![]() These unique capabilities motivate bringing mechanical devices into the quantum domain by interfacing them with engineered quantum circuits. ![]() ![]() Precisely engineered mechanical oscillators keep time, filter signals and sense motion, making them an indispensable part of the technological landscape of today. Moreover, it can also be extended to generate a four-component cat state and provide new possibilities for future quantum applications of NGSs. The protocol can be implemented with state-of-the-art experimental systems with close to unit fidelity. Then, a principally deterministic multi-photon subtraction induced by the Rydberg-blockade effect is adopted to produce large-sized NGSs. In contrast to the usual scheme of directly applying non-Gaussian operations on the entangled optical mode, we show that an additional phase-sensitive amplifier can accelerate the generation and also precisely control the type of NGSs. Here, we propose a protocol to rapidly generate two types of mechanical NGSs, Schr\"dinger cat states and Fock states, in dissipative optomechanical systems, even when the cooperativity is smaller than one ($g^2/\kappa\gamma<1$). However, the preparation of such states with high quality still faces practical challenges. Non-Gaussian states (NGSs) with higher-order correlation properties have wide-range applications in quantum information processing.
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