Quantum Simulation of Open Lattice Field Theories

Open lattice field theories are useful in describing many physical systems. Yet their implementation in traditional quantum computing is hindered by the requirement of Hermiticity. We will discuss two ways of simulating a 1D quantum Ising model with an imaginary longitudinal field on quantum computer's. The first is using QITE, and the second is using quantum state tomography to enhance other algorithms based on quantum operations. As tomography involves reconstructing the state vector many times throughout the simulation, it is very volatile to incorrect measurements. Thus in the NISQ era, we are heavily restricted with both the size of the system, complexity, and length of evolution, so we will further discuss construction of robust noise models to aid in simulation.