Quantum error correction in multi-parameter quantum metrology
@article{Grecki2019QuantumEC, title={Quantum error correction in multi-parameter quantum metrology}, author={Wojciech G{\'o}recki and Sisi Zhou and Liang Jiang and Rafał Demkowicz-Dobrzański}, journal={arXiv: Quantum Physics}, year={2019} }
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…
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