17 citations · 27 across the 7 of their papers we have counts for
8 papers
Derivatives of symplectic spectral functions
Hemant K. Mishra, Niloy Paul, Temjensangba
A symplectic spectral function of a real positive definite matrix is a function of its symplectic eigenvalues , which is given…
Lidskii theorem for directional derivatives of symplectic eigenvalues
Hemant K. Mishra
In this paper, we present a refinement of the symplectic Lidskii theorem for directional derivatives of symplectic eigenvalues, which is inspired by the work of Sendov [Electron. J…
Majorization between symplectic spectra of positive semidefinite matrices
Temjensangba, Hemant K. Mishra, Niloy Paul
Given real symmetric positive semidefinite matrix with symplectic kernel, there exists a real \emph{symplectic matrix} such that $M^TAM= D \op…
On generalization of Williamson's theorem to real symmetric matrices
Hemant K. Mishra
Williamson's theorem states that if is a real symmetric positive definite matrix then there exists a real symplectic matrix such that $M^T A M…
Block perturbation of symplectic matrices in Williamson's theorem
Gajendra Babu, Hemant K. Mishra
Williamson's theorem states that for any real positive definite matrix , there exists a real symplectic matrix such that , wh…
Pretty good measurement for bosonic Gaussian ensembles
Hemant K. Mishra, Ludovico Lami, Prabha Mandayam +1
The pretty good measurement is a fundamental analytical tool in quantum information theory, giving a method for inferring the classical label that identifies a quantum state chosen…
First order sensitivity analysis of symplectic eigenvalues
Hemant K. Mishra
For every positive definite matrix there are positive numbers associated with called the symplectic eigenvalues of …
Derivatives of symplectic eigenvalues and a Lidskii type theorem
Tanvi Jain, Hemant K. Mishra
Associated with every real positive definite matrix there exist positive numbers called the symplectic eigenvalues of and a basis of c…