Publication details

Quantum tomography from incomplete data via MaxEnt principle

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BUŽEK Vladimír

Year of publication 2004
Type Chapter of a book
MU Faculty or unit

Faculty of Informatics

Description We show how the maximum entropy (MaxEnt) principle can be efficiently used for a reconstruction of states of quantum systems from incomplete tomographic data. This MaxEnt reconstruction scheme can be in specic cases several orders of magnitude more ecient than the standard inverse Radon transformation or the reconstruction via direct sampling using pattern functions. We apply the MaxEnt algorithm for a reconstruction of motional quantum states of neutral atoms. As an example we analyze the experimental data obtained by the group of C. Salomon at the ENS in Paris and we reconstruct Wigner functions of motional quantum states of Cs atoms trapped in an optical lattice. We also reconstruct Wigner functions of a cavity eld based on a measurement of the parity operator. We analyze in detail experimental data obtained by the group of S. Haroche at the ENS in Paris.
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