High-fidelity entanglement of metastable trapped-ion qubits with integrated erasure conversion
A. Quinn, G. J. Gregory, I. D. Moore, S. Brudney, J. Metzner, E. R. Ritchie, J. O'Reilly, D. J. Wineland, D. T. C. Allcock

TL;DR
This paper demonstrates high-fidelity control of metastable trapped-ion qubits with integrated erasure conversion, significantly reducing error rates and advancing the feasibility of fault-tolerant quantum computing.
Contribution
It introduces an erasure conversion scheme for metastable ion qubits and achieves near-perfect entanglement fidelity, enabling low-overhead fault-tolerant quantum computing.
Findings
94% detection of spontaneous Raman scattering errors
Bell state fidelity of 97.73% raw, 98.61% SPAM-corrected
99.16% fidelity when erasure errors are subtracted
Abstract
Today's most advanced ion trap quantum computers have significant overhead due to the need for dual-species operation. Looking ahead, logical qubit register sizes will be limited by the encoding rate needed to correct generic Pauli errors. We address both of these issues by establishing high-fidelity control of metastable qubits, a key component of \textit{omg} or dual-type architectures, which enables converting a significant fraction of gate errors to erasures. We first implement an erasure conversion scheme which enables detection of of spontaneous Raman scattering errors during logic gates and nearly all errors from qubit decay. Second, we perform a two-ion geometric phase gate using far-detuned (-44\,THz) stimulated Raman transitions to produce an entangled state with a raw Bell state fidelity of 97.73\% and a SPAM-corrected Bell state fidelity of 98.61\%. When…
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