Revision 1

Accepted · first revision · record

Title: Precision scaling under spatially correlated and non-Markovian dephasing
Plain: Real noise often hits all atoms together or has memory in time. How the best achievable precision then scales with particle number and time is known only in special cases.
Precise: For $N$ qubits sensing a phase under dephasing with spatial correlation function $C(r)$ and temporal spectrum $S(\omega)$, including the non-Markovian Zeno regime, classify the asymptotic scaling exponent of the minimal estimation error with $N$ and total time $T$, and identify the states and measurements attaining it.
Settled by: Bounds and attaining protocols covering the main classes of correlated noise, with matching exponents.
Kind: well-posed
Answer type: classification
References: (empty)
Literature status: open
Status note: (empty)
Posed since: (empty)