Benchmarking quantum computers for real-time evolution of a $(1+1)$ field theory with error mitigation

Understand

Quantum computers open the possibility of performing real-time calculations for quantum field theory scattering processes.

• We propose to use an index averaging the absolute value of the difference between the accurately calculated Trotter evolution of site occupations and their actual measurements on NISQ machines.
• The average is over all the qubits for a certain number of Trotter steps.
• We use this metric to quantify the progress made in successive state-of-the-art machines and error-mitigation techniques.