Measurement-based algorithms for quantum simulation of many-body fermionic systems*

Measurement-based quantum computation (MBQC) is a model of universal quantum computation driven by local measurements on an initial entangled resource state. MBQC is potentially advantageous over a conventional circuit-based algorithm when an entangled qubit state is accurately prepared and efficient single-qubit measurements are available. Along these lines, the application of MBQC to quantum simulation of physical systems is highly desirable but has yet to be explored in depth. In this talk, I will discuss the implementation of mappings between spins and many-body fermionic systems in the context of MBQC. I will also discuss development of MBQC algorithms capturing the time evolution of certain fermionic Hamiltonians. We will propose a design for single-qubit measurement patterns that implement MBQC quantum simulation algorithms while taking into account computational efficiency.