random-access memories.* IEEE Transactions on Quantum Engineering, vol.1, pp. 1-13, Art no. 4500213.

ODM (2019) *Methods for parallel quantum circuit synthesis, fault-tolerant quantum RAM, and quantum state tomography.* (PhD thesis)

H. de Guise, ODM, L. L. Sánchez-Soto (2018) *Simple factorization of unitary transformations.* Phys. Rev. A **97** 022328 (arXiv)

ODM, L. L. Sánchez-Soto, G. Leuchs, M. Grassl (2017) *Coarse-graining the phase space of N qubits.* Phys. Rev. A ** 95 ** 022340 (arXiv)

Amy M., ODM, Gheorghiu V., Mosca M., Parent A., Schanck J. (2017) * Estimating the Cost of Generic Quantum Pre-image Attacks on SHA-2 and SHA-3.*

In: Avanzi R., Heys H. (eds) Selected Areas in Cryptography – SAC 2016. SAC 2016. Lecture Notes in Computer Science, vol 10532. Springer, Cham. (arXiv)

ODM, M. Mosca (2016) *Parallelizing quantum circuit synthesis.* Quantum Science and Technology **1** (1)

ODM (2015) *Parallelizing quantum circuit synthesis. *(MSc thesis)

ODM, D. Z. Djokovic, I. S. Kotsireas (2015) *Symmetric Hadamard matrices of order 116 and 172 exist. * Special Matrices. Volume 3, Issue 1, ISSN (Online) 2300-7451

M. Gaeta, ODM, A. B. Klimov, H. de Guise (2014) *Discrete phase-space approach to mutually orthogonal Latin squares.* J. Phys. A: Math. Theor. **47** 435303 (arXiv)

A. Darbandi, E. Devoie, ODM, O. Rubel (2012) *Modeling the radiation ionization energy and energy resolution of trigonal and amorphous selenium from first principles.* J. Phys.: Condens. Matter. **24** 455502

I often program things. I'm no professional software developer, but it still does the trick.

FT qRAM Circuits, Python tools for fault-tolerant resource estimation of qRAM circuits in the surface code.

Caspar, a Python implementation of our recursive factorization of SU(n) matrices.

pQCS, software for parallel quantum circuit synthesis (downloadable from the qsoft webapge).

Balthasar, a Python package (in progress) for MUBs, Latin Squares, and many other fun things.

PyniteFields, a Python package for working with Galois fields.

The 2-designer, a Python implementation of a protocol for sampling random circuits from a unitary 2-design.

The following are some topical notes which may or may not be useful for others. Some were written for class projects, others for friends or for fun.

Introduction to quantum computing and quantum annealing (Materials for a lecture series given at TRIUMF, May 2019)

A casual primer on finite fields

Bounded depth quantum circuits (for John Watrous' course on Quantum Complexity Theory, summer 2014)

A brief introduction to unitary 2-designs (for John Watrous' course on Applications of Haar measure in Quantum Information, fall 2014)