Quantum simulation of a general PT-symmetric two-level system

The evolution of a two-level quantum system with a general PT-symmetric Hamiltonian is simulated as a subsystem in a four-dimensional Hilbert space, which makes it possible to simulate any two-level PT-symmetric quantum system using a conventional quantum mechanics system. We studied the ability to simulate and investigate novel quantum systems and phenomena using a conventional Hermitian quantum computer. The quantum circuits are given for a qubit and two qudit systems.