Quantum Fisher Information with Coherence

Abstract

In recent proposals for achieving optical super-resolution, variants of the Quantum Fisher Information (QFI) quantify the attainable precision. We find that claims about a strong enhancement of the resolution resulting from coherence effects are questionable because they refer to very small subsets of the data without proper normalization. When the QFI is normalized, accounting for the strength of the signal, there is no advantage of coherent sources over incoherent ones. Our findings have a bearing on further studies of the achievable precision of optical instruments.

4 pages, 2 figures; v2 with new Abstract and few minor edits

References in corpus (3)

• Deterministic creation of entangled atom-light Schrödinger-cat states
• Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
• Comment on "Resurgence of Rayleigh's curse in the presence of partial coherence"

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• Quantum-limited Localisation and Resolution in Three Dimensions
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• Poisson Quantum Information
• Quantum limits for resolving Gaussian sources
• Super-resolution of two unbalanced point sources assisted by the entangled partner
• Interferometric sensing of the tilt angle of a Gaussian beam
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• Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
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• Optimizing measurement tradeoffs in multiparameter spatial superresolution
• Off-axis Aberrations Improve the Resolution Limits of Incoherent Imaging
• Tight information bounds for spontaneous emission lifetime resolution of quantum sources with varied spectral purity
• Quantum uncertainty of optical coherence
• Quantifying classical and quantum bounds for resolving closely spaced, non-interacting, simultaneously emitting dipole sources in optical microscopy