Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond

Yi Chou, Shang-Yu Huang, and Hsi-Sheng Goan
Phys. Rev. A 91, 052315 – Published 15 May 2015

Abstract

A negatively charged nitrogen-vacancy (NV) center in diamond has been recognized as a good solid-state qubit. A system consisting of the electronic spin of the NV center and hyperfine-coupled nitrogen and additionally nearby carbon nuclear spins can form a quantum register of several qubits for quantum information processing or as a node in a quantum repeater. Several impressive experiments on the hybrid electron and nuclear spin register have been reported, but fidelities achieved so far are not yet at or below the thresholds required for fault-tolerant quantum computation (FTQC). Using quantum optimal control theory based on the Krotov method, we show here that fast and high-fidelity single-qubit and two-qubit gates in the universal quantum gate set for FTQC, taking into account the effects of the leakage state, nearby noise qubits, and distant bath spins, can be achieved with errors less than those required by the threshold theorem of FTQC.

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  • Received 12 February 2015

DOI:https://doi.org/10.1103/PhysRevA.91.052315

©2015 American Physical Society

Authors & Affiliations

Yi Chou, Shang-Yu Huang, and Hsi-Sheng Goan*

  • Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan

  • *goan@phys.ntu.edu.tw

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Issue

Vol. 91, Iss. 5 — May 2015

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