Investigations of Quantum Cellular Automata in a Two Dimensional Lattice
1 comments Posted by Dagwood EngelbergYiyang Gong
Abstract
Quantum Cellular Automata (QCA) is a feasible method of manipulating a system of qubits carrying quantum information, as the same operations are applied to the entire system. With the proper initial conditions and boundaries for a two dimensional lattice, the state of one qubit can be transported to another qubit on the lattice using QCA. Such a phenomenon represents the possibility of a communication channel between different positions on the lattice. Simulations of the two-dimensional lattice using the stabilizer formalism with proper initial and boundary conditions are demonstrated. Furthermore, various errors on the gates of the system are simulated, and error probabilities on the final results are reported. Finally, encoding schemes using qubit arrays are also investigated.
Pertaining to: Boundary Conditions, Computation, Initial Conditions, Systems
Pertaining to: Artificial Intelligence, Computation, Systems
On Stability of Switched Linear Hyperbolic Conservation Laws with Reflecting Boundaries
1 comments Posted by Dagwood EngelbergAmin, Saurabh; Hante, Falk M.; and Bayen, Alexandre M.
Abstract
We consider stability of an infinite dimensional switching system, posed as a system of linear hyperbolic partial differential equations (PDEs) with reflecting boundaries, where the system parameters and the boundary conditions switch in time. Asymptotic stability of the solution for arbitrary switching is proved under commutativity of the advective velocity matrices and a joint spectral radius condition involving the boundary data.
Pertaining to: Boundary Conditions, Dimensions, PDE, Systems
Pozhela, Yu K; Starikov, E V; and Shiktorov, P N.
Abstract
The frequency dependence of the longitudinal differential mobility of hot electrons is calculated using velocity averaging over the before- and after- scattering ensembles by the single-particle Monte Carlo simulation of the steady state. A dynamic negative differential mobility (NOM), due to the transit-time resonance of hot electrons in the momentum space under the predominant role of spontaneous emission of optical phonons at low lattice temperature, is observed in n-lnP. The frequency- and field-behaviour of the NOM and the noise characteristics, as well as the possibilities to use the effect for amplification and generation of the millimetre-wave radiation, are investigated. The techniques for the experimental investigation of the transit-time resonance are discussed. The noise temperature measurements are shown to be the most suitable tool for this. The transit-time resonance characteristics in n-lnP are compared with the experimentally realized and theoretically calculated parameters of the cyclotron resonance NEMAG in p-Ge. The conditions for the generation and amdification are found to be better in the former case than in the latter one.
Constructivistic Ontology for Superconformal Sinusoidal Interpolations
0 comments Posted by Dagwood EngelbergMnemopolous, A.; Ptythylhlyl, B.
ACDCA White Paper 9-12
Abstract
The algebraic domain of semi-structured data is appropriate to a spacelike universe with little or no information, but it is a quasilocal gravitational field described by asymptotically intelligent dissipation systems that orients relevant 5th Dimensional anti-de Sitter manifolds with respect to the introduction of an ordinary entropy constant (which is nevertheless variable with respect to Planck scale variations in the metric tensor).
Pertaining to: Dimensions, Interpolation, Ontology, Systems
