Quantum metrology and coherence

Abstract

We address the relation between quantum metrological resolution and coherence. We examine this dependence in two manners: we develop a quantum Wiener-Kintchine theorem for a suitable model of quantum ruler, and we compute the Fisher information. The two methods have the virtue of including both the contributions of probe and measurement on an equal footing. We illustrate this approach with several examples of linear and nonlinear metrology. Finally, we optimize resolution regarding coherence as a finite resource.

arXiv comment9 pages

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Cited by in corpus (7)

• Relations between quantum metrology and criticality in general su(1, 1) systems
• Role of quantum state texture in probing resource theories and quantum phase transition
• Frozen condition of quantum coherence
• Quantum uncertainty of optical coherence
• Phase-space quantum Wiener-Khintchine theorem
• State convertibility under genuinely incoherent operations
• Coherence measure of ensembles with nonlocality without entanglement