Selective cloning of Gaussian states by linear optics

We investigate the performances of a selective cloning machine based on linear optical elements and Gaussian measurements, which allows to clone at will one of the two incoming input states. This machine is a complete generalization of a 1 to 2 cloning scheme demonstrated by U. L. Andersen et al. [Phys. Rev. Lett. vol. 94, 240503 (2005)]. The input-output fidelity is studied for generic Gaussian input state and the effect of non-unit quantum efficiency is also taken into account. We show that if the states to be cloned are squeezed states with known squeezing parameter, then the fidelity can be enhanced using a third suitable squeezed state during the final stage of the cloning process. A binary communication protocol based on the selective cloning machne is also discussed.Comment: 6 pages, 6 figure

Current US algae biorefineries, projects and perspectives

Large challenges remain to take advantage of algae (cyanobacteria, microalgae, and macroalgae) as a bioenergy, biofuels, and bioproducts crop. Traditional applications in the nutraceutical and food industry, have shown more promise. New efforts in combining a biorefinery approach with wastewater treatment, anaerobic digestion, and biomass utilization are becoming more popular and successful towards providing a middle ground for implementation of algae cultivation systems. An overview will be provided of the growth in fundamental and applied algae research in recent years, which will include a review of the scientific literature and key programs in bioenergy in the US leading to a resurgence and interest in algae. With this presentation, a discussion will ensue on the challenges being tackled to make the algae biorefinery a viable industry, including progress and opportunities available to develop algae as a key crop for the bioenergy and the bioproducts industries.Universidad de Málaga.Campus de Excelencia Internacional Andalucia Tec

Quadrupole transitions in the bound rotational-vibrational spectrum of the deuterium molecular ion

After the study of the three body molecular system H$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101), its isotopomer, the deuterium molecular ion D$_2^+$ is studied. The three-body Schr\"odinger equation is solved using the Lagrange-mesh method in perimetric coordinates. Energies and wave functions for four vibrational states $v=0-3$ and bound or quasibound states for total orbital momenta from 0 to 56 are calculated. The 1986 fundamental constant $m_d=3670.483014\,m_e$ is used. The obtained energies have an accuracy from about 13 digits for the lowest vibrational state to at least 9 digits for the third vibrational excited state. Quadrupole transition probabilities per time unit between those states over the whole rotational bands were calculated. Extensive results are presented with six significant figures.Comment: 19 pages, 5 figure