arXiv · 1404.6220
Decoherence of an exchange qubit by hyperfine interaction
Abstract
We study three-electron-spin decoherence in a semiconductor triple quantum dot with a linear geometry. The three electron spins are coupled by exchange interactions J_{12} and J_{23}, and we clarify inhomogeneous and homogeneous dephasing dynamics for a logical qubit encoded in the (S=1/2,S_{z} =1/2) subspace. We first justify that qubit leakage via the fluctuating Overhauser field can be effectively suppressed by sufficiently large Zeeman and exchange splittings. For J_{12}=J_{23} and the case of J_{12} and J_{23} being different, we construct an effective pure dephasing Hamiltonian with the Zeeman splitting much larger than the exchange splitting. Both effective Hamiltonians have the same order of magnitude as that for a single-spin qubit, and the relevant dephasing time scales are of the same order as those for a single spin. We provide estimates of the dynamics of three-spin free induction decay, the decay of a Hahn spin echo, and the decay of echoes from a CPMG pulse sequence for GaAs quantum dots.
Explore related subjects
Keep this discovery
Jo-Tzu Hung, Jianjia Fei, Mark Friesen, Xuedong Hu. 2014-07-22. Decoherence of an exchange qubit by hyperfine interaction. https://doi.org/10.1103/physrevb.90.045308
Cite the original work for its findings. Save a collection to share your selection of sources.