Disentangling theorem and monogamy for entanglement negativity

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the entanglement negativity: a disentangling theorem, which allows the use of this entanglement measure as a means to detect whether a wave function of three subsystems A, B, and C factorizes into a product state for parts AB(1) and B2C; and a monogamy relation conjecture based on entanglement negativity, which states that if A is very entangled with B, then A cannot be simultaneously very entangled also with C.