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Trapped Ion Quantum Computing

Quantum frequency estimation with conditional states of continuously monitored independent dephasing channels

arXiv
Authors: Francesco Albarelli, Matteo A. C. Rossi, Marco G. Genoni

Year

2019

Paper ID

15234

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

We discuss the problem of estimating a frequency via N-qubit probes undergoing independent dephasing channels that can be continuously monitored via homodyne or photo-detection. We derive the corresponding analytical solutions for the conditional states, for generic initial states and for arbitrary efficiency of the continuous monitoring. For the detection strategies considered, we show that: i) in the case of perfect continuous detection, the quantum Fisher information (QFI) of the conditional states is equal to the one obtained in the noiseless dynamics; ii) for smaller detection efficiencies, the QFI of the conditional state is equal to the QFI of a state undergoing the (unconditional) dephasing dynamics, but with an effectively reduced noise parameter.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • We discuss the problem of estimating a frequency via N-qubit probes undergoing independent dephasing channels that can be continuously monitored via homodyne or photo-detection.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1910.12549 [2] arXiv https://arxiv.org/abs/1910.12549 [3] Publisher https://arxiv.org/abs/1910.12549

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