Publications

Below is a list of my peer-reviewed research publications in quantum information theory.

Peer-Reviewed Publications

Year Title Journal DOI arXiv
2022 On the mixed-unitary rank of quantum channels
M. Girard, D. Leung, J. Levick, C.-K. Li, V. Paulsen, Y.-T. Poon, J. Watrous
Communications in Mathematical Physics, 394(2), 919–951 10.1007/s00220-022-04412-y 2003.14405
2021 Certifying optimality for convex quantum channel optimization problems
B. Coutts, M. Girard, J. Watrous
Quantum, 5, 448 10.22331/q-2021-05-01-448 1810.13295
2021 Twirling channels have minimal mixed-unitary rank
M. Girard, J. Levick
Linear Algebra and its Applications, 615, 207–227 10.1016/j.laa.2020.12.027 2005.07056
2021 Jordan products of quantum channels and their compatibility
M. Girard, M. Plávala, J. Sikora
Nature Communications, 12, 2129 10.1038/s41467-021-22275-0 2009.03279
2021 Convex cones in mapping spaces between matrix algebras
M. Girard, S.-H. Kye, E. Størmer
Linear Algebra and its Applications, 608, 248–269 10.1016/j.laa.2020.08.017 2001.11166
2017 Entanglement monotones and transformations of symmetric bipartite states
M. W. Girard, G. Gour
Physical Review A, 95, 012308 10.1103/PhysRevA.95.012308 1609.08016
2015 Computable entanglement conversion witness that is better than the negativity
M. W. Girard, G. Gour
New Journal of Physics, 17, 093013 10.1088/1367-2630/17/9/093013 1410.7094
2015 Erratum: Numerical estimation of the relative entropy of entanglement
M. W. Girard, Y. Zinchenko, S. Friedland, G. Gour
Physical Review A, 91, 029901 10.1103/PhysRevA.91.029901
2014 On convex optimization problems in quantum information theory
M. W. Girard, G. Gour, S. Friedland
Journal of Physics A: Mathematical and Theoretical, 47, 505302 10.1088/1751-8113/47/50/505302 1402.0034
2012 Gradient-based stopping rules for maximum-likelihood quantum-state tomography
S. Glancy, E. Knill, M. Girard
New Journal of Physics, 14, 095017 10.1088/1367-2630/14/9/095017 1205.4043

Theses

  • Ph.D. Thesis (2017): Convex Analysis in Quantum Information
    University of Calgary.
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  • Diplom Thesis (2012): Optimal Control of Many-Body Entanglement with Measures Optimized on the Fly
    University of Freiburg.
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