Extending the dynamic range in quantum frequency estimation with sequential weak measurements

Abstract

Quantum metrology explores optimal quantum protocols for parameter estimation. In the context of optical atomic clocks, conventional protocols focus on optimal input states and measurements to achieve enhanced sensitivities. However, such protocols are typically limited by phase slip errors inflicted due to the decoherence of the local oscillator. Here, we study schemes to extend the dynamic range and overcome phase slip noise through weak measurements with ancilla qubits. Using coherent spin states, we find optimal weak measurements protocols: we identify optimal measurement strength for any given interrogation time and number of atoms. Then, we combine weak and projective measurements to construct a protocol that asymptotically saturates the noiseless precision limits, and outperforms previously proposed methods for phase slip noise suppression.

5 + 20 pages

References in corpus (40)

• Quantum sensing
• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• Entanglement-free Heisenberg-limited phase estimation
• Optical clock intercomparison with $6\times 10^{-19}$ precision in one hour
• Sub-millihertz magnetic spectroscopy with a nanoscale quantum sensor
• Optimal metrology with programmable quantum sensors
• Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
• How to perform the most accurate possible phase measurements
• Seconds-scale coherence in a tweezer-array optical clock
• The Fisher information and the quantum Cramer-Rao sensitivity limit of continuous measurements
• True precision limits in quantum metrology
• Heisenberg-limited atom clocks based on entangled qubits
• Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement
• Multi-qubit gates and Schrödinger cat states in an optical clock
• An atomic array optical clock with single-atom readout
• Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
• Bayesian quantum frequency estimation in presence of collective dephasing
• High-resolution spectroscopy of single nuclear spins via sequential weak measurements
• Near Heisenberg limited atomic clocks in the presence of decoherence
• Learning many-body Hamiltonians with Heisenberg-limited scaling
• Noisy quantum metrology enhanced by continuous nondemolition measurement
• Universal quantum operations and ancilla-based readout for tweezer clocks
• Asymptotic theory of quantum channel estimation
• Ultimate limits for quantum magnetometry via time-continuous measurements
• Heisenberg-limited noisy atomic clock using a hybrid coherent and squeezed states protocol
• Quantum metrology with imperfect measurements
• Multi-ensemble metrology by programming local rotations with atom movements
• Efficient Information Retrieval for Sensing via Continuous Measurement
• 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
• Quantum spectroscopy of single spins assisted by a classical clock
• Optimal protocols for quantum metrology with noisy measurements
• Improved sensing with a single qubit
• Atomic clock locking with Bayesian quantum parameter estimation: scheme and experiment
• Achieving the ultimate precision limit in quantum NMR spectroscopy
• Limited-control metrology approaching the Heisenberg limit without entanglement preparation
• Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
• Heisenberg-limited Bayesian phase estimation with low-depth digital quantum circuits
• Biasing quantum trajectories for enhanced sensing
• Robust projective measurements through measuring code-inspired observables