We numerically emulate noisy intermediate-scale quantum (NISQ) devices and determine the minimal hardware requirements for two-site hybrid quantum–classical dynamical mean-field theory (DMFT). We develop a circuit recompilation algorithm which significantly reduces the number of quantum gates of the DMFT algorithm and find that the quantum–classical algorithm converges if the two-qubit gate fidelities are larger than 99%. The converged results agree with the exact solution within 10%, and perfect agreement within noise-induced error margins can be obtained for two-qubit gate fidelities exceeding 99.9%. By comparison, the quantum–classical algorithm without circuit recompilation requires a two-qubit gate fidelity of at least 99.999% to achieve perfect agreement with the exact solution. We thus find quantum–classical DMFT calculations can be run on the next generation of NISQ devices if combined with the recompilation techniques developed in this work.

中文翻译：

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混合量子经典DMFT的最低硬件要求

我们在数值上模拟有噪声的中尺度量子（NISQ）设备，并确定两站点混合量子经典动态平均场论（DMFT）的最低硬件要求。我们开发了一种电路重新编译算法，该算法大大减少了DMFT算法的量子门数量，并且发现如果两个量子位的门控保真度大于99％，则量子经典算法将收敛。收敛的结果与10％内的精确解一致，并且对于超过99.9％的两比特位的保真度，可以在噪声引起的误差容限内获得完美的一致性。相比之下，不进行电路重新编译的量子经典算法需要至少99.999％的两个量子比特门极保真度，才能与精确解决方案实现完美的一致性。