Quantifying coherence in terms of Fisher information

• URL: http://arxiv.org/abs/2207.14746v2
• Date: Wed, 14 Dec 2022 10:32:59 GMT
• Title: Quantifying coherence in terms of Fisher information
• Authors: Deng-hui Yu and Chang-shui Yu
• Abstract summary: In quantum metrology, the parameter estimation accuracy is bounded by quantum Fisher information. We present coherence measures in terms of (quantum) Fisher information by considering the post-selective non-unitary parametrization process.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum metrology, the parameter estimation accuracy is bounded by quantum Fisher information. In this paper, we present coherence measures in terms of (quantum) Fisher information by directly considering the post-selective non-unitary parametrization process. This coherence measure demonstrates the apparent operational meaning by the exact connection between coherence and parameter estimation accuracy. We also discuss the distinction between our coherence measure and the quantum Fisher information subject to unitary parametrization. The analytic coherence measure is given for qubit states.

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