Quantum error correction in multi-parameter quantum metrology
AI Breakdown
Get a structured breakdown of this paper — what it's about, the core idea, and key takeaways for the field.
Abstract
We derive a necessary and sufficient condition for the possibility of preserving the Heisenberg scaling in general adaptive multi-parameter estimation schemes in presence of Markovian noise. In situations where the Heiseneberg scaling can be preserved, we provide an efficient numerical algorithm to identify the optimal quantum error correcting (QEC) protocol that yields the best estimation precision. We provide examples of significant advantages offered by joint-parameter QEC protocols that sense all the parameters utilizing a single error-protected subspace over separate-parameter QEC protocols where each parameter is effectively sensed in a separate subspace.