Lower Bounds of Concurrence for Multipartite States

We study the entanglement of multipartite quantum states. Some lower bounds of the multipartite concurrence are reviewed. We further present more effective lower bounds for detecting and qualifying entanglement, by establishing functional relations between the concurrence and the generalized partial transpositions of the multipartite systems.Comment: 13 page

Measuring dark matter-neutrino relative velocity on cosmological scales

We present a new method to measure neutrino masses using the dark matter-neutrino relative velocity. The relative motion between dark matter and neutrinos results in a parity-odd bispectrum which can be measured from cross-correlation of different cosmic fields. This new method is not affected by most systematics which are parity even and not limited by the knowledge of optical depth to the cosmic microwave background. We estimate the detectability of the relative velocity effect and find that the minimal sum of neutrino masses could be detected at high significance with upcoming surveys.Comment: 6 pages, 2 figures, 1 table, published versio

On High-Performance Parallel Decimal Fixed-point Multiplier Designs

Decimal computations are required in finance, and etc. Precise representation for decimals (E.g. 0.2, 0.7… ) Performance Requirements (Software simulations are very slow