Theoretical Investigation Of Quantum Simulation Of An Anti-P-Pseudo-Hermitian Two-Level System

Quantum simulation is one of the main research contents in quantum information and computing science,it not only investigate the traditional Hermitian quantum system,but also investigate the novel non-Hermitian system and its phenomena,becoming a powerful tool to investigate the quantum system.In recent years,non-Hermitian quantum systems have been widely concerned because of their novel properties and potential application value.As we all know,the theory of quantum simulation scheme about anti-P-pseudo-Hermitian system has not been proposed.In this work,we theoretically investigate quantum simulation of an anti-P-pseudo Hermitian two-level system in different dimensional Hilbert spaces by using the linear combination of unitary operators.We propose the general quantum simulation theoretical schemes about eight and six dimensions and optimize four-dimension schemes for specific phase of this system,compare the complexity of these schemes and calculate success probability of simulation schemes.