Quantum-dot and ion-trap technologies are applied to implementation of quantum computers. Quantum mechanical systems constructed by the considered as networks charged particles. In this paper, we present first that described coupled parametric harmonic oscillators (CQPHOs). Second, CQPHOs modeled a system nonlinear stochastic ordinary differential equations (NSODEs). The NSODEs consist determin...

Unitary coupled cluster (UCC) approaches are an appealing route to utilizing quantum hardware perform chemistry calculations, as computers can in principle UCC calculations a polynomially scaling fashion, compared with the exponential required on classical computers. Current noisy intermediate scale limited by both capacity number of logical qubits and noise introduced deep circuits for using v...

in the current study, the effects of interactions of the moving loads and the attached mass-spring-damper systems of the composite plates on the resulting dynamic responses are investigated comprehensively, for the first time, using the classical plate theory. the solution of the coupled governing system of equations is accomplished through tracing the spatial variations using a navier-type sol...

In this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. Several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. Then we investigate for a ring $R$, when any fi...

Classical stochastic processes can be generated by quantum simulators instead of the more standard classical ones, such as hidden Markov models. One reason for using quantum simulators is that they generally require less memory than their classical counterparts. Here, we examine this quantum advantage for strongly coupled spin systems—the Dyson-like one-dimensional Ising spin chain with variabl...

We address the issue of coupling variables which are essentially classical to variables that are quantum. Two approaches are discussed. In the first (based on collaborative work with L.Diósi), continuous quantum measurement theory is used to construct a phenomenological description of the interaction of a quasiclassical variable X with a quantum variable x, where the quasiclassical nature of X ...

Trajectory-based mixed quantum-classical approaches to coupled electron-nuclear dynamics suffer from well-studied problems such as the lack of (or incorrect account for) decoherence in the trajectory surface hopping method and the inability of reproducing the spatial splitting of a nuclear wave packet in Ehrenfest-like dynamics. In the context of electronic nonadiabatic processes, these problem...

This paper is a sequel to one in which we examined the affine symmetry algebras of arbitrary classical principal chiral models and symmetric space models in two dimensions. It examines the extension of those results in the presence of gravity. The main result is that even though the symmetry transformations of the fields depend on the gravitational background, the symmetry algebras of these cla...

We study the role of continuous measurement in the quantum to classical transition for a system with coupled internal ~spin! and external ~motional! degrees of freedom. Even when the measured motional degree of freedom can be treated classically, entanglement between spin and motion causes strong measurement back action on the quantum spin subsystem so that classical trajectories are not recove...

We study the difference between quantum and classical behavior in a pair of nonidentical cavities with second-harmonic generation. In the classical limit, each cavity has a limit-cycle solution, in which the photon number oscillates periodically in time. Coupling between the cavities leads to synchronization of the oscillations and classical correlations between the cavities. In the quantum lim...