A scenario of quantum computing process based on the manipulation of a large number of nuclear spins in Quantum Hall (QH) ferromagnet is presented. It is found that vacuum quantum fluctuations in the QH ferromagnetic ground state at filling factor ν=1, associated with the virtual excitations of spin waves, lead to fast incomplete decoherence of the nuclear spins. A fundamental upper bound on the length of the computer memory is set by this fluctuation effect.
@article{arxiv.cond-mat/0011361,
title = {Fast Incomplete Decoherence of Nuclear Spins in Quantum Hall Ferromagnet},
author = {T. Maniv and Yu. A. Bychkov and I. D. Vagner and P. Wyder},
journal= {arXiv preprint arXiv:cond-mat/0011361},
year = {2009}
}