Hemant Kumar Mishra
Indian Institute of Technology Dhanbad, Cornell University, Louisiana State University
About
I am an Assistant Professor in the Department of Mathematics and Computing at IIT (ISM) Dhanbad since October 2024.
Previously, I was a Postdoctoral Associate at Cornell University during Jul 2022-Sep 2024, and a Research Associate at Louisiana State University during Feb 2022-Jun 2022 under the mentorship of Professor Mark Wilde. I earned a Ph.D. from the esteemed Indian Statistical Institute Delhi in October 2021 under the guidance of Professor Tanvi Jain. My Ph.D. thesis is an exposition of differential and subdifferential properties of symplectic eigenvalues, along with a symplectic analog of the well-known Lidskii's theorem for eigenvalues. I received an M.Sc. degree in Mathematics and Computing in May 2016 from the Indian Institute of Technology Guwahati, India.
My primary research interests lie in matrix analysis and continuous-variable quantum information—the mathematical framework to understand and characterize quantum states of light—with a special focus on quantum systems with bosonic particles exhibiting Gaussian characteristics in their quantum states. Other areas of my active research involve classical and quantum hypothesis testing, quantum entanglement, and quantum entropy.
Employment
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Indian Institute of Technology Dhanbad Assistant Professor2024 - Present
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Cornell University Postdoctoral Associate2022 - 2024
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Louisiana State University Research Associate2022 - 2022
Education
Education history is unavailable.
Projects & Funding
Projects & funding information is unavailable.
Publications (11)
- Simultaneous symplectic spectral decomposition of positive semidefinite matrices Save
- Barycentric Bounds on the Error Exponents of Quantum Hypothesis Exclusion Save
- Equality in some symplectic eigenvalue inequalities Save
- Multivariate fidelities Save
- Majorization in some symplectic weak supermajorizations Save
- Pretty good measurement for bosonic Gaussian ensembles Save
- On the optimal error exponents for classical and quantum antidistinguishability Save
- Block perturbation of symplectic matrices in Williamson’s theorem Save
- Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation Save
- Derivatives of symplectic eigenvalues and a Lidskii type theorem Save