Quantum simulation of τ-anti-pseudo-Hermitian two-level systems  

作　　者：Chao Zheng 郑超(Department of Physics,College of Science,North China University of Technology,Beijing 100144,China)

机构地区：[1]Department of Physics,College of Science,North China University of Technology,Beijing 100144,China

出　　处：《Chinese Physics B》2022年第10期182-188,共7页中国物理B（英文版）

基　　金：funded by the National Natural Science Foundation of China (Grant No. 12175002);Beijing Natural Science Foundation (Grant No. 1222020);NCUT Talents Project and Special Fund。

摘　　要：Different from the Hermitian case, non-Hermitian(NH) systems have novel properties and strongly relate to open and dissipative quantum systems. In this work, we investigate how to simulate τ-anti-pseudo-Hermitian systems in a Hermitian quantum device using linear combinations of unitaries and duality quantum algorithm. Specifying the τ to time-reversal(T) and parity-time-reversal(PT) operators, we construct the two NH two-level systems, design quantum circuits including three qubits, and decide the quantum gates explicitly in detail. We also calculate the success probabilities of the simulation.Experimental implementation can be expected in small quantum simulator.

关 键 词：quantum simulation linear combination of unitaries non-Hermitian anti-pseudo-Hermitian 

分 类 号：O413[理学—理论物理]