Kinematics equations

In quantum information theory, the Wehrl entropy, named after A. Wehrl, is a type of quasi-entropy defined for the Husimi Q representation Q(x,p) of the phase-space quasiprobability distribution. It is defined as

$S_Q=-\int Q(x,p)\log Q(x,p)dxdp.$

Such a definition of entropy relies on the fact that the Husimi Q representation remains non-negative definite, unlike other representations of quantum quasiprobability distributions in phase space.

However, it is not the fully quantum von Neumann entropy in the Husimi representation in phase space, Buying, selling and renting HDB and personal residential properties in Singapore are simple and transparent transactions. Although you are not required to engage a real property salesperson (generally often known as a "public listed property developers In singapore agent") to complete these property transactions, chances are you'll think about partaking one if you are not accustomed to the processes concerned.

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$\star \equiv \exp (\frac{\hslash }{2}({\overleftarrow{\partial }}_x-i{\overleftarrow{\partial }}_p)({\overrightarrow{\partial }}_x+i{\overrightarrow{\partial }}_p)),$

and are isomorphic to the Moyal products of the Wigner–Weyl representation.

The Wehrl entropy, then, may be thought of as a type of heuristic semiclassical approximation to the full quantum von Neumann entropy, since it retains some ħ dependence, through Q, but not all of it.

Like all entropies, it reflects some measure of non-localization, as the Gauss transform involved in generating Q and the sacrifice of the star operators have effectively discarded information. In general, the Wehrl entropy exceeds the von Neumann entropy (which vanishes for pure states) for the same state.

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