Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
arXiv:2404.17914 · doi:10.1103/PhysRevResearch.6.043215
Abstract
Nonlinear processes with individual quanta beyond bilinear interactions are essential for quantum technology with bosonic systems. Diverse coherent splitting and merging of quanta in them already manifest in the estimation of their nonlinear coupling from observed statistics. We derive non-trivial, but optimal strategies for sensing the basic and experimentally available trilinear interactions using non-classical particle-like Fock states as a probe and feasible measurement strategies. Remarkably, the optimal probing of nonlinear coupling reaches estimation errors scaled down with for overall of quanta in specific but available high-quality Fock states in all interacting modes. It can reveal unexplored aspects of nonlinear dynamics relevant to using such nonlinear processes in bosonic experiments with trapped ions and superconducting circuits and opens further developments of quantum technology with them.
References in corpus (54)
- Advances in Quantum Metrology
- Quantum information with continuous variables
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum computation over continuous variables
- Quantum metrology from a quantum information science perspective
- Entanglement-free Heisenberg-limited phase estimation
- Generalized Limits for Single-Parameter Quantum Estimation
- Entangled state quantum cryptography: Eavesdropping on the Ekert protocol
- Nonlinear optical signals and spectroscopy with quantum light
- Role of entanglement in two-photon imaging
- Creation and control of multi-phonon Fock states in a bulk acoustic wave resonator
- Spontaneous parametric down-conversion
- Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
- The Quantum Absorption Refrigerator
- Quantum absorption refrigerator with trapped ions
- Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
- Quantum Metrology: Dynamics vs. Entanglement
- Quantum thermal absorption machines: refrigerators, engines and clocks
- Observation of Three-Photon Spontaneous Parametric Downconversion in a Superconducting Parametric Cavity
- Quantum-enhanced sensing of a mechanical oscillator
- Non-degenerate, three-wave mixing with the Josephson ring modulator
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
- Resolving Phonon Fock States in a Multimode Cavity with a Double-Slit Qubit
- Nonlinear quantum metrology of many-body open systems
- Nonlinear quantum metrology using coupled nanomechanical resonators
- A quantum parametric oscillator with trapped ions
- Quantum-enhanced metrology with large Fock states
- Cross-Kerr nonlinearity for phonon counting
- Quantum control of an oscillator using stimulated nonlinearity
- Deterministic quantum phase estimation beyond the ideal NOON state limit
- Adaptive phase estimation with two-mode squeezed-vacuum and parity measurement
- Room-Temperature Photonic Logical Qubits via Second-Order Nonlinearities
- Quantum nondemolition measurements with optical parametric amplifiers for ultrafast universal quantum information processing
- The Trilinear Hamiltonian: A Zero Dimensional Model of Hawking Radiation from a Quantized Source
- Quantum Phase Transitions in Optomechanical Systems
- Microwave degenerate parametric down-conversion with a single cyclic three-level system in circuit QED
- Quantum and classical dynamics of a three-mode absorption refrigerator
- Unconventional Cavity Optomechanics: Nonlinear Control of Phonons in the Acoustic Quantum Vacuum
- Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies
- Quantum non-Gaussianity of multi-phonon states of a single atom
- Quantum Simulations with a Trilinear Hamiltonian
- Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses
- One-shot decoupling and Page curves from a dynamical model for black hole evaporation
- Pump Depletion in Parametric Amplification
- Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions
- Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing
- Quantum metrology with a squeezed Kerr oscillator
- Second-Order Coherence Across the Brillouin Lasing Threshold
- Dissipative phonon Fock state production in strong nonlinear optomechanics
- The phase sensitivity of a fully quantum three-mode nonlinear interferometer
- Entanglement growth via splitting of a few thermal quanta
- Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions
- Non-perturbative solution of nonlinear Heisenberg equations