Theoretical Statistics and Mathematics Unit, ISI Delhi

February 28, 2020 (Friday) ,
3:30 PM at Webinar

Speaker:
Tiju Cherian John,
ISI Delhi

Title:
A new parametrization of quantum gaussian states and some applications

Abstract of Talk

Quantum gaussian states are noncommutative analogues of normal distributions in classical probability. Traditionally, a gaussian state ona finite mode Boson Fock space is parametrized by its mean vector and
covariance matrix. We introduce a new parametrization of gaussian states, using the matrix entries in the continuous basis of exponential vectors. We will discuss some consequences and properties of this new parametrization, including a hierarchy of completely entangled pure gaussian states and a measure of entanglement for pure gaussian states. This is joint work with K. R. Parthasarathy.