  Measurement-based quantum computation is a novel model of quantum computing
where universal quantum computation can be done with only local measurements on
each particle of a quantum many-body state, which is called a resource state.
One large difference of the measurement-based model from the circuit model is
the existence of byproducts. In the circuit model, a desired unitary U can be
implemented deterministically, whereas the measurement-based model implements
BU, where B is an additional operator, which is called a byproduct. In order to
compensate byproducts, following measurement angles must be adjusted. Such a
feed-forwarding requires some classical processing and tuning of the
measurement device, which cause the delay of computation and the additional
decoherence. Is there any byproduct-free resource state? Here we show that if
we respect the no-signaling principle, which is one of the most fundamental
principles of physics, no universal resource state can avoid byproducts.
