  The all-versus-nothing proof of Bell nonlocality is a kind of mainstream
demonstration of Bell's theorem without inequalities. Two kinds of such proofs,
called the deterministic all-versus-nothing proof and the probabilistic
all-versus-nothing proof, are both widely investigated. So far, all previous
deterministic all-versus-nothing proofs of Bell nonlocality are constructed
based on stabilizer states. To break with this tradition, some deterministic
all-versus-nothing proofs induced from non-stabilizer states are firstly
presented in this work. These results not only can greatly enrich the family of
the demonstration of Bell nonlocality without inequalities, but also may
provide us some useful resources in certain quantum information processing.
