Lowering tomography costs in quantum simulation with a symmetry projected operator basis
Lowering tomography costs in quantum simulation with a symmetry projected operator basis
复制标题
DOI：
10.1103/physreva.103.012420
复制
发表时间：
2020-08
影响因子：
2.9
通讯作者：
Scott E. Smart;D. Mazziotti
中科院分区：
文献类型：
--
作者：
Scott E. Smart;D. Mazziotti
量子模拟中的测量提供了一种从复杂量子态中提取有意义信息的方法，对于量子计算来说，降低测量的复杂性对于近期应用至关重要。对于大多数量子模拟，目标状态将服从系统哈密顿量固有的几种对称性。我们得到了一个替代的对称投影测量的基础，减少了一个常数因子所需的测量的数量。我们的方案可以在量子计算机上实现而无需额外的成本，可以在各种测量或层析成像方案下实现，并且在噪声下具有合理的弹性。
Measurement in quantum simulations provides a means for extracting meaningful information from a complex quantum state, and for quantum computing, reducing the complexity of measurement will be vital for near-term applications. For most quantum simulations, the targeted state will obey several symmetries inherent to the system Hamiltonian. We obtain an alternative symmetry projected basis of measurement that reduces the number of measurements needed by a constant factor. Our scheme can be implemented at no additional cost on a quantum computer, can be implemented under various measurement or tomography schemes, and is reasonably resilient under noise.