2002/08/14 by Noah Linden, N. Linden, William K. Wootters +3 · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum Mechanics and Applications #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0208093
4 pages, no figures
arxiv created 2002/08/14 · arxiv updated 2009/12/01
We show that almost every pure state of multi-party quantum systems (each of whose local Hilbert space has the same dimension) is completely determined by the state's reduced density matrices of a fraction of the parties; this fraction is less than about two-thirds of the parties for states of large numbers of parties. In other words once the reduced states of this fraction of the parties have been specified, there is no further freedom in the state.