The application of quantum algorithms to the study many-particle systems requires ability prepare wavefunctions that are relevant in behavior system under study. Hamiltonian symmetries an important instrument, classify wavefunctions, and improve efficiency numerical simulations. In this work, circuits for exact approximate preparation total spin eigenfunctions on computers presented. Two differ...

We revisit spin-orbit coupling in a plasmonic Berry metasurface composed of rotated nanoapertures, which is known to imprint robust far-field polarization response. present scattering formalism that shows how spin-momentum locking emerges from the geometry unit cell without requiring global rotation symmetries. find and confirm with Mueller polarimetry measurements an approximate symmetry. The ...

‎in this paper lie symmetry analysis is applied in order to find new solutions for fokker plank equation of ornstein-uhlenbeck process‎. ‎this analysis classifies the solutions format of the fokker plank equation by using the lie algebra of the symmetries of our considered stochastic process‎.

This paper is devoted to the study of re$ectional symmetries of fuzzy objects. We introduce a symmetry measure which de8nes the degree of symmetry of an object with respect to a given plane. It is computed by measuring the similarity between the original object and its re$ection. The choice of an appropriate measure of comparison is based on the desired properties of the symmetry measure. Then,...

The recently proposed theories with TeV-scale quantum gravity do not have the usual ultraviolet desert between ∼ 103 −1019 GeV where effective field theory ideas apply. Consequently, the success of the desert in explaining approximate symmetries is lost, and theories of flavor, neutrino masses, proton longevity or supersymmetry breaking, lose their usual habitat. In this paper we show that thes...

Using renormalization group methods, we study the Heis-enberg-Ising XY Z chain in an external magnetic field directed as the z axis, in the case of small coupling J 3 in the z direction. We study the asymptotic behaviour of the spin space-time correlation function in the direction of the magnetic field and the singularities of its Fourier transform. The work is organized in two parts. In the pr...

For the first time exact analytical solutions to the eikonal equations in (1+ 1) dimensions with a refractive index being a saturated function of intensity are constructed. It is demonstrated that the solutions exhibit collapse; an explicit analytical expression for the self-focusing position, where the intensity tends to infinity, is found. Based on an approximated Lie symmetry group, solution...

The correlation function of meson interpolators in $N_f=2+1+1$ lattice QCD with optimal domain-wall quarks at the physical point are studied for six temperatures range $ T \sim$ 190-770 MeV. include a complete set Dirac bilinears, and each combinations quark flavors. In this paper, we focus on correlators $u$ $d$ quarks, discuss their implications effective restoration $U(1)_A$ $SU(2)_L \times ...

Title of dissertation: REPRESENTING AND QUERYING UNCERTAIN DATA Prithviraj Sen, Doctor of Philosophy, 2009 Dissertation directed by: Professor Lise Getoor Department of Computer Science Professor Amol Deshpande Department of Computer Science There has been a longstanding interest in building systems that can handle uncertain data. Traditional database systems inherently assume exact data and ha...