  Magnetoelectric coupling in helical multiferroics allows to steer spin order
with electric fields. Here we show theoretically that in a helical multiferroic
chain quantum information processing as well as quantum phases are highly
sensitive to electric (E) field. Applying E-field, the quantum state transfer
fidelity can be increased and made directionally dependent.
  We also show that E field transforms the spin-density-wave/nematic or
multipolar phases of frustrated ferromagnetic spin-1/2 chain in chiral phase
with a strong magnetoelectric coupling. We find sharp reorganization of the
entanglement spectrum as well as a large enhancement of fidelity susceptibility
at Ising quantum phase transition from nematic to chiral states driven by
electric field. These findings point to a new tool for quantum information with
low power consumption.
