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Trapped Ion Quantum Computing

Variational Limits for Phase Precision in Linear Quantum Optical Metrology

arXiv
Authors: Yang Gao, Rumin Wang

Year

2015

Paper ID

26504

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

We apply the variational method to obtain the universal and analytical lower bounds for parameter precision in some noisy systems. We first derive a lower bound for phase precision in lossy optical interferometry at non-zero temperature. Then we consider the effect of both amplitude damping and phase diffusion on phase-shift precision. At last, we extend the constant phase estimation to the case of continuous fluctuating phase estimation, and find that due to photon losses the corresponding mean square error transits from the stochastic Heisenberg limit to the stochastic standard quantum limit as the total photon flux increases.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • We apply the variational method to obtain the universal and analytical lower bounds for parameter precision in some noisy systems.

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