  We consider quantum entanglement of three accelerating qubits, each of which
is locally coupled with a real scalar field, without causal influence among the
qubits or among the fields. The initial states are assumed to be the GHZ and W
states, which are the two representative three-partite entangled states. For
each initial state, we study how various kinds of entanglement depend on the
accelerations of the three qubits. All kinds of entanglement eventually
suddenly die if at least two of three qubits have large enough accelerations.
This result implies the eventual sudden death of all kinds of entanglement
among three particles coupled with scalar fields when they are sufficiently
close to the horizon of a black hole.
