Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit
arXiv:2312.07686 · doi:10.22331/q-2024-09-25-1480
Abstract
Phase estimation plays a central role in communications, sensing, and information processing. Quantum correlated states, such as squeezed states, enable phase estimation beyond the shot-noise limit, and in principle approach the ultimate quantum limit in precision, when paired with optimal quantum measurements. However, physical realizations of optimal quantum measurements for optical phase estimation with quantum-correlated states are still unknown. Here we address this problem by introducing an adaptive Gaussian measurement strategy for optical phase estimation with squeezed vacuum states that, by construction, approaches the quantum limit in precision. This strategy builds from a comprehensive set of locally optimal POVMs through rotations and homodyne measurements and uses the Adaptive Quantum State Estimation framework for optimizing the adaptive measurement process, which, under certain regularity conditions, guarantees asymptotic optimality for this quantum parameter estimation problem. As a result, the adaptive phase estimation strategy based on locally-optimal homodyne measurements achieves the quantum limit within the phase interval of . Furthermore, we generalize this strategy by including heterodyne measurements, enabling phase estimation across the full range of phases from , where squeezed vacuum allows for unambiguous phase encoding. Remarkably, for this phase interval, which is the maximum range of phases that can be encoded in squeezed vacuum, this estimation strategy maintains an asymptotic quantum-optimal performance, representing a significant advancement in quantum metrology.
23 pages, 11 figures
References in corpus (43)
- Quantum sensing
- Advances in Quantum Metrology
- Gaussian Quantum Information
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Quantum Fisher information matrix and multiparameter estimation
- Optimal states and almost optimal adaptive measurements for quantum interferometry
- Quantum Trajectories and Quantum Measurement Theory
- Quantum Tomography
- Schrodinger cats and their power for quantum information processing
- Optimal phase measurements with pure Gaussian states
- Quantum Plasmonic Sensors
- 0.75 atoms improve the clock signal of 10,000 atoms
- Ab-initio Quantum Enhanced Optical Phase Estimation Using Real-time Feedback Control
- Quantum engineering of squeezed states for quantum communication and metrology
- Tutorial: Optical quantum metrology
- Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum
- Optimal probe states for the estimation of Gaussian unitary channels
- Phase estimation for thermal Gaussian states
- Optimal Gaussian measurements for phase estimation in single-mode Gaussian metrology
- Quantum state reconstruction via continuous measurement
- Bayesian estimation in homodyne interferometry
- 13dB Squeezed Vacuum States at 1550nm from 12mW external pump power at 775nm
- Quantum-enhanced magnetometry by phase estimation algorithms with a single artificial atom
- Bures and Statistical Distance for Squeezed Thermal States
- Optimal Distributed quantum sensing using Gaussian states
- Deterministic quantum phase estimation beyond the ideal NOON state limit
- Operational formulation of homodyne detection
- Engineering matter interactions using squeezed vacuum
- Tight Cramér-Rao type bounds for multiparameter quantum metrology through conic programming
- Squeezing metrology: a unified framework
- Implementation of a canonical phase measurement with quantum feedback
- Adaptive phase estimation is more accurate than non-adaptive phase estimation for continuous beams of light
- General-dyne unravelling of a thermal master equation
- Advantage of Coherent States in Ring Resonators over Any Quantum Probe Single-Pass Absorption Estimation Strategy
- Extremal covariant measurements
- On the classical capacity of quantum Gaussian measurement
- Exact quantum sensing limits for bosonic dephasing channels
- Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing
- Single-shot non-Gaussian Measurements for Optical Phase Estimation
- Quantifying the performance of approximate teleportation and quantum error correction via symmetric two-PPT-extendibility
- Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation
- Demonstration of optimal non-projective measurement of binary coherent states with photon counting