## Address

**Office**: Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia**e-mail**: jenca@mat.savba.sk

## Education and employment

- 1999 - present: Mathematical Institute of SAS, Bratislava, researcher
- 1999: PhD in probability and mathematical statistics, Mathematical Institute of SAS, supervisor: prof. Ľ. Kubáček
- 1994: MSc in mathematics, Comenius University, Bratislava

A more detailed CV is available here

## PhD students

Martin Plávala, 2015 -

## Research interests

I am interested in quantum information theory and quantum statistics, especially some aspects related to linear algebra, theory of operator algebras, differential geometry and convexity. For more info, see here.

## Preprints

- A. Jenčová, M. Plávala, Conditions on the existence of maximally incompatible two-outcome measurements in General Probabilistic Theory, arxiv:1703.09447, 2017
- A. Jenčová, G. Jenča, On monoids in the category of sets and relations, arXiv:1703.03728, 2017, to appear in Int. J. Theor. Phys.
- D. J. Foulis, A. Jenčová, S. Pulmannová, A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra, arxiv:1610.06208, 2016
- A. Jenčová, Rényi relative entropies and noncommutative Lp-spaces, arXiv:1609.08462, 2016
- D. J. Foulis, A. Jenčová, S. Pulmannová, Every synaptic algebra has the monotone square root property, arXiv:1605.04115, to appear in Positivity, 2016

## Recent and selected publications

- D. J. Foulis, A. Jenčová, S. Pulmannová, States and synaptic algebras, Rep. Math. Phys. 79 (2017), 13-31
- A. Jenčová, Preservation of a quantum Renyi relative entropy implies existence of a recovery map, J. Phys. A: Math. Theor. 50 (2017), 085303
- A. Jenčová, M. Plávala, Conditions for optimal input states for discrimination of quantum channels, J. Math. Phys. 57 (2016), 122203
- A. Jenčová, Comparison of quantum channels and quantum statistical experiments, 2016 IEEE International Symposium on Information Theory (ISIT), 2249 - 2253, IEEE Conference Publications, 2016 extended version
- A. Jenčová, Base norms and discrimination of generalized quantum channels, J. Math. Phys. 55 (2013), 022201
- A. Jenčová, Reversibility conditions for quantum operations, Rev. Math. Phys. 24 (2012), 1250016
- A. Jenčová, M.B. Ruskai, A unified treatment of convexity of relative entropy and related trace functions, with conditions for equality, Rev. Math. Phys. 22 (2010), 1099-1121
- M. Guta, A. Jenčová, Local asymptotic normality in quantum statistics, Commun. Math. Phys. 276 (2007) 341-379
- A. Jenčová, A construction of a nonparametric quantum information manifold, J Funct. Anal. 239 (2006), 1-20
- A. Jenčová, D. Petz, Sufficiency in quantum statistical inference, Commun. Math. Phys. 263 (2006), 259-276

A full list of publications.

## Recent conferences

- Quantum Information Theory and Mathematical Physics workshop, 2016, Budapest
- Beyond IID in Information theory, 2016, Barcelona, poster
- ISIT 2016, Barcelona, talk
- Noncommutative workshop, Cracow, 2015
- Beyond IID in Information theory, 2015, Banff, Canada, talk
- CEQIP 2015, Telč, Czech Republic, poster
- New Horizons in Statistical Decision Theory, Oberwolfach, 2014, Germany, talk