3 papers
quant-ph2019
A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications
Tiju Cherian John, K. R. Parthasarathy
Let be the boson Fock space over a finite dimensional Hilbert space . It is shown that every gaussian symmetry admits a Klauder-Bargmann integral repr…
quant-ph2018
Infinite Mode Quantum Gaussian States
B. V. Rajarama Bhat, Tiju Cherian John, R. Srinivasan
Quantum Gaussian states on Bosonic Fock spaces are quantum versions of Gaussian distributions. In this paper, we explore infinite mode quantum Gaussian states. We extend many of th…
math.SP2018
Real Normal Operators and Williamson's Normal Form
B V Rajarama Bhat, Tiju Cherian John
A simple proof is provided to show that any bounded normal operator on a real Hilbert space is orthogonally equivalent to its transpose(adjoint). A structure theorem for invertible…