We address in this work the problem of minimizing quantum entropies under local constraints. suppose that macroscopic quantities, such as particle density, current, and kinetic energy, are fixed at each point [Formula: see text] look for a density operator over text], an entropy functional. Such minimizers referred to Gibbs states. This setting is contrast with classical prescribing global cons...

Multinomial Data By KWANG WOO AHN and KUNG-SIK CHAN Department of Statistics and Actuarial Science, The University of Iowa, Iowa City, IA USA [email protected] [email protected] Summary We propose a new, block Gibbs sampling scheme for incomplete multinomial data. The new approach facilitates maximal blocking, thereby reducing serial dependency and speeding up the convergence of the ...