标题： 有噪声的概率误差补偿和广义物理可实现性 显示英文标题

标题： Noisy Probabilistic Error Cancellation and Generalized Physical Implementability

摘要： 量子退相干噪声显著影响了实际量子处理器的性能。 概率误差补偿量子误差缓解方法通过准概率模拟非物理通道的噪声逆操作来消除噪声。 物理可实现性是指通过准概率分解，用物理通道模拟非物理量子操作的最小成本。 然而，在实际中，这种补偿也可能受到噪声的影响，且可实现的通道并不全是物理通道，因此物理可实现性不足以完全描述概率误差补偿方法的实际情形。 因此，我们将物理可实现性推广到任意凸集的自由量子资源，并讨论了其几个性质。 我们展示了如何用噪声泡利基矢最优地补偿误差通道。 此外，我们还讨论了与此推广相关的几个性质。 我们期望其性质和结构将得到全面研究，并将在量子信息处理领域有更多应用。 显示英文摘要

摘要： Quantum decoherent noises have significantly influenced the performance of practical quantum processors. Probabilistic error cancellation quantum error mitigation method quasiprobabilistically simulates the noise inverse operations, which are not physical channels, to cancel the noises. Physical implementability is the minimal cost to simulate a non-physical quantum operation with physical channels by the quasiprobabilistic decomposition. However, in practical, this cancellation may also be influenced by noises, and the implementable channels are not all of the physical channels, so the physical implementability is not sufficient to completely depict the practical situation of the probabilistic error cancellation method. Therefore, we generalize the physical implementability to an arbitrary convex set of free quantum resources and discuss several of its properties. We demonstrate the way to optimally cancel the error channel with the noisy Pauli basis. In addition, we also discuss the several properties relevant to this generalization. We expect that its properties and structures will be investigated comprehensively, and it will have more applications in the field of quantum information processing.