Phys. Rev. Lett. 89, 277906 (2002) [4 pages]The Parts Determine the Whole in a Generic Pure Quantum StateReceived 18 September 2002; published 20 December 2002 We show that almost every pure state of multiparty 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.277906
DOI:
10.1103/PhysRevLett.89.277906
PACS:
03.67.–a, 03.65.Ta, 03.65.Ud
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