Sharp transitions in low-number quantum dots Bayesian magnetometry
arXiv:1605.04279 · doi:10.1038/srep34327
Abstract
We consider Bayesian estimate of static magnetic field, characterized by a prior Gaussian probability distribution, in systems of a few electron quantum dot spins interacting with infinite temperature spin environment via hyperfine interaction. Sudden transitions among optimal states and measurements are observed. Usefulness of measuring occupation levels is shown for all times of the evolution, together with the role of entanglement in the optimal scenario. For low values of magnetic field, memory effects stemming from the interaction with environment provide limited metrological advantage.
9 pages, 7 figures, section III expanded, citations added, results unchanged
References in corpus (5)
- Qubit metrology and decoherence
- Phase estimation without a priori knowledge in the presence of loss
- Spin echo decay at low magnetic fields in a nuclear spin bath
- Theory of box-model hyperfine couplings and transport signatures of long-range nuclear-spin coherence in a quantum-dot spin valve
- The decay of quantum correlations between quantum dot spin qubits and the characteristics of its magnetic field dependence