Publications
Publications in peer-reviewd journals
2021
- Mark Girard, Martin Plávala, Jamie Sikora. Jordan products of quantum channels and their compatibility. (To appear in Nature Communications.) [arxiv]
2020
- Mark Girard, Mark Girard, Seung-Hyeok Kye, Erling Størmer. Convex cones in mapping spaces between matrix algebras. Linear Algebra and its Applications 608 p248. [arxiv]
- Mark Girard, Jeremy Levick. Twirling channels have minimal mixed-unitary rank. Linear Algebra and its Applications 615 p207. [arxiv]
- Eric Chitambar, Julio de Vicente, Mark Girard, Gilad Gour. Entanglement manipulation beyond local operations and classical communication. Journal of Mathematical Physics 61 (4) 042201. [arxiv]
2019
- Mark Girard. On directional derivatives of trace functionals of the form A↦ Tr(Pf (A)). Linear Algebra and its Applications 569 p62. [arxiv]
2017
- Mark Girard, Gilad Gour. Entanglement monotones and transformations of symmetric bipartite states. Physical Review A 95 012308. [arXiv]
2015
- Mark Girard, Gilad Gour. Computable entanglement conversion witness that is better than the negativity. New Journal of Physics 17 093013 (2015). [arxiv, corrigendum]
- Mark Girard, Yuriy Zinchenko, Shmuel Friedland, and Gilad Gour, Numerical estimation of the relative entropy of entanglement. Physical Review A 91 029901. [link]
2014
- Mark Girard, Gilad Gour, and Shmuel Friedland, On convex optimization problems in quantum information theory, Journal of Physics A: Mathematical and Theoretical 47 505302. [arXiv]
2012
- Scott Glancy, Emanuel Knill, Mark Girard. Gradient-based stopping rules for maximum-likelihood quantum-state tomography, New Journal of Physics 14 095017. [arXiv]
Preprints
- Mark Girard, Debbie Leung, Jeremy Levick, Chi-Kwong Li, Vern Paulsen, Yiu Tung Poon, John Watrous. On the mixed-unitary rank of quantum channels (2020). [arxiv]
- Mark Girard, Gilad Gour, On the binegativity of two qubits (2016) [arXiv]