Distilling common randomness from bipartite quantum states
Igor Devetak, Andreas Winter
ISIT 2003
We present a theoretical foundation for studying parametric systems of linear equations and prove an efficient algorithm for identifying all parametric values (including degenerate cases) for which the system is consistent. The algorithm gives a small set of regimes where for each regime, the solutions of the specialized systems may be given uniformly. For homogeneous linear systems, or for systems where the right hand side Is arbitrary, this small set is irredundant. We discuss in detail practical issues concerning implementations, with particular emphasis on simplification of results, Examples are given based on a close implementation of the algorithm in SCRATCHPAD II. We also give a complexity analysis of the Gaussian elimination method and compare that with our algorithm. © 1992, Academic Press Limited. All rights reserved.
Igor Devetak, Andreas Winter
ISIT 2003
Y.Y. Li, K.S. Leung, et al.
J Combin Optim
Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
Robert Manson Sawko, Malgorzata Zimon
SIAM/ASA JUQ