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High-Fidelity Quantum Logic in Ca+

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In this thesis we have described work implementing high-fidelity laser-driven two-qubit and single-qubit gates in \(^{43}\mathrm{Ca}^{+}\) hyperfine qubits. The best single-qubit and two-qubit gate errors we achieve are at least an order of magnitude below the fault-tolerant threshold for the best surface code error correction algorithms.

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Notes

  1. 1.

    Two-qubit gate errors below \(10^{-2}\) have been demonstrated in NMR systems, however these systems do not permit single-qubit readout, hence error-correction cannot be implemented.

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Correspondence to Christopher J. Ballance .

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Ballance, C.J. (2017). Conclusion. In: High-Fidelity Quantum Logic in Ca+. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-68216-7_9

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