Concurrent fermionic simulation gate

Introducing flexible native entanglement gates can significantly reduce circuit complexity. We propose a gate integrating <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>i</a:mi></a:math> and operations within a single gate cycle. We theoretically show one possible realization of this gate for superconducting qubits using bichromatic parametric drives at distinct frequencies. We show how various parameters, such as drive amplitudes and frequencies, can control entanglement parameters. This approach enhances gate versatility, opening pathways for more efficient quantum computing.