General non-additive entropic forms and the inference of quantum density operators

N. CANOSA; R. ROSSIGNOLI

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Lugar: Amsterdam; Año: 2005 vol. 348 p. 121 - 127

0378-4371

We discuss a general formalism for the inference of quantum density operators from incomplete information, based on the maximization of general non-additive entropic forms, and its application to the reconstruction of mixed states of composite quantum systems from Bell measurements. The method provides a direct way to infer least biased densities with minimum entanglement for any data based on  Bell  constraints  in  two  qubit systems, in contrast with the conventional scheme based on the von Neumann entropy. In particular, it is shown that in this case fake entanglement is always avoided for large q when the Tsallis entropy is employed.