Quantum computing simulations of open electronic systems dynamics using mid-circuit measurements

Quantum computers are a powerful tool for simulating the dynamics of electronic system. Electrons are inherently quantum in nature and their collective dynamics requires a many-body description. Many-body quantum dynamics is notoriously difficult to simulate on classical computers. However, quantum computers are themselves quantum dynamical systems. The dynamics of both closed electronic systems and quantum computers are governed by unitary operators. Thus, a closed electronic system can always be simulated on a quantum computer as long as a unitary operator that is functionally equivalent to the systems evolution operator can be applied to the quantum computer. A difficulty arises when considering open quantum systems as open systems are not governed by unitary operators. This is due to the fact that information is not conserved in open systems making their dynamics non-reversable. In this talk, we will discuss how mid-circuit measurements can be used as non-reversable operations to simulate open electronic systems. Our approach simulates Lindbladian evolution under certain limits.