Zheng Chao, Tian Jin, Li Daili, Wen Jingwei, Wei Shijie, Li Yansong
Department of Physics, College of Science, North China University of Technology, Beijing 100144, China.
State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China.
Entropy (Basel). 2020 Jul 24;22(8):812. doi: 10.3390/e22080812.
Besides Hermitian systems, quantum simulation has become a strong tool to investigate non-Hermitian systems, such as PT-symmetric, anti-PT-symmetric, and pseudo-Hermitian systems. In this work, we theoretically investigate quantum simulation of an anti--pseudo-Hermitian two-level system in different dimensional Hilbert spaces. In an arbitrary phase, we find that six dimensions are the minimum to construct the anti--pseudo-Hermitian two-level subsystem, and it has a higher success probability than using eight dimensions. We find that the dimensions can be reduced further to four or two when the system is in the anti-PT-symmetric or Hermitian phase, respectively. Both qubit-qudit hybrid and pure-qubit systems are able to realize the simulation, enabling experimental implementations in the near future.
除了厄米特系统外，量子模拟已成为研究非厄米特系统的有力工具，例如PT对称、反PT对称和伪厄米特系统。在这项工作中，我们从理论上研究了不同维度希尔伯特空间中反伪厄米特二能级系统的量子模拟。在任意相位下，我们发现构建反伪厄米特二能级子系统的最小维度为6维，且其成功概率高于使用8维时的情况。我们还发现，当系统处于反PT对称或厄米特相位时，维度可分别进一步降至4维和2维。量子比特-量子逻辑比特混合系统和纯量子比特系统都能够实现这种模拟，这使得在不久的将来进行实验实现成为可能。
