Nonlinear Phase Gates Beyond the Lamb-Dicke Regime

Nonlinear phase gates are essential to achieve the universality of continuous-variable quantum processing and its applications. We present a deterministic protocol for generating nonlinear phase gates in trapped ion systems using simultaneous two-tone sideband drives beyond the Lamb-Dicke regime. Our approach harnesses higher-order interaction terms typically neglected or suppressed to construct nonlinear phase gates. This methodology enables high-fidelity gate engineering with a near three-fold reduction in control pulses compared to state-of-the-art theoretical proposals.

Source: arXiv:2602.15619v1 - http://arxiv.org/abs/2602.15619v1 PDF: https://arxiv.org/pdf/2602.15619v1 Original Link: http://arxiv.org/abs/2602.15619v1