Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.
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.
Linden
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School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom.
Popescu
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Wootters
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