We present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits that are stabilized by a two-photon driven-dissipative process exhibit a tunable noise bias where the effective bit-flip errors are exponentially suppressed with the average number of photons. We propose a realization of a set of gates on the cat qubits that preserve such a noise bias. Combining these base qubit operations, we build, at the level of the repetition cat qubit, a universal set of fully protected logical gates. This set includes single-qubit preparations and measurements, not, controlled-not, and controlled-controlled-not (Toffoli) gates. Remarkably, this construction avoids the costly magic state preparation, distillation, and injection. Finally, all required operations on the cat qubits could be performed with slight modifications of existing experimental setups.

中文翻译：

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容错量子计算的重复Cat比特

我们提出一种基于所谓的猫qubits的一维重复代码，作为实现硬件高效的通用和容错量子计算的可行方法。通过双光子驱动的耗散过程稳定的猫量子位表现出可调的噪声偏置，其中有效位翻转误差与光子的平均数量成指数关系。我们提出了在猫量子位上实现一组保留这种噪声偏差的门的实现。结合这些基本的qubit操作，我们在重复cat qubit的级别上构建了一组通用的，受完全保护的逻辑门。该集合包括单量子位准备和测量，not，control- not和受控-受控-not（Toffoli）盖茨。显着地，这种构造避免了昂贵的魔术状态制备，蒸馏和注入。最后，对猫量子位的所有必需操作都可以在对现有实验设置进行少许修改的情况下执行。