Purity distribution for generalized random Bures mixed states

Purity distribution for bipartite random pure states

Bures volume of the set of mixed quantum states

We compute the volume of the (N2 − 1)-dimensional set MN of density matrices of size N with respect to the Bures measure and show that it is equal to that of an (N2 − 1)-dimensional hyper-hemisphere of radius 1/2. For N = 2 we obtain the volume of the Uhlmann hemisphere, 2 S 3 ⊂ R. We find also the area of the boundary of the set MN and obtain analogous results for the smaller set of all real d...

A Monte Carlo EM algorithm for generalized linear mixed models with flexible random effects distribution.

A popular way to represent clustered binary, count, or other data is via the generalized linear mixed model framework, which accommodates correlation through incorporation of random effects. A standard assumption is that the random effects follow a parametric family such as the normal distribution; however, this may be unrealistic or too restrictive to represent the data. We relax this assumpti...

Bures and Statistical Distance for Squeezed Thermal States

We compute the Bures distance between two thermal squeezed states and deduce the Statistical Distance metric. By computing the curvature of this metric we can identify regions of parameter space most sensitive to changes in these parameters and thus lead to optimum detection statistics.

generating a random sample from gamma distribution using generalized exponential distribution.

in this paper, we discuss generating a random sample from gamma distribution using generalized exponential distribution.