Quantum control of continuous systems via nonharmonic potential modulation
arxiv(2023)
摘要
We present a theoretical proposal for preparing and manipulating a state of a
single continuous-variable degree of freedom confined to a nonharmonic
potential. By utilizing optimally controlled modulation of the potential's
position and depth, we demonstrate the generation of non-Gaussian states,
including Fock, Gottesman-Kitaev-Preskill, multi-legged-cat, and cubic-phase
states, as well as the implementation of arbitrary unitaries within a selected
two-level subspace. Additionally, we propose protocols for single-shot
orthogonal state discrimination and algorithmic cooling and analyze the
robustness of this control scheme against noise. Since all the presented
protocols rely solely on the precise modulation of the effective nonharmonic
potential landscape, they are relevant to several experiments with
continuous-variable systems, including the motion of a single particle in an
optical tweezer or lattice, or current in circuit quantum electrodynamics.
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