Sequential quantum-enhanced measurement with an atomic ensemble

Abstract

We propose a quantum-enhanced iterative (with $K$ steps) measurement scheme based on an ensemble of $N$ two-level probes which asymptotically approaches the Heisenberg limit ${\delta }_K\propto R^{-K/(K+1)}$, $R$ the number of quantum resources. The protocol is inspired by Kitaev's phase estimation algorithm and involves only collective manipulation and measurement of the ensemble. The iterative procedure takes the shot-noise limited primary measurement with precision ${\delta }_1\propto N^{-1/2}$ to increasingly precise results ${\delta }_K\propto N^{-K/2}$. A straightforward implementation of the algorithm makes use of a two-component atomic cloud of Bosons in the precision measurement of a magnetic field.

5 pages, 1 figure

References in corpus (5)

• Nonlinear atom interferometer surpasses classical precision limit
• Entanglement-free Heisenberg-limited phase estimation
• Quantum metrology with a scanning probe atom interferometer
• Nanoscale magnetometry using a single spin system in diamond
• Optimal Heisenberg-style bounds for the average performance of arbitrary phase estimates

Cited by in corpus (3)

• Controlling systematic frequency uncertainties at the $10^{-19}$ level in linear Coulomb crystals
• Quantum-enhanced magnetometry by phase estimation algorithms with a single artificial atom
• Probing Time Dilation in Coulomb Crystals in a high-precision Ion Trap