REVIEW 2 cited by
Optimal probes and error-correction schemes in multi-parameter quantum metrology
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We derive a necessary and sufficient condition for the possibility of achieving the Heisenberg scaling in general adaptive multi-parameter estimation schemes in presence of Markovian noise. In situations where the Heisenberg scaling is achievable, we provide a semidefinite program to identify the optimal quantum error correcting (QEC) protocol that yields the best estimation precision. We overcome the technical challenges associated with potential incompatibility of the measurement optimally extracting information on different parameters by utilizing the Holevo Cram\'er-Rao (HCR) bound for pure states. We provide examples of significant advantages offered by our joint-QEC protocols, that sense all the parameters utilizing a single error-corrected subspace, over separate-QEC protocols where each parameter is effectively sensed in a separate subspace.
Forward citations
Cited by 2 Pith papers
-
Measurement incompatibility in Bayesian multiparameter quantum estimation
Measurement incompatibility at most doubles the minimum mean-square loss in Bayesian multiparameter quantum estimation, relative to the symmetric-posterior-mean bound.
-
Selective and noise-resilient wave estimation with quantum sensor networks
A constructive orthogonalization method tailors quantum sensor networks to ignore chosen noise waves while retaining Heisenberg-limited sensitivity to a signal wave, with exponential advantage over product states unde...
Discussion (0). Continue with ORCID to comment.