Digital Quantum Simulation of Scalar Yukawa Coupling

Understand

Motivated by the revitalized interest in the digital simulation of medium- and high-energy physics phenomena, we investigate the dynamics following a Yukawa-interaction quench on IBM Q.

• Adopting the zero-dimensional version of the scalar Yukawa-coupling model as our point of departure, we design low-depth quantum circuits emulating its dynamics with up to three bosons.
• In the one-boson case we demonstrate circuit compression, i.e., a constant-depth circuit containing only two controlled-NOT (CNOT) gates.
• In the more complex three-boson case, we design a circuit in which one Trotter step entails $8$ CNOTs.