论文标题
使用IBM处理器实施基于单量测量的T设计
Implementation of single-qubit measurement-based t-designs using IBM processors
论文作者
论文摘要
从统一的HAAR合奏中采样的随机统一矩阵在密码学和模拟各种基本物理系统中都具有许多重要应用。由于样品的样品非常昂贵，因此以T-Designs形式的伪随机集合通常被用作有效的替代品，并且足以满足大多数应用。我们研究了使用基于测量的方法生成的T-designs，以实现超导量子计算机。特别是，我们通过在6 Quibit Graph状态上执行测量值在IBM量子处理器上实现了精确的单量3设计。通过分析通道层析成分的结果，我们能够证明在测试条件集中，意识到的单位集合是一种1个设计，但不是2设计或3设计，我们表明这是基于测量过程中去极性噪声的结果。我们通过实现大约2个设计，在较小的5克图状态下进行了测量，我们获得了2设计测试的改进结果，但是该测试并未通过所有状态通过。这表明，基于测量的T-Designs在超导量子计算机上的实际实现将需要进一步研究这些设备中的去极化噪声。
Random unitary matrices sampled from the uniform Haar ensemble have a number of important applications both in cryptography and in the simulation of a variety of fundamental physical systems. Since the Haar ensemble is very expensive to sample, pseudorandom ensembles in the form of t-designs are frequently used as an efficient substitute, and are sufficient for most applications. We investigate t-designs generated using a measurement-based approach on superconducting quantum computers. In particular, we implemented an exact single-qubit 3-design on IBM quantum processors by performing measurements on a 6-qubit graph state. By analysing channel tomography results, we were able to show that the ensemble of unitaries realised was a 1-design, but not a 2-design or a 3-design under the test conditions set, which we show to be a result of depolarising noise during the measurement-based process. We obtained improved results for the 2-design test by implementing an approximate 2-design, in which measurements were performed on a smaller 5-qubit graph state, but the test still did not pass for all states. This suggests that the practical realisation of measurement-based t-designs on superconducting quantum computers will require further work on the reduction of depolarising noise in these devices.
