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Phys. Rev. Lett. 89, 207901 (2002) [4 pages]

Almost Every Pure State of Three Qubits Is Completely Determined by Its Two-Particle Reduced Density Matrices

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N. Linden1, S. Popescu2, and W. K. Wootters3
1School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom
2H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
3Department of Physics, Williams College, Williamstown, Massachusetts 01267

Received 18 July 2002; published 24 October 2002

In a system of n quantum particles, we define a measure of the degree of irreducible n-way correlation, by which we mean the correlation that cannot be accounted for by looking at the states of n-1 particles. In the case of almost all pure states of three qubits, we show that there is no such correlation: almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.207901
DOI:
10.1103/PhysRevLett.89.207901
PACS:
03.67.-a, 03.65.Ta, 03.65.Ud