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Title: Gradient ascent pulse engineering approach to CNOT gates in donor electron spin quantum computing

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.3037136· OSTI ID:21254861
;  [1]
  1. Department of Physics, Center for Theoretical Sciences, and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan (China)

In this paper, we demonstrate how gradient ascent pulse engineering (GRAPE) optimal control methods can be implemented on donor electron spin qubits in semiconductors with an architecture complementary to the original Kane's proposal. We focus on the high fidelity controlled-NOT (CNOT) gate and we explicitly find the digitized control sequences for a controlled-NOT gate by optimizing its fidelity using the effective, reduced donor electron spin Hamiltonian with external controls over the hyperfine A and exchange J interactions. We then simulate the CNOT-gate sequence with the full spin Hamiltonian and find that it has an error of 10{sup -6} that is below the error threshold of 10{sup -4} required for fault-tolerant quantum computation. Also the CNOT gate operation time of 100 ns is 3 times faster than 297 ns of the proposed global control scheme.

OSTI ID:
21254861
Journal Information:
AIP Conference Proceedings, Vol. 1074, Issue 1; Conference: 2. international workshop on solid-state quantum computing and mini-school on quantum information science, Taipei, Taiwan (China), 23-27 Jun 2008; Other Information: DOI: 10.1063/1.3037136; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English