XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Tiju Cherian John

Infinite mode quantum Gaissian States

Quantum Gaussian states on Bosonic Fock spaces are quantum versions of Gaussian distributions. A systematic study of the quantum Gaussian states in the infinite mode setting is initiated in this work. This naturally leads to Type I quasifree states on CCR-algebra and Hilbert-Schmidt, Trace class restrictions on the covariance operators. We characterise the quantum Gaussian states using the properties on covariance operators and extend many of the results of K. R. Parthasarathy in this theory, to the infinite mode case. This include various characterizations, convexity and symmetry properties. This is a joint work with B. V. Rajarama Bhat and R. Srinivasan.

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of Bialystok
University of Bialystok

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