4 papers
Abelianization of the Hitchin connection at level four
Thomas Baier, Michele Bolognesi, Johan Martens +1
We prove that the Hitchin connection for at level four can be understood in terms of the Mumford-Welters connections on bundles of abelian theta functions for…
Fibering polarizations and Mabuchi rays on symmetric spaces of compact type
Thomas Baier, Ana Cristina Ferreira, Joachim Hilgert +2
In this paper, we describe holomorphic quantizations of the cotangent bundle of a symmetric space of compact type , along Mabuchi rays of $…
Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem
Thomas Baier, Joachim Hilgert, Oğuzhan Kaya +2
In this paper we use techniques of geometric quantization to give a geometric interpretation of the Peter--Weyl theorem. We present a novel approach to half-form corrected geometri…
Comparison of some methods of quantum state estimation
Th. Baier, K. M. Hangos, A. Magyar +1
In the paper the Bayesian and the least squares methods of quantum state tomography are compared for a single qubit. The quality of the estimates are compared by computer simulatio…