Ancilla-assisted frequency estimation under phase covariant noises with Greenberger-Horne-Zeilinger states

• URL: http://arxiv.org/abs/2006.11498v1
• Date: Sat, 20 Jun 2020 05:16:57 GMT
• Title: Ancilla-assisted frequency estimation under phase covariant noises with Greenberger-Horne-Zeilinger states
• Authors: Rui-Jie Cai, Wei Zhong, Lan Zhou and Yu-Bo Sheng
• Abstract summary: We present the ultimate frequency sensitivities bounded by the quantum Fisher information for a general case in the presence of Markovian covariant phase noises. We also demonstrate the effectiveness of the ancilla-assisted strategy for preserving frequency sensitivities suffering from specific physically ground noises.
• Score: 6.887504495088555
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It has been demonstrated that the optimal sensitivity achievable with Greenberger-Horne-Zeilinger states is the same as that with uncorrelated probes in the frequency estimation in the presence of uncorrelated Markovian dephasing [S. F. Huelga, et al., Phys. Rev. Lett. 79, 3865 (1997)]. Here, we extend this issue by examining the optimal frequency sensitivities achievable by the use of ancilla-assisted strategy, which has been proposed recently for robust phase estimation. We present the ultimate frequency sensitivities bounded by the quantum Fisher information for a general case in the presence of Markovian covariant phase noises, and the optimal measurement observables that can saturate the theoretical sensitivity bounds. We also demonstrate the effectiveness of the ancilla-assisted strategy for preserving frequency sensitivities suffering from specific physically ground noises.

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