1207.3849 (Adam Sawicki et al.)

When is a pure state of three qubits determined by its single-particle
reduced density matrices?    [PDF]

Adam Sawicki, Michael Walter, Marek Kuś

Using techniques from symplectic geometry, we determine when a pure state of three qubits is up to local unitaries uniquely determined by its reduced density matrices. We moreover show that this is always the case if one is given the additional promise that the quantum state is not convertible to the Greenberger-Horne-Zeilinger (GHZ) state by stochastic local operations and classical communication (SLOCC).

View original: http://arxiv.org/abs/1207.3849