Heisenberg-limited noisy atomic clock using a hybrid coherent and squeezed states protocol

Abstract

We propose a hybrid quantum-classical atomic clock protocol where the interrogation of an ensemble of uncorrelated atoms in a spin-coherent state is used to feedback one (or more) spin-squeezed atomic ensembles toward their optimal phase sensitivity point. This protocol overcomes the stability of a single Ramsey clock and it reaches a Heisenberg-limited stability while avoiding non-destructive measurements. Analytical predictions are compared with numerical simulations of clocks operations including correlated 1/f local oscillator noise.

arXiv comment6 pages, 3 figures

References in corpus (54)

• A variational eigenvalue solver on a quantum processor
• Quantum metrology
• The theory of variational hybrid quantum-classical algorithms
• Quantum metrology with nonclassical states of atomic ensembles
• Quantum interface between light and atomic ensembles
• 14-qubit entanglement: creation and coherence
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Quantum spin squeezing
• Atomic clock performance beyond the geodetic limit
• Quantum optimization using variational algorithms on near-term quantum devices
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Hunting for topological dark matter with atomic clocks
• A clock network for geodesy and fundamental science
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Gravitational wave detection with optical lattice atomic clocks
• Ultra-stable optical clock with two cold-atom ensembles
• States of an Ensemble of Two-Level Atoms with Reduced Quantum Uncertainty
• Magnetic sensitivity beyond the projection noise limit by spin squeezing
• Optimal states and almost optimal adaptive measurements for quantum interferometry
• Optical clock comparison test of Lorentz symmetry
• State estimation for large ensembles
• Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
• Atomic Clocks for Geodesy
• Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
• Approaching the Heisenberg limit without single-particle detection
• Frequency ratio of Yb and Sr clocks with $5\times 10^{-17}$ uncertainty at 150 s averaging time
• Quantum metrology with a scanning probe atom interferometer
• Quantum state magnification
• Orientation-Dependent Entanglement Lifetime in a Squeezed Atomic Clock
• Entanglement-assisted atomic clock beyond the projection noise limit
• Reduced back-action for phase sensitivity 10 times beyond the standard quantum limit
• Stability of atomic clocks based on entangled atoms
• Loschmidt Echo for quantum metrology
• Spin squeezing in a Rydberg lattice clock
• Detecting large quantum Fisher information with finite measurement precision
• Heisenberg-limited atom clocks based on entangled qubits
• Near-Unitary Spin Squeezing in ${}^{171}$Yb
• Simultaneous tracking of spin angle and amplitude beyond classical limits
• Near Heisenberg limited atomic clocks in the presence of decoherence
• Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
• Efficient atomic clocks operated with several atomic ensembles
• Quantum coherence between two atoms beyond Q=10^15
• Squeezing on momentum states for atom interferometry
• Spin squeezing in optical lattice clocks via lattice-based QND measurements
• Phase locking a clock oscillator to a coherent atomic ensemble
• Probing beyond the laser coherence time in optical clock comparisons
• On-Line Estimation of Local Oscillator Noise and Optimisation of Servo Parameters in Atomic Clocks
• Locking Local Oscillator Phase to the Atomic Phase via Weak Measurement
• The quantum Allan variance
• Optimizing Passive Quantum Clocks

Cited by in corpus (35)

• Learning Quantum Systems
• Ytterbium nuclear-spin qubits in an optical tweezer array
• Realizing spin squeezing with Rydberg interactions in a programmable optical clock
• Long-lived Bell states in an array of optical clock qubits
• Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Improving cold-atom sensors with quantum entanglement: Prospects and challenges
• Floquet Engineering to Overcome No-Go Theorem of Noisy Quantum Metrology
• Bayesian Quantum Multiphase Estimation Algorithm
• Entanglement-Enhanced Optical Atomic Clocks
• Experimental multiparameter quantum metrology in adaptive regime
• Quantum metrology in the noisy intermediate-scale quantum era
• Improving Short-Term Stability in Optical Lattice Clocks by Quantum Nondemolition Measurements
• Atomic clock locking with Bayesian quantum parameter estimation: scheme and experiment
• Analysis of spin-squeezing generation in cavity-coupled atomic ensembles with continuous measurements
• Concurrent spin squeezing and light squeezing in an atomic ensemble
• Many-body quantum lock-in amplifier
• Improved absolute clock stability by the joint interrogation of two atomic states
• Quantum-enhanced differential atom interferometers and clocks with spin-squeezing swapping
• Optimizing one-axis twists for variational Bayesian quantum metrology
• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
• Enhancing Quantum Metrology by Quantum Resonance Dynamics
• Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
• Universal time scalings of sensitivity in Markovian quantum metrology
• Quantum Simulation of Bound-State-Enhanced Quantum Metrology
• Entanglement generation via single-qubit rotations in a torn Hilbert space
• Quantum metrology of a structured reservoir
• Quantum metrology in a lossless Mach-Zehnder interferometer using entangled photon inputs
• Time-adaptive phase estimation
• Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving
• Protecting spin squeezing from decoherence
• Extending the dynamic range in quantum frequency estimation with sequential weak measurements
• Delta-kick Squeezing
• Quantum Phase Estimation Algorithm with Gaussian Spin States