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We use a co-trapped ion ($^{88}\mathrm{Sr}^{+}$) to sympathetically cool andmeasure the quantum state populations of a memory-qubit ion of a differentatomic species ($^{40}\mathrm{Ca}^{+}$) in a cryogenic, surface-electrode iontrap. Due in part to the low motional heating rate demonstrated here, the statepopulations of the memory ion can be transferred to the auxiliary ion by usingthe shared motion as a quantum state bus and measured with an average accuracyof 96(1)%. This scheme can be used in quantum information processors to reducephoton-scattering-induced error in unmeasured memory qubits.

High-Fidelity, Single-Shot, Quantum-Logic-Assisted Readout in a Mixed-Species Ion Chain