论文标题
减轻错误的最佳资源成本
Optimal resource cost for error mitigation
论文作者
论文摘要
近期量子设备的核心问题之一是了解它们的最终潜力和局限性。我们通过引入一个框架的框架来解决近期设备的全部表达性，从量子错误缓解方面来解决此问题，在该框架中，可以正式化取消概率误差方法的最佳资源成本。我们通过将其连接到有关设备可以实施的嘈杂操作定义的资源理论量化器来评估最佳成本的一般方法来评估最佳成本。我们采用我们的方法来估计减轻一般噪声类别的最佳成本，在该噪声类别中，我们获得了可实现的成本，该成本比以前的评估具有一般优势，以及适用于广泛的噪音可实施操作的基本下限。我们改善了几种噪声模型的界限，在其中我们为去极化和去除噪声的确切最佳成本提供了精确表征开销成本的表征，同时在减轻错误方面为资源度量提供了操作含义。我们的结果特别意味着Temme等人提出的启发式方法。 [K. Temme，S。Bravyi和J. M. Gambetta，物理。莱特牧师。即使在我们的扩展框架中，119，180509（2017）]也是最佳的，这对此噪声模型的近期设备固有的额外自由度固有的额外自由度构成了基本限制。
One of the central problems for near-term quantum devices is to understand their ultimate potential and limitations. We address this problem in terms of quantum error mitigation by introducing a framework taking into account the full expressibility of near-term devices, in which the optimal resource cost for the probabilistic error cancellation method can be formalized. We provide a general methodology for evaluating the optimal cost by connecting it to a resource-theoretic quantifier defined with respect to the noisy operations that devices can implement. We employ our methods to estimate the optimal cost in mitigating a general class of noise, where we obtain an achievable cost that has a generic advantage over previous evaluations, as well as a fundamental lower bound applicable to a broad class of noisy implementable operations. We improve our bounds for several noise models, where we give the exact optimal costs for the depolarizing and dephasing noise, precisely characterizing the overhead cost while offering an operational meaning to the resource measure in terms of error mitigation. Our result particularly implies that the heuristic approach presented by Temme et al. [K. Temme, S. Bravyi, and J. M. Gambetta, Phys. Rev. Lett. 119, 180509 (2017)] is optimal even in our extended framework, putting fundamental limitations on the advantage provided by the extra degrees of freedom inherent in near-term devices for this noise model.
