We comprehensively review the quantum theory of the polarization properties of light. In
classical optics, these traits are characterized by the Stokes parameters, which can be …

Generalized SU(2) covariant Wigner functions and some of their applications - IOPscience
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The review of new formulation of conventional quantum mechanics where the quantum
states are identified with probability distributions is presented. The invertible map of density …

We map the density matrix of the qubit (spin-1/2) state associated with the Bloch sphere and
given in the tomographic probability representation onto vertices of a triangle determining …

We present an error analysis of various tomographic protocols based on the linear inversion
for the reconstruction of an unknown two-qubit state. We solve the problem of finding a …

Thermodynamics is a theory of principles that permits a basic description of the macroscopic
properties of a rich variety of complex systems from traditional ones, such as crystalline …

Polarization is one of light's most versatile degrees of freedom for both classical and
quantum applications. The ability to measure light's state of polarization and changes …

Mutually unbiased bases (MUBs) are considered within the framework of a generic star-
product scheme. We rederive that a full set of MUBs is adequate for a spin tomography, ie …

We formulate a new conceptual approach for one-shot complete polarization state
measurement with nanostructured metasurfaces applicable to classical light and …

We examine the geometric structure of qutrit state space by identifying the outcome
probabilities of symmetric informationally complete (SIC) measurements with quantum …