Optimal Displacement Sensing with Spin-Dependent Squeezed States
arXiv:2510.25870 · doi:10.1103/mhvv-pr5d
Abstract
Displacement sensing is a fundamental task in metrology. However, the development of quantum-enhanced sensors that fully utilize the available degrees of freedom in many-body quantum systems remains an outstanding challenge. We propose many-body displacement sensing schemes that use spin-dependent squeezed (SDS) states -- hybrid spin-boson states whose bosonic squeezed quadrature is conditioned on an auxiliary spin. We prove that SDS states are \emph{optimal}, i.e. their quantum Cramér-Rao bound saturates the Heisenberg limit. We propose explicit measurement sequences that can be readily implemented in systems such as trapped ions. We also introduce a scalable state-preparation protocol and numerically demonstrate the preparation of ~dB of spin-dependent squeezing times faster than the standard approach using second-order sidebands in trapped ions. The potential applications of our sensing protocols range from measuring single-photon scattering to searches for dark matter.
New section on impact of noise. 15+19 pages, 7+4 figures. Close to published version
References in corpus (58)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quantum sensing
- Search for New Physics with Atoms and Molecules
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Quantum spin squeezing
- Quantum Fisher information matrix and multiparameter estimation
- A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
- A quantum-enhanced search for dark matter axions
- Encoding a qubit in a trapped-ion mechanical oscillator
- Highly charged ions: optical clocks and applications in fundamental physics
- Quantum harmonic oscillator state synthesis by reservoir engineering
- QuantumOptics.jl: A Julia framework for simulating open quantum systems
- Quantum-enhanced sensing of displacements and electric fields with large trapped-ion crystals
- Quantum amplification of mechanical oscillator motion
- A clock with systematic uncertainty
- Preparation and coherent manipulation of pure quantum states of a single molecular ion
- Multi-parameter estimation beyond Quantum Fisher Information
- Searching for Dark Matter with a Superconducting Qubit
- Non-destructive state detection for quantum logic spectroscopy of molecular ions
- Optically Measuring Force near the Standard Quantum Limit
- Coherent laser spectroscopy of highly charged ions using quantum logic
- On quantumness in multi-parameter quantum estimation
- Optimal estimation of joint parameters in phase space
- Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force
- Single-Mode Displacement Sensor
- An Optical Atomic Clock Based on a Highly Charged Ion
- Sub-Planck phase-space structures and Heisenberg-limited measurements
- Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
- Phase-modulated entangling gates robust to static and time-varying errors
- Quantum-enhanced metrology with large Fock states
- Amplitude sensing below the zero-point fluctuations with a two-dimensional trapped-ion mechanical oscillator
- -body interactions between trapped ion qubits via spin-dependent squeezing
- Demonstration of three- and four-body interactions between trapped-ion spins
- Measurement of a microwave field amplitude beyond the standard quantum limit
- Superposition of two-mode squeezed states for quantum information processing and quantum sensing
- Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion
- Erasure-cooling, control, and hyper-entanglement of motion in optical tweezers
- Measurement of motion beyond the quantum limit by transient amplification
- Quantum metrology of noisy spreading channels
- Universal hybrid quantum computing in trapped ions
- Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
- State dependent motional squeezing of a trapped ion: new method and applications
- Robust two-qubit trapped ions gates using spin-dependent squeezing
- A cavity-QED protocol for precise field sensing in the optical domain
- Experimental speedup of quantum dynamics through squeezing
- Driven Multiphoton Qubit-Resonator Interactions
- Quantum metrology with a continuous-variable system
- Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
- Hybrid Microwave Radiation Patterns for High-Fidelity Quantum Gates with Trapped Ions
- Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
- Revisiting the impact of dissipation on time-reversed one-axis-twist quantum-sensing protocols
- Compass state: Effect of squeezing and displacement on the Fock space
- Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
- Preparation of conditionally-squeezed states in qubit-oscillator systems
- Quantum-Enhanced Dark Matter Search Using Cat States
- Engineering continuous-variable entanglement in mechanical oscillators with optimal control
- Atom-light entanglement for precise field sensing in the optical domain
- Dispersive regime of multiphoton qubit-oscillator interactions