Publications
Natanael Alpay, Tiju Cherian John, Thermal states on Mittag-Leffler Fock space of the slitted plane, Journal of Mathematical Analysis and Applications, Volume 547, Issue 1, 2025, 129314, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2025.129314 ArXiv: arXiv:2306.14044
John, T. C., Kumar, V. B. K. and Tonny, A. 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
Androulakis, G. and John, T. C. 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
Androulakis, G. and John, T. C. 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
Androulakis, G. and John, T. C., 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!)
John, T. C. and Parthasarathy, K. R. 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
Bhat, B. V. R., and John, T. C. 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
Bhat, B. V. R, John, T. C. and Srinivasan, R. Infinite mode Quantum Gaussian States, Reviews in Mathematical Physics, Vol 31, 2019, DOI: 10.1142/S0129055X19500302 ;arXiv e-prints 1804.05049
Preprints
Guha, S., John, T. C. and Basu, P. Quantum-enhanced quickest change detection of transmission loss, Submitted.
John, T. C., Mishra, H., and Guha, S. A Complete Characterization of Passive Unitary Normalizable (PUN) Gaussian States, Submitted.
Devendra, R., John, T. C., and Sumesh, K., What is a Gaussian channel, and when is it physically implementable using a multiport interferometer?, Submitted.
PhD Thesis
Infinite mode quantum Gaussian states (Pro Quest link is here, if the link to Indian Statistical Institute is not working)