Abstract
Magnetoelectric coupling in helical multiferroics allows us 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 a frustrated ferromagnetic spin$\text{\ensuremath{-}}\frac{1}{2}$ 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 tool for quantum information with low power consumption.
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