Enhanced frequency estimation by non-Gaussianity of Fock states
arXiv:2505.14870 · doi:10.1140/epjp/s13360-026-07367-4
Abstract
Leveraging the unique quantum properties of non-Gaussian states is crucial for advancing continuous variable quantum technologies. Recent experimental advancements in generating non-Gaussian states, coupled with theoretical findings of their superior performance in quantum information protocols compared to Gaussian states, motivate this investigation. This work investigates the impact of non-Gaussianity on the precision of frequency estimation using a quantum probe. We analyze a single bosonic mode and its non-Gaussian excited states as a system, while the frequency estimation is investigated by explicitly computing the quantum Fisher information. Our results demonstrate a significant enhancement in the quantum Fisher information for non-Gaussian states compared to Gaussian states with equivalent second-order moments. Importantly, we find that the increased quantum Fisher information achieved with non-Gaussian states outweighs their higher energetic cost compared to the Gaussian ground state. We also briefly discuss two photonic non-Gaussian state generation schemes: interaction with an ancillary system and the use of photon number measurement on the photonic probe.
References in corpus (36)
- Quantum information with continuous variables
- Gaussian Quantum Information
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantifying Coherence
- Quantum Coherence as a Resource
- Quantum Resource Theories
- Advances in Photonic Quantum Sensing
- Optimal Quantum Phase Estimation
- Quantum Metrology for Gravitational Wave Astronomy
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Critical Quantum metrology with a finite-component quantum phase transition
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum parameter estimation using general single-mode Gaussian states
- Optimal metrology with programmable quantum sensors
- Quantifying non-Gaussianity for quantum information
- Dissipation-based Quantum Sensing of Magnons with a Superconducting Qubit
- Generating superposition of up-to three photons for continuous variable quantum information processing
- Quantifying coherence of Gaussian states
- Experimental generation of multi-photon Fock states
- Gravimetry through non-linear optomechanics
- Ultimate precision of multi-parameter quantum magnetometry under the parallel scheme
- Fundamental Sensitivity Limits for non-Hermitian Quantum Sensors
- Quantum-enhanced metrology with large Fock states
- Converting quasiclassical states into arbitrary Fock state superpositions in a superconducting cavity
- Multimode Fock states with large photon number: effective descriptions and applications in quantum metrology
- Thermometry of Gaussian quantum systems using Gaussian measurements
- Optimal entangled coherent states in lossy quantum-enhanced metrology
- Quantum metrology with generalized cat states
- Optical estimation of unitary Gaussian processes without phase reference using Fock states
- Quantum parameter-estimation of frequency and damping of a harmonic-oscillator
- Metrological robustness of high photon number optical cat states
- Improving parameters estimation in Gaussian channels using quantum coherence
- Enhancing Gaussian quantum metrology with position-momentum correlations
- Generating Fock-state superpositions from coherent states by selective measurement
- Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
- Enhanced frequency and temperature estimation by a -symmetric quantum oscillator