title: Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.
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.
authors.affiliation: School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom.
authors.forename: N
authors.initials: N
authors.lastname: Linden
authors.forename: S
authors.initials: S
authors.lastname: Popescu
authors.forename: W K
authors.initials: WK
authors.lastname: Wootters