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Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices
N Linden1, S Popescu, W K Wootters
1School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom.
Physical Review Letters
|November 22, 2002
Abstract:
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.