Entangling gates are an essential component of quantum computers. However,
generating high-fidelity gates, in a scalable manner, remains a major challenge
in all quantum information processing platforms. Accordingly, improving the
fidelity and robustness of these gates has been a research focus in recent
years. In trapped ions quantum computers, entangling gates are performed by
driving the normal modes of motion of the ion chain, generating a
spin-dependent force. Even though there has been significant progress in
increasing the robustness and modularity of these gates, they are still
sensitive to noise in the intensity of the driving field. Here we supplement
the conventional spin-dependent displacement with spin-dependent squeezing,
which enables a gate that is robust to deviations in the amplitude of the
driving field. We solve the general Hamiltonian and engineer its spectrum
analytically. We also endow our gate with other, more conventional, robustness
properties, making it resilient to many practical sources of noise and
inaccuracies