Using near-term quantum computers to achieve a quantum advantage requires efficient strategies to improve the performance of the noisy quantum devices presently available. We develop and experimentally validate two efficient error mitigation protocols named ``Noiseless Output Extrapolation" and ``Pauli Error Cancellation" that can drastically enhance the performance of quantum circuits composed of noisy cycles of gates. By combining popular mitigation strategies such as probabilistic error cancellation and noise amplification with efficient noise reconstruction methods, our protocols can mitigate a wide range of noise processes that do not satisfy the assumptions underlying existing mitigation protocols, including non-local and gate-dependent processes. We test our protocols on a four-qubit superconducting processor at the Advanced Quantum Testbed. We observe significant improvements in the performance of both structured and random circuits, with up to $86\%$ improvement in variation distance over the unmitigated outputs. Our experiments demonstrate the effectiveness of our protocols, as well as their practicality for current hardware platforms.

中文翻译：

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有效提高噪声量子计算机的性能


使用近期量子计算机来实现量子优势需要有效的策略来提高目前可用的噪声量子设备的性能。我们开发并实验验证了两种有效的错误缓解协议，名为“无噪声输出外推”和“泡利错误消除”，可以极大地提高由噪声门周期组成的量子电路的性能。通过将概率误差消除和噪声放大等流行的缓解策略与有效的噪声重建方法相结合，我们的协议可以缓解不满足现有缓解协议假设的各种噪声过程，包括非局部和门相关过程。我们在高级量子测试台的四量子位超导处理器上测试我们的协议。我们观察到结构化电路和随机电路的性能都有显着提高，与未缓解的输出相比，变化距离提高了 86\%$。我们的实验证明了我们协议的有效性以及它们对当前硬件平台的实用性。