论文标题
使用三个测量基础估算纯状态
Estimation of pure states using three measurement bases
论文作者
论文摘要
我们引入了一种新方法，以使用与三个测量基础相关的概率分布来估计未知纯$ d $维量子状态。使用$ 2D $投影仪的尺寸结果用于生成一组$ 2^{d-1} $可能的状态，使用$ d $剩余的投影仪的测量结果进行评估的可能性。可能性最高的状态是对未知状态的估计。该方法估算所有纯状态，但设置为无效。使用两个不同的和互补的高维量子信息平台在实验上证明了协议的生存能力。首先，通过探索光子路径编码策略，我们在单个8维量子系统上验证该方法。然后，我们求助于五个超导量子IBM量子处理器，以在多部分方案中证明该方法的高性能。
We introduce a new method to estimate unknown pure $d$-dimensional quantum states using the probability distributions associated with only three measurement bases. Measurement results of $2d$ projectors are employed to generate a set of $2^{d-1}$ possible states, the likelihood of which is evaluated using the measurement results of the $d$ remaining projectors. The state with the highest likelihood is the estimate of the unknown state. The method estimates all pure states but a null-measure set. The viability of the protocol is experimentally demonstrated using two different and complementary high-dimensional quantum information platforms. First, by exploring the photonic path-encoding strategy, we validate the method on a single 8-dimensional quantum system. Then, we resort to the five superconducting qubit IBM quantum processor to demonstrate the high performance of the method in the multipartite scenario.
