Publications

1. Tiju Cherian John, V. B. Kiran Kumar and Anmary Tonny, An Order Relation between Eigenvalues and Symplectic Eigenvalues of Some Infinite Dimensional Operators, accepted for publication at Quantum Studies: Mathematics and Foundations  DOI: https://doi.org/10.1007/s40509-024-00336-5   arXiv:2212.03900

2. George Androulakis, and Tiju Cherian John, Petz-Rényi Relative Entropy of Thermal States and their Displacements Letters in Mathematical Physics, Volume 114, article number 57, (2024), https://doi.org/10.1007/s11005-024-01805-z  ArXiv: https://doi.org/10.48550/arXiv.2303.03380

3. George Androulakis and Tiju Cherian John, Relative Entropy via Distribution of Observables, Infinite Dimensional Analysis, Quantum Probability and Related Topics, Volume No. 27, Issue No. 02, Article No. 2350021, Year 2024, DOI: https://doi.org/10.1142/S0219025723500212. ArXiv:  arxiv.org/abs/2203.01964 

4. George Androulakis and Tiju Cherian John, Quantum f-divergences via Nussbaum-Szkoła Distributions and Applications to f-divergence Inequalities, accepted for publication Reviews in Mathematical Physics, June 19, 2023, DOI: https://doi.org/10.1142/S0129055X23600024. ArXiv: arxiv.org/abs/2308.02929  

There are two blog Posts on this research, they can be read here and here. (Thanks to George!)

5.  Tiju Cherian John and K. R. Parthasarathy, A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications, Journal of Mathematical Physics, Vol 62, 022102 (2021), DOI:  https://doi.org/10.1063/5.0019413 ;  arXiv e-prints 1911.06555 

6. B. V. Rajarama Bhat and Tiju Cherian John, Real Normal Operators and Williamson's Normal Form,  Acta Sci Math (Szeged), Volume 85, Numbers 3-4, 2019   DOI: 10.14232/actasm-018-570-5 ; arXiv e-prints 1804.03921

7. B. V. Rajarama Bhat, Tiju Cherian John and R. Srinivasan, Infinite mode Quantum Gaussian States, Reviews in Mathematical Physics, Vol 31, 2019, DOI: 10.1142/S0129055X19500302 ;arXiv e-prints 1804.05049  

Preprints

1. Natanael Alpay and Tiju Cherian John, Thermal States on Mittag-Leffler Fock Space of the Slitted Plane, arXiv:2306.14044 

PhD Thesis

Infinite mode quantum Gaussian states (Pro Quest link is here, if the link to Indian Statistical Institute is not working)