Detecting Entanglement in Quantum Many-body Systems via Permutation Moments

July 2021 – April 2022, THU
Zhenhuan Liu, Yifan Tang, Hao Dai, Pengyu Liu, Shu Chen, Xiongfeng Ma
  • To appear in PRL.
  • Develop a general framework to detect quantum entanglement by inequalities of permutation moments and design a method to estimate those moments with only single-copy measurements that suits near-term quantum devices.
  • Bound the variance of the estimated moments and shows orders of saving in both quantum and classical resource compared to classical shadow.
  • Conduct simulation on random states and physical systems with time and memory-optimized tensor contraction and verify the improvement.