This study examines the simulation of quantum algorithms on a classical computer. The program code implemented on a classical computer will be a straight connection between the mathematical formulation of quantum mechanics and computational methods. The computational language will include formulations such as quantum state, superposition and quantum operator.

Generalization of the harmonic superposition rule for the case of dependent choice of harmonic functions is given. Dependence of harmonic functions from all (relative and overall) transverse coordinates is considered using the BeltramiLaplace operator. Supersymmetry of IIB 10D supergravity solutions with only non-vanished 5-form field and 11D supergravity solutions is discussed.

A retarded time superposition principle is formulated and proved for two-particle correlation function in a multispecies relativistic, and fully electromagnetic plasma. This principle is used to obtain the relativistic collision operator. Starting from the relativistic Klimontovich equation, the statistical (Liouville) average of the Klimontovich equation yields an expression for the collision ...

The importance of transporting quantum information and entanglement with high fidelity cannot be overemphasized. We present a scheme based on adiabatic passage that allows for transportation of a qubit, operator measurements, and entanglement, using a one-dimensional array of quantum sites with a single sender Alice and multiple receivers Bobs . Alice need not know which Bob is the receiver, an...

The stability of a quantum superposition of two different stationary mass distributions is examined, where the perturbing effect of each distribution on the space-time structure is taken into account, in accordance with the principles of general relativity. It is argued that the definition of the time-translation operator for the superposed space-times involves an inherent ill-definedness, lead...

Abstract In the loop quantum gravity framework, spin network states carry entanglement between excitations of geometry at different space points. This intertwiner is gauge-invariant and comes from superposition spins intertwiners. Bipartite can be interpreted as a witness distance, while multipartite reflects curvature geometry. The present work investigates how bipartite changes under action h...

Abstract We characterize all pairs of entire functions $$(u,\psi )$$ ( u , ψ ) for which the induced weighted superposition operator $$S_{(u,\psi )}$$ S transforms one Fock space ...

Composition, superposition, and encapsulation are important techniques that work well together for designing large distributed software systems. Composition is a symmetric operator that allows system components to communicate with each other across module boundaries. Superposition is an asymmetric relationship that allows one system component to observe the state of another. Encapsulation is th...