/ 01 03 15 8 v 2 3 0 M ar 2 00 1 More Is Not Necessarily Easier

ar X iv : q ua nt - p h / 01 03 15 8 v 3 5 J ul 2 00 1 More Is Not Necessarily Easier

We consider pure bipartite states shared by Alice and Bob. Let A and B be the labels of their respective quantum systems, each with d dimensions. Suppose Alice and Bob want to transform a state |ψ〉 to another state |φ〉. They each have complete classical descriptions of the states, but they can only perform Local quantum Operations and Classical Communication (LOCC) [1]. The transformation can b...

ar X iv : q ua nt - p h / 01 03 15 8 v 1 2 9 M ar 2 00 1 More Is Not Necessarily Easier

We consider pure bipartite states shared by Alice and Bob. Let A and B be the labels of their respective quantum systems, each with d dimensions. Suppose Alice and Bob want to transform a state |ψ〉 to another state |φ〉, and they each have complete classical descriptions of the states. We focus on exact and deterministic transformation using only Local quantum Operations and Classical Communicat...

Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems

This work deals with the H1 condition numbers and the distribution of the ~ N;Msingular values of the preconditioned operators f~ 1 N;M WN;M ÂN;Mg. ÂN;M is the matrix representation of the Legendre Spectral Collocation discretization of the elliptic operator A de ned by Au := u + a1ux + a2uy + a0u in (the unit square) with boundary conditions: u = 0 on 0; @u @ A = u on 1. ~ N;M is the sti ness ...

ar X iv : a st ro - p h / 01 03 44 4 v 1 2 7 M ar 2 00 1 From Centimeter to Millimeter Wavelengths : A High Angular Resolution Study of 3 C 273

We monitored 3C 273 with VLBI at 15–86 GHz since 1990. We discuss component trajectories, opacity effects, a rotating jet, and outburst-ejection relations from Gamma-ray to radio bands.

ar X iv : h ep - t h / 01 03 09 3 v 1 1 3 M ar 2 00 1 Physical Aspects of the Space - Time Torsion