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arXiv 1904.09474quant-phcond-mat.supr-con
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用于容错量子计算的重复猫量子比特

Repetition Cat Qubits for Fault-Tolerant Quantum Computation

Jérémie Guillaud, Mazyar Mirrahimi

摘要:

我们提出了一个一维重复码的基础上,所谓的猫量子比特作为一个可行的方法,实现硬件高效的通用和容错的量子计算。通过双光子驱动耗散过程稳定的猫量子比特表现出可调的噪声偏置,其中有效的比特翻转误差随着光子的平均数量呈指数抑制。我们提出了一个实现的猫量子比特,保持这样的噪声偏置的一组门。结合这些基本量子比特操作,我们在重复猫量子比特的水平上构建了一组通用的完全受保护的逻辑门。这个集合包括单量子位准备和测量,非,受控非和受控-受控-非(Toffoli)门。值得注意的是,这种结构避免了昂贵的魔术状态准备,蒸馏和注射。最后,对猫量子比特的所有必要操作都可以通过对现有实验装置的轻微修改来执行。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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