Homepage of Anna Jenčová

Address

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

Education and employment

• 2019 - : Mathematical Institute of SAS, Bratislava, senior researcher
• 1999 - 2019: 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

PhD students

• Martin Plávala, 2015 - 2019,
  • thesis title: Non-classical effects on generalized quantum channels

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 category theory.

Preprints

1. Bluhm, A., Capel, Á., Rico, P. C., and Jenčová, A, Belavkin-Staszewski Quantum Markov Chains, arXiv preprint (2025), arXiv:2501.09708
2. Jenčová, Anna, On the structure of higher order quantum maps, arXiv preprint (2024), arXiv:2411.09256

Recent publications

1. Hiai, Fumio, and Anna Jenčová, $\alpha$-z-Rényi Divergences in von Neumann Algebras: Data Processing Inequality, Reversibility, and Monotonicity Properties in $\alpha$, z, Communications in Mathematical Physics 405.11 (2024): 271, https://doi.org/10.1007/s00220-024-05124-1
2. A. Jenčová, Recoverability of quantum channels via hypothesis testing, Letters in Mathematical Physics 114.1 (2024), 31, https://doi.org/10.1007/s11005-024-01775-2, arxiv:2303.11707
3. A. Jenčová, The exponential Orlicz space in quantum information geometry, Information Geometry 7 (Suppl 1) (2024), https://doi.org/10.1007/s41884-023-00097-x, arxiv:2301.06906
4. T. Heinosaari, A. Jenčová, M. Plávala, Dispensing of quantum information beyond no-broadcasting theorem -- is it possible to broadcast anything genuinely quantum?, J. Phys. A: Math. Theor. 56 135301 (2023), https://doi.org/10.1088/1751-8121/acbc5b, arxiv:2208.10341
5. A. Jenčová and S. Pulmannová, Spectrality in convex sequential effect algebras, International Journal of Theoretical Physics 62.8 (2023), 193, https://doi.org/10.1007/s10773-023-05431-8, arxiv:2312.13003
6. A. Jenčová and S. Pulmannová, Spectral order unit spaces and JB-algebras, Journal of Mathematical Analysis and Applications 520.2 (2023), 126911, https://doi.org/10.1016/j.jmaa.2022.126911, arxiv:2208.08740
7. A. Jenčová, Assemblages and steering in general probabilistic theories, Journal of Physics A: Mathematical and Theoretical, 55 (2022), 434001, https://doi.org/10.1088/1751-8121/ac97ce, arxiv:2202.09109
8. A. Bluhm, A. Jenčová and I. Nechita, Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms, Communications in Mathematical Physics 393.3 (2022): 1125-1198, https://doi.org/10.1007/s00220-022-04379-w, arXiv:2011.06497
9. A. Jenčová, S. Pulmannová, Spectral resolutions in effect algebras, Quantum 6, 849 (2022), https://doi.org/10.22331/q-2022-11-03-849, arxiv:2111.02166
10. A. Jenčová, Rényi relative entropies and noncommutative Lp-spaces II, Ann. Henri Poincaré 22, 3235–3254 (2021) https://doi.org/10.1007/s00023-021-01074-9, arxiv:1707.00047
11. A. Jenčová and S. Pulmannová, Geometric and algebraic aspects of spectrality in order unit spaces: a comparison, Journal of Mathematical Analysis and Applications (2021):125360, https://doi.org/10.1016/j.jmaa.2021.125360, arxiv:2102.01628
12. A. Jenčová, A general theory of comparison of quantum channels (and beyond), IEEE Transactions on Information Theory, 67 (2021), 3945-3964, arXiv:2002.04240, https://doi.org/10.1109/TIT.2021.3070120
13. A. Jenčová, S. Pulmannová, Observables on synaptic algebras, Fuzzy Sets and Systems 406 (2021), 93-106, https://doi.org/10.1016/j.fss.2020.05.015, arxiv:1909.05613
14. A. Jenčová, S. Pulmannová, Tensor product of dimension effect algebras, Order 38 (2021), 377–389, https://doi.org/10.1007/s11083-020-09546-z, arxiv:1902.11031

A full list of publications.

Some conferences

1. Towards Infinite Dimension and Beyond in Quantum Information, May 5-10, IMAG, Granada, Spain, talk
2. Mini Workshop: Recent Advances in Quantum Mathematical Statistics, November 2023, Nagoya University [talk]talk
3. Rényi Institue, Budapest, October 2023 seminar talk
4. QIMP2023, Budapest, Hungary (blackboard talk)
5. ILAS 2023, Madrid, Spain, talk
6. Quantum Kyoto 2022, Kyoto (online), talk
7. Conference in Operator Algebras and Related Topics, 2021, Istanbul (online), talk
8. QPL 2021, Gdansk, Poland (online), talk
9. SSAOS 2019, 2019, Karolinka, Czech Republic, talk
10. BIRS Workshop: Algebraic and Statistical ways into Quantum Resource Theories, 2019, Banff, Canada, talk
11. Workshop GPT&QIT Generalized Probabilistic Theories and Quantum Information, 2019, Lyon
12. Quantum Statistics and Related Topics, 2018, Lodz, Poland, talk
13. Quantum Information Theory and Mathematical Physics, 2018, Budapest
14. Beyond I.I.D. in Information Theory, 2018, Cambridge, talk
15. 18th Workshop: Noncommutative Probability, Operators Algebras, Random Matrices and Related Topics, with Applications, 2018, Bedlewo, talk
16. Three Days in Quantum Mechanics, 2018, Genoa, talk
17. Quantum Information Theory and Mathematical Physics, 2017, Budapest
18. Quantum networks 2017, Oxford poster
19. 14th International Conference on Quantum Physics and Logic - QPL 2017, 2017, Nijmegen, poster
20. Quantum Information Theory and Mathematical Physics workshop, 2016, Budapest
21. Beyond IID in Information theory, 2016, Barcelona, poster
22. ISIT 2016, Barcelona, talk
23. Noncommutative workshop, Cracow, 2015
24. Beyond IID in Information theory, 2015, Banff, Canada, talk
25. CEQIP 2015, Telč, Czech Republic, poster
26. New Horizons in Statistical Decision Theory, Oberwolfach, 2014, Germany, talk