



01587nas a2200181   4500008004100000245010600041210006900147260001400216520099600230653002701226653003101253100001801284700001701302700001501319700001701334700001701351856003701368       2022                        eng d00aShadow Distillation: Quantum Error Mitigation with Classical Shadows for Near-Term Quantum Processors0 aShadow Distillation Quantum Error Mitigation with Classical Shad  c3/14/20223 a<p>Mitigating errors in quantum information processing devices is especially important in the absence of fault tolerance. An effective method in suppressing state-preparation errors is using multiple copies to distill the ideal component from a noisy quantum state. Here, we use classical shadows and randomized measurements to circumvent the need for coherent access to multiple copies at an exponential cost. We study the scaling of resources using numerical simulations and find that the overhead is still favorable compared to full state tomography. We optimize measurement resources under realistic experimental constraints and apply our method to an experiment preparing Greenberger-Horne-Zeilinger (GHZ) state with trapped ions. In addition to improving stabilizer measurements, the analysis of the improved results reveals the nature of errors affecting the experiment. Hence, our results provide a directly applicable method for mitigating errors in near-term quantum computers.</p>10aFOS: Physical sciences10aQuantum Physics (quant-ph)1 aSeif, Alireza1 aCian, Ze-Pei1 aZhou, Sisi1 aChen, Senrui1 aJiang, Liang  uhttps://arxiv.org/abs/2203.07309