# 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]