Among many representations of the quantum state, the Wigner function offers an appealing possibility to describe quantum phenomena using the classical-like concept of phase space [1]. The Wigner function provides complete information on the state of a system, and it allows one to evaluate any quantum observable by phase space integration with an appropriate Wigner-Weyl ordered expression. Recen...

We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The distribution function is thus defined on discrete phase-space, i.e. on a finite discrete square grid. These discrete Wigner functions possess a number of properties similar to the Wigner function for a continuous quant...

We present a unified approach to quantum teleportation in arbitrary dimensions based on the Wigner-function formalism. This approach provides us with a clear picture of all manipulations performed in the telepor-tation protocol. In addition within the framework of the Wigner-function formalism all the imperfections of the manipulations can be easily taken into account. All quantum mechanical ph...

We completely characterize the Narcowich-Wigner spectrum of Wigner functions associated with pure states.

We present a unified approach to quantum teleportation in arbitrary dimensions based on the Wigner-function formalism. This approach provides us with a clear picture of all manipulations performed in the telepor-tation protocol. In addition within the framework of the Wigner-function formalism all the imperfections of the manipulations can be easily taken into account. All quantum mechanical ph...

Wigner Distribution, one of many methods to compute time frequency representation, satisfies large number of mathematical properties and gives optimal energy concentration in time frequency plane. However, Wigner distribution suffers from severe cross-term interference problem, which limits its scope for practical applications. Different modified versions of Wigner distribution have been develo...

The Wigner quasi-probability distribution function is a familiar tool to many working in quantum and atom optics [1]. It is primarily used in the classical-quantum correspondence where the appearance of positive and negative regions of the Wigner function gives easily understood information concerning the probability concentrations and quantum interferences present within the quantum state [2]....

The influence of long-range Coulomb forces on the persistent current of a pinned Wigner crystal-ring is considered. A simple method is proposed for how to take into account Coulomb effects for the macroscopic quantum tunneling of the Wigner crystal. It is shown that unscreened Coulomb interactions increase the stiffness of the Wigner lattice. This leads to additional suppression of the amplitud...

The connection between the instantaneous frequency and the angle derivative of the fractional power spectra is established. It permits to solve the signal retrieval problem if only two close fractional power spectra are known. This fact is used in the reconstruction of the Wigner distribution or the pseudo Wigner distribution from two close projections. Keywords—Wigner distribution, fractional ...

We show that a correct use of the Wigner Distribution (WD) for time-frequency signal analysis requires use of the analytic signal. This version, often referred to as the Wigner-Ville Distribution (WVD), is straightforward to compute, does not exhibit any aliasing problem, and introduces no frequency artifacts. The problems introduced by the use of the Wigner Distribution with a real signal are ...