Fast incomplete decoherence of nuclear spins in a quantum Hall ferromagnet
Abstract
A scenario of the quantum computing process based on the manipulation of a large number of nuclear spins in quantum Hall (QH) ferromagnets 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 constraint on the level of decoherence is set by this fluctuation effect. For GaAs multiple-quantum-well structures we find a coherence level not smaller than 1-10-9, which is safely above the danger level of quantum error correction methods.
- Publication:
-
Physical Review B
- Pub Date:
- November 2001
- DOI:
- 10.1103/PhysRevB.64.193306
- arXiv:
- arXiv:cond-mat/0011361
- Bibcode:
- 2001PhRvB..64s3306M
- Keywords:
-
- 73.43.-f;
- 03.67.Lx;
- 71.70.Ej;
- 76.60.-k;
- Quantum Hall effects;
- Quantum computation;
- Spin-orbit coupling Zeeman and Stark splitting Jahn-Teller effect;
- Nuclear magnetic resonance and relaxation;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- doi:10.1103/PhysRevB.64.193306