Nonadiabatic geometric quantum computation with cat-state qubits via invariant-based reverse engineering
Nonadiabatic geometric quantum computation with cat-state qubits via invariant-based reverse engineering
复制标题
通过基于不变的逆向工程使用猫态量子位进行非绝热几何量子计算
DOI：
10.1103/physrevresearch.4.013233
复制
发表时间：
2022-03-28
影响因子：
4.2
通讯作者：
Nori, Franco
中科院分区：
文献类型：
--
作者：
Kang, Yi-Hao;Chen, Ye-Hong;Nori, Franco
提出了一种通过基于不变量的逆向工程来实现小振幅Schr“odinger猫量子比特非绝热几何量子计算的协议，考虑了一个双光子驱动的Kerr非线性系统，它提供了一对修饰的奇偶相干态，即Schr”odinger猫态用于容错量子计算。附加相干场用于线性驱动腔模，以诱导修饰猫态之间的振荡。通过设计这种基于不变量逆向工程的线性驱动器，可以实现具有CAT量子比特的非绝热几何量子计算。通过考虑系统误差、加性高斯白噪声和包括光子损耗和退相在内的退相干的影响来估计协议的性能。数值结果表明，该协议对这些负面因素具有较强的鲁棒性。因此，该协议可能为玻色系统中的非绝热几何量子计算提供一种可行的方法。
We propose a protocol to realize nonadiabatic geometric quantum computation of small-amplitude Schr\"odinger cat qubits via invariant-based reverse engineering. We consider a system with a two-photon driven Kerr nonlinearity, which provides a pair of dressed even and odd coherent states, i.e., Schr\"odinger cat states for fault-tolerant quantum computations. An additional coherent field is applied to linearly drive a cavity mode, to induce oscillations between dressed cat states. By designing this linear drive with invariant-based reverse engineering, nonadiabatic geometric quantum computation with cat qubits can be implemented. The performance of the protocol is estimated by taking into account the influence of systematic errors, additive white Gaussian noise, and decoherence including photon loss and dephasing. Numerical results demonstrate that our protocol is robust against these negative factors. Therefore, this protocol may provide a feasible method for nonadiabatic geometric quantum computation in bosonic systems.