Joint estimation of noise and nonlinearity in Kerr systems
arXiv:2406.10226 · doi:10.1063/5.0225120
Abstract
We address characterization of lossy and dephasing channels in the presence of self-Kerr interaction using coherent probes. In particular, we investigate the ultimate bounds to precision in the joint estimation of loss and nonlinearity and of dephasing and nonlinearity. To this aim, we evaluate the quantum Fisher information matrix (QFIM), and compare the symmetric quantum Cramér-Rao bound (QCR) to the bound obtained with Fisher information matrix (FIM) of feasible quantum measurements, i.e., homodyne and double-homodyne detection. For lossy Kerr channels, our results show the loss characterization is enhanced in the presence of Kerr nonlinearity, especially in the relevant limit of small losses and low input energy, whereas the estimation of nonlinearity itself is unavoidably degraded by the presence of loss. In the low energy regime, homodyne detection of a suitably optimized quadrature represents a nearly optimal measurement. The Uhlmann curvature does not vanish, therefore loss and nonlinearity can be jointly estimated only with the addition of intrinsic quantum noise. For dephasing Kerr channels, the QFIs of the two parameters are independent of the nonlinearity, and therefore no enhancement is observed. Homodyne and double-homodyne detection are suboptimal for the estimation of dephasing and nearly optimal for nonlinearity. Also in this case, the Uhlmann curvature is nonzero, proving that the parameters cannot be jointly estimated with maximum precision.
32 pages, 14 figures, 2 tables
References in corpus (41)
- Cavity Optomechanics
- Quantifying Coherence
- Operational Resource Theory of Coherence
- Optimality of Gaussian Attacks in Continuous Variable Quantum Cryptography
- Multiphoton Quantum Optics and Quantum State Engineering
- Multi-parameter Quantum Metrology
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Quantum entanglement between two magnon modes via Kerr nonlinearity
- Optical phase estimation in the presence of phase-diffusion
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Optimal quantum estimation of loss in bosonic channels
- Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
- Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
- Generation of discrete superpositions of coherent states in the anharmonic oscillator model
- Quantifying coherence of Gaussian states
- Critical parametric quantum sensing
- Generation of macroscopic superposition states with small nonlinearity
- Quantifying the Coherence Between Coherent States
- Wigner Function Evolution of Quantum States in Presence of Self-Kerr Interaction
- Quantum Limits in Optical Communications
- Experimental estimation of entanglement at the quantum limit
- Optimal estimation of entanglement
- Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
- Quantum probes for the characterization of nonlinear media
- Parameter estimation with almost no public communication for continuous-variable quantum key distribution
- Steady entangled-state generation via cross-Kerr effect in a ferrimagnetic crystal
- Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
- On the quantumness of multiparameter estimation problems for qubit systems
- Enhancement of parameter estimation by Kerr interaction
- Single photon transmission in strong three-mode optomechanical circulatory system
- Manipulating the non-Gaussianity of phase-randomized coherent states
- Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
- Enhanced estimation of loss in the presence of Kerr nonlinearity
- Quadrature coherence scale driven fast decoherence of bosonic quantum field states
- Noisy propagation of coherent states in a lossy Kerr medium
- Entanglement concentration of microwave photons based on Kerr effect in circuit QED
- Decoherence and nonclassicality of photon-added/subtracted multi-mode Gaussian states
- Nonlinear Michelson interferometer for improved quantum metrology
- Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
- Cavity mode dephasing via the optomechanical interaction with an acoustic environment
- Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state