Interferometric Interpretation Research Articles

Connection between single-layer quantum approximate optimization algorithm interferometry and thermal distribution sampling

The quantum approximate optimization algorithm (QAOA) was originally proposed to find approximate solutions to combinatorial optimization problems on quantum computers. However, the algorithm has also attracted interest for sampling purposes since it was theoretically demonstrated under reasonable complexity assumptions that one layer of the algorithm already engineers a probability distribution beyond what can be simulated by classical computers. In this regard, a recent study has also shown that, in universal Ising models, this global probability distribution resembles pure but thermal-like distributions at a temperature that depends on the internal correlations of the spin model. In this work, through an interferometric interpretation of the algorithm, we extend the theoretical derivation of the amplitudes of the eigenstates and the Boltzmann distributions generated by a single-layer QAOA. We also review the implications of this behavior from practical and fundamental perspectives.

Формирование трехмерного изображения рельефа земной поверхности в режиме синтезирования апертуры при вращении фазового центра приёмной антенны и разнесении приемо-передающего модуля

The features of 3D radar image formation during the synthesis of an artificial aperture due to rotation of the phase center of the receiving antenna and stationary diversed transceiver module have been considered during the interferometric interpretation of incoming data. The main mathematical relations, associated with determination of the relief height are given, the algorithm for processing the trajectory signal based on the interferometric approach, as well as the results of evaluating the efficiency of the proposed algorithm, obtained by computer simulation, are presented.

Polarization beating of random electromagnetic beams

We consider temporal interference of two stationary, quasi-monochromatic, partially polarized optical beams with different mean frequencies. We show that both the intensity and the polarization state, represented by the Stokes parameters, exhibit beating, i.e., periodic temporal variation with frequency specified by the difference of the mean frequencies. The contrasts, or visibilities, of the Stokes-parameter changes are characterized by the equal-time electromagnetic degree of coherence between the beams. If the beams are otherwise identical random processes, but with spectra centered at different frequencies, then the polarization modulation is characterized by the degree of polarization, consistently with a recent interferometric interpretation of this quantity. Our results provide insight into the role of polarization in beating of electromagnetic waves.

Interferometric interpretation for the degree of polarization of classical optical beams

We introduce an interferometric interpretation for the degree of polarization as a quantity characterizing the ability of a light beam to generate polarization modulation when it interferes with itself. The result is confirmed experimentally in Youngʼs interferometer with beams of controlled degree of polarization and by comparing to a standard polarimetric measurement. The new interpretation is a consequence of the electromagnetic interference law that we formulate for stationary, quasi-monochromatic, partially polarized light beams in time domain. Our work provides fundamental insight into the role of polarization in electromagnetic coherence and interference.

Malus Law in terms of the geometric phase

The aim of the present work is the description of the commonly known Malus law as the interference of two waves. We have proposed two cases: interference of two waves with different intensities and equal phases and interference of two waves with different phases and equal intensities. The first case can be realized by decomposition of the polarization state of the light incident on the analyzer into base of linearly polarized waves. In the second case the base of circularly polarized waves should be chosen. This last option allows applying of the geometric phase concept to the Malus law. Full Text: PDF References P. Kurzynowski, W.A. Woźniak, M. Szarycz, "Geometric phase: two triangles on the Poincaré sphere", J. Opt. Soc. Am. A 28, pp. 475-482 (2011). CrossRef W.A. Woźniak, P. Kurzynowski, M. Zdunek, "Malus Law – interferometric interpretation", Opt. Appl. Vol. XLIII, No. 2, (2013). DirectLink

Analysis of the interferometric Ronchi test

It is well known that the Ronchi test has two equivalent interpretations, Physical, as an interferometer, or geometrical, as if the fringes were just shadows from the fringes on the ruling. The second interpretation is nearly always used in practice because it is simpler. However, the disadvantage is that the irradiance profile of the fringes cannot be calculated with this theory. Here, the interferometric interpretation of the test will be used to obtain the irradiance profile and the sharpness of the fringes.