Cavity-assisted controlled phase-flip gates

Abstract

Cavity-mediated two-qubit gates, for example between solid-state spins, are attractive for quantum network applications. We propose three schemes to implement a controlled phase-flip gate mediated by a cavity. The main advantage of all these schemes is the possibility to perform them using a cavity with high cooperativity, but not in the strong coupling regime. We calculate the fidelity of each scheme in detail, taking into account the most important realistic imperfections, and compare them to highlight the optimal conditions for each scheme. Using these results, we discuss which quantum system characteristics might favor one scheme over another.

16 pages, 9 figures

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• Quantum repeaters based on individual electron spins and nuclear-spin-ensemble memories in quantum dots
• Efficient and high-fidelity entanglement in cavity QED without high cooperativity
• Comparing the performance of practical two-qubit gates for individual ${}^{171}$Yb ions in yttrium orthovanadate