A quantum information device, comprising: a plurality of quantum mechanical oscillators, comprising: a first data quantum mechanical oscillator configured to store information representing a first data state; and a first ancilla quantum mechanical oscillator coupled to the first data quantum mechanical oscillator, the first ancilla quantum mechanical oscillator configured to store information representing a first ancilla state, wherein the first ancilla state is initialized as a first Gottesman-Kitaev-Preskill state; at least one electromagnetic radiation source coupled to the plurality of quantum mechanical oscillators and configured to apply one or more drive waveforms to one or more of the first data quantum mechanical oscillator and the first ancilla quantum mechanical oscillator, the one or more drive waveforms being configured to sequentially entangle and disentangle the information stored in the first data quantum mechanical oscillator and the information stored in the first ancilla quantum mechanical oscillator; and at least one measurement device coupled to the first ancilla quantum mechanical oscillator, the at least one measurement device configured to measure a position quadrature operator and a momentum quadrature operator of the first ancilla quantum mechanical oscillator, wherein: the one or more drive waveforms further comprise displacement drive waveforms applied to the first data quantum mechanical oscillator to correct an error in the information stored in the first data quantum mechanical oscillator, the displacement drive waveforms being determined using the measured position and momentum quadrature operators of the first ancilla quantum mechanical oscillator. a plurality of quantum mechanical oscillators, comprising: a first data quantum mechanical oscillator configured to store information representing a first data state; and a first ancilla quantum mechanical oscillator coupled to the first data quantum mechanical oscillator, the first ancilla quantum mechanical oscillator configured to store information representing a first ancilla state, wherein the first ancilla state is initialized as a first Gottesman-Kitaev-Preskill state; a first data quantum mechanical oscillator configured to store information representing a first data state; and a first ancilla quantum mechanical oscillator coupled to the first data quantum mechanical oscillator, the first ancilla quantum mechanical oscillator configured to store information representing a first ancilla state, wherein the first ancilla state is initialized as a first Gottesman-Kitaev-Preskill state; at least one electromagnetic radiation source coupled to the plurality of quantum mechanical oscillators and configured to apply one or more drive waveforms to one or more of the first data quantum mechanical oscillator and the first ancilla quantum mechanical oscillator, the one or more drive waveforms being configured to sequentially entangle and disentangle the information stored in the first data quantum mechanical oscillator and the information stored in the first ancilla quantum mechanical oscillator; and at least one measurement device coupled to the first ancilla quantum mechanical oscillator, the at least one measurement device configured to measure a position quadrature operator and a momentum quadrature operator of the first ancilla quantum mechanical oscillator, wherein: the one or more drive waveforms further comprise displacement drive waveforms applied to the first data quantum mechanical oscillator to correct an error in the information stored in the first data quantum mechanical oscillator, the displacement drive waveforms being determined using the measured position and momentum quadrature operators of the first ancilla quantum mechanical oscillator.