标题： 通过测量代码启发的可观测量进行鲁棒投影测量 显示英文标题

标题： Robust projective measurements through measuring code-inspired observables

摘要： 量子测量在量子信息处理任务中无处不在，但错误会使它们的输出不可靠。 在这里，我们提出了一种方案，通过测量代码启发的可观测量来实现稳健的投影测量。 也就是说，给定一个投影POVM，一个经典码和每个可观测量可以拥有的测量结果数量的约束，我们构造了对易的可观测量，其测量在无噪声的情况下等价于投影测量。 此外，如果我们构造的经典码可以纠正$t$错误，那么我们可以纠正可观测量测量的经典结果上的$t$错误。 由于我们的方案不需要将量子数据编码到量子纠错码上，因此它可以帮助构建不使用量子纠错的近期量子算法的稳健测量。 此外，我们的方案适用于任何投影POVM，因此可以在非稳定器量子纠错码中允许稳健的校验抽取过程。 显示英文摘要

摘要： Quantum measurements are ubiquitous in quantum information processing tasks, but errors can render their outputs unreliable. Here, we present a scheme that implements a robust projective measurement through measuring code-inspired observables. Namely, given a projective POVM, a classical code and a constraint on the number of measurement outcomes each observable can have, we construct commuting observables whose measurement is equivalent to the projective measurement in the noiseless setting. Moreover, we can correct $t$ errors on the classical outcomes of the observables' measurement if the classical code corrects $t$ errors. Since our scheme does not require the encoding of quantum data onto a quantum error correction code, it can help construct robust measurements for near-term quantum algorithms that do not use quantum error correction. Moreover, our scheme works for any projective POVM, and hence can allow robust syndrome extraction procedures in non-stabilizer quantum error correction codes.