Dissipation in computation

Dissipation-assisted quantum computation in atom-cavity systems

The principal obstacle to quantum information processing with many qubits is decoherence. One source of decoherence is spontaneous emission which causes loss of energy and information. Inability to control system parameters with high precision is another possible source of error. Strategies aimed at overcoming one kind of error typically increase sensitivity to others. As a solution we propose ...

Discontinuity-capturing Directional Dissipation (dcdd) in Computation of Turbulent Flows

Abstract. Stabilized formulations are now widely used in the computation of turbulent flows. The Streamline-Upwind/Petrov-Galerkin (SUPG) and Pressure-Stabilizing/PetrovGalerkin (PSPG) methods are among the most popular stabilized formulations. The Discontinuity Capturing Directional Dissipation (DCDD) was first introduced as a complement to the SUPG and PSPG stabilizations for the computation ...

Refocusing schemes for holonomic quantum computation in presence of dissipation

Due to the fragility of quantum coherence in the presence of noise, decoherence is the main obstacle to the practical realization of quantum computation. Exploring potential ways to implement robust quantum computation therefore is a crucial and attractive challenge. To the aim of stabilizing quantum information a variety of decoherence-reduction techniques have been developed, such as quantum ...

Attenuating Artificial Dissipation in the Computation of Navier-Stokes Turbulent Boundary Layers

Symbolic computation of turbulence and energy dissipation in the Taylor vortex model

Using a classic example proposed by G I Taylor we reconsider through the use of computer algebra the mathematical analysis of a fundamental pro cess in turbulent ow namely How do large scale eddies evolve into smaller scale ones to the point where they are e ectively absorbed by viscosity The explicit symbolic series solution of this problem even for cleverly chosen spe cial cases requires daun...