Comparing the performance of practical two-qubit gates for individual ${}^{171}$Yb ions in yttrium orthovanadate

• DOI: 10.48550/arxiv.2410.23613
• Publication Date: 2024-10-30
• Authors: Mahsa Karimi; Faezeh Kimiaee Asadi; Stephen C. Wein; Christoph Simon
• Keywords: Quantum Physics; FOS: Physical sciences; Quantum Physics (quant-ph)

In this paper, we investigate three schemes for implementing Controlled-NOT (CNOT) gates between individual ytterbium (Yb) rare-earth ions doped into yttrium orthovanadate (YVO$_4$ or YVO). Specifically, the CNOT based on magnetic dipolar interactions Yb ions, photon scattering off a cavity, and interference-based protocol, with without an optical cavity. We introduce theoretical framework precise computations of gate infidelity, accounting noise effects. then compute fidelity each scheme to evaluate feasibility their experimental implementation. Based these results, compare performance discuss respective advantages disadvantages. conclude that probabilistic offers best scaling cooperativity is superior current technology values, while nearly deterministic but slower less favourable as function cooperativity. The cavityless provides fast, high if close ion localization can be realized.