Christian Boudreault

• Quantum information theory
• Condensed matter
• Modeling of quantum computing platforms.

My current research focuses on two areas: (1) the use of quantum information to better understand the structure of quantum matter, especially when it comprises a large number of highly correlated degrees of freedom, and (2) the exploitation of the information inherent in quantum states to design algorithms with a quantum advantage, whether supported by a general-purpose quantum computer or a hybrid quantum-classical machine learning system. My interest in mathematical logic and the question of the foundations of mathematics and science remains just as keen.

I graduated with a B.Sc. in Physics from Université Laval in 2002, after three exciting years of study. I discovered a passion for theoretical physics and the question of the foundations of physics, particularly under the guidance of Prof. Pierre Mathieu. After an additional year of studies in mathematics at Université Laval, enriched by one or two courses in the philosophy of science, I began the Master's program in pure mathematics at McGill University under the supervision of Prof. Michael Makkai. There, I specialized in mathematical logic and focused on the search for a categorical formalization of mathematics (i.e., based on category theory, rather than the more common set theory). In 2006, I graduated with a M.Sc. in Mathematics, with a thesis entitled “Basic Model Theory of Finitary and Infinitary Languages of First-Order Logic with Dependent Sorts (FOLDS)”.

In 2022, I obtained a Ph.D. in physics at Université de Montréal, under the supervision of Profs. Manu Paranjape, Richard MacKenzie and William Witczak-Krempa. My thesis entitled “Hamiltoniens locaux et information quantique en dimension réduite” (Local Hamiltonians and Quantum Information in Reduced Dimensions) focused on the information content of states of quantum matter and the exploitation of this information for universal quantum computation.

I have been teaching physics and mathematics at the Royal Military College Saint-Jean since 2009.

Scientific Papers (peer-reviewed)

• C. Boudreault, S. A. Owerre, and M. B. Paranjape, “Frustration, solitons, and entanglement in spin chains,” Phys. Rev. B, vol. 108, p. 155 107, 15 2023. DOI: https://doi.org/10.1103/PhysRevB.108.155107
• C. Boudreault, C. Berthiere, and W. Witczak-Krempa, “Entanglement and separability in continuum Rokhsar-Kivelson states,” Phys. Rev. Research, vol. 4, p. 033 251, 3 2022.  DOI: https://doi.org/10.1103/PhysRevResearch.4.033251
• C. Boudreault, H. Eleuch, M. Hilke, and R. MacKenzie, “Universal quantum computation with symmetric qubit clusters coupled to an environment,” Phys. Rev. A, vol. 106, p. 062 610, 6 2022.  DOI: https://doi.org/10.1103/PhysRevA.106.062610
• M. Zaimi, C. Boudreault, N. Baspin, N. Delnour, H. Eleuch, R. MacKenzie, and M. Hilke, “Detecting topological edge states with the dynamics of a qubit,” Physics Letters A, vol. 388, p. 127 035, 2021, ISSN:0375-9601. DOI: https://doi.org/10.1016/j.physleta.2020.127035

Book chapters

• M. Zaimi, C. Boudreault, N. Baspin, H. Eleuch, R. MacKenzie, and M. Hilke, “Qubits as edge state detectors: Illustration using the SSH model,” in Quantum Theory and Symmetries, M. B. Paranjape, R. MacKenzie, Z. Thomova, P. Winternitz, and W. Witczak-Krempa, Eds., Cham: Springer International Publishing, 2021, pp. 633–641, ISBN: 978-3-030-55777-5.

Refereed Conferences

• C. Boudreault, H. Eleuch, M. Hilke, and R. MacKenzie, Using symmetric qubit clusters to protect quantum computation, Canadian Association of Physicists Annual Congress, 2021, online.
• C. Boudreault, H. Eleuch, M. Hilke, and R. MacKenzie, Using symmetric qubit clusters to protect quantum computation, Quantum Information and Computation: From Foundations to Applications, Indian Institute of Technology Jodhpur, India, 2021.
• C. Boudreault, S. A. Owerre, and M. B. Paranjape, Solitons of the higher-spin Haldane spin chain, Canadian Association of Physicists Annual Congress, 2021, online.
• C. Boudreault, S. A. Owerre, and M. B. Paranjape, The phase-diagram of the Blume-Capel-Haldane-Ising model, Canadian Association of Physicists Annual Congress, Université d’Ottawa, 2016.

• Collaborating member of Institut transdisciplinaire d’information quantique (INTRIQ).
• Associate Dean of research at RMC Saint-Jean since June 1^st 2024.

• Canadian Defence Academy Research Programme (CDARP) 2024-2027 – 12,000.00$