K.R. Parthasarathy’s contributions to quantum Gaussian distributions and applications

1. K.R. Parthasarathy, What is a Gaussian state? Communications on Stochastic Analysis, Vol. 4, No. 2, Article 2, 2010. https://doi.org/10.31390/cosa.4.2.02 Available at: https://repository.lsu.edu/cosa/vol4/iss2/2

2. K.R. Parthasarathy, The symmetry group of Gaussian states in \(L^2(\mathbb{R}^n)\). Springer Proceedings in Mathematics and Statistics, 2013, 33, pp. 349-369 https://link.springer.com/chapter/10.1007/978-3-642-33549-5_21

3. K.R. Parthasarathy, Symplectic dilations, Gaussian states and Gaussian channels. Indian Journal of Pure and Applied Mathematics, Vol. 46, No. 4, pp. 419–439, 2015. https://doi.org/10.1007/s13226-015-0144-5

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4. K.R. Parthasarathy, Quantum stochastic calculus and quantum Gaussian processes. Indian Journal of Pure and Applied Mathematics, Vol. 46, No. 6, pp. 781-807, 2015. https://doi.org/10.1007/s13226-015-0157-0

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5. K.R. Parthasarathy, R. Sengupta, Exchangeable, stationary, and entangled chains of Gaussian states. Journal of Mathematical Physics, 56 (10), 102203, 2015. https://doi.org/10.1063/1.4932959

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6. B.V. Rajarama Bhat, K.R. Parthasarathy, R. Sengupta, On the equivalence of separability and extendability of quantum states. Reviews in Mathematical Physics, Vol. 29, No. 04, 1750012, 2017. https://doi.org/10.1142/S0129055X1750012X

7. T.C. John, K.R. Parthasarathy, A common parametrization for finite mode Gaussian states, their symmetries, and associated contractions with some applications. Journal of Mathematical Physics 62, 022102, 2021. https://doi.org/10.1063/5.0019413

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8. K.R. Parthasarathy, Computation of sandwiched relative-entropy of two n-mode Gaussian states. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2022, Vol. 25, No. 2, 2250008 https://doi.org/10.1142/S0219025722500084

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9. K.R. Parthasarathy, Twisted convolution quantum information channels, one-parameter semigroups and their generators. Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 25, No. 4, 2240006, 2022. https://doi.org/10.1142/S0219025722400069

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10. D. Poletti, Characterization of Gaussian Quantum Markov Semigroups, Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 25, No. 4, 2250014, 2022. https://doi.org/10.1142/S021902572250014X

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