Distilling common randomness from bipartite quantum states
Igor Devetak, Andreas Winter
ISIT 2003
It is shown that, under certain conditions, orthonormalizing the positive integer shifts of an exponentially decaying function on the half line by the Gram-Schmidt process leads to a limiting profile given by orthonormalizing all their integer shifts on the whole line. These results derive from properties of Cholesky factorization of bi-infinite and semi-infinite matrices. An example is provided by the negative exponential function and conjectures are given, supported by numerical evidence, for the Gaussian and Lorentz function.
Igor Devetak, Andreas Winter
ISIT 2003
Sankar Basu
Journal of the Franklin Institute
David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009