Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states
arXiv:2407.13433 · doi:10.1088/1674-1056/ad8dc0
Abstract
Quantum phase estimation based on Gaussian states plays a crucial role in many application fields. In this paper, we study the precision bound for the scheme using two-mode squeezed Gaussian states. The quantum Fisher information is calculated and its maximization is used to determine the optimal parameters. We find that two single-mode squeezed vacuum states are the optimal inputs and the corresponding precision bound is superior to the Heisenberg limit by a factor of 2. For practical purposes, we consider the effects originating from photon loss. The precision bound can still outperform the shot-noise limit when the lossy rate is below 0.4. Our work may demonstrate a significant and promising step towards practical quantum metrology.
References in corpus (25)
- Gaussian Quantum Information
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Quantum Fisher information matrix and multiparameter estimation
- Quantum metrology with entangled coherent states
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- Optimal quantum estimation of loss in bosonic channels
- Optimal quantum-enhanced interferometry using a laser power source
- Coherent-Light Boosted, Super-Sensitive, Quantum Interferometry
- Quantum Entangled Interferometers
- Two-Color Bright Squeezed Vacuum
- Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection
- Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum
- Gaussian state interferometry with passive and active elements
- Quantum interferometer combining squeezing and parametric amplification
- Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
- Nearly Optimal Measurement Scheme in a Noisy Mach-Zehnder Interferometer with Coherent and Squeezed Vacuum
- Unconditional and robust quantum metrological advantage beyond NOON states
- SU(2)-in-SU(1,1) Nested Interferometer for Highly Sensitive, Loss-Tolerant Quantum Metrology
- Deterministic quantum phase estimation beyond the ideal NOON state limit
- Conclusive Precision Bounds for SU(1,1) Interferometers
- Phase sensitivity approaching quantum Cramer-Rao bound in a modified SU(1,1) interferometer
- Toward demonstrating super-sensitive angular displacement estimation by using orbital angular momentum coherent state and SU(1,1)-SU(2) hybrid interferometer
- Optimal entangled coherent states in lossy quantum-enhanced metrology
- Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states