Fault-tolerant quantum computing with coded spins using the conditional Faraday rotation in quantum dots

Michael Niklaus Leuenberger · Physical Review B · 2006

We propose a scalable fault-tolerant scheme for deterministic quantum computing with spins that is based on a three-particle entanglement produced by the conditional Faraday rotation of the polarization of single photons due to the nonresonant interaction with spins of quantum dots, embedded in microcavities inside a photonic crystal. The resulting conditional phase gate yields switching times of $50\phantom{\rule{0.3em}{0ex}}\mathrm{ps}$. We show that it acts fault-tolerantly not only on the Calderbank-Shor-Steane quantum error correction codes, but also on Shor's code in a single shot. Single-qubit operations on Shor's logical qubits can be implemented by means of the optical Stark effect combined with the optical Ruderman-Kittel-Kasuya-Yosida interaction in a single shot.

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