Optimal multiple-phase estimation with multi-mode NOON states against photon loss
arXiv:2401.09734 · doi:10.1088/1367-2630/ad5eaf
Abstract
Multi-mode NOON states can quantum-enhance multiple-phase estimation in the absence of photon loss. However, a multi-mode NOON state is known to be vulnerable to photon loss, and its quantum-enhancement can be dissipated by lossy environment. In this work, we demonstrate that a quantum advantage in estimate precision can still be achieved in the presence of photon loss. This is accomplished by optimizing the weights of the multi-mode NOON states according to photon loss rates in the multiple modes, including the reference mode which defines the other phases. For practical relevance, we also show that photon-number counting via a multi-mode beam-splitter achieves the useful, albeit sub-optimal, quantum advantage. We expect this work to provide valuable guidance for developing quantum-enhanced multiple-phase estimation techniques in lossy environments.
10 pages, 7 figures
References in corpus (30)
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Fisher information matrix and multiparameter estimation
- Quantum metrology with entangled coherent states
- Squeezed states of light and their applications in laser interferometers
- Optimal Quantum Phase Estimation
- Quantum Enhanced Multiple Phase Estimation
- Distributed quantum sensing in a continuous variable entangled network
- Quantum phase estimation with lossy interferometers
- Multi-parameter Quantum Metrology
- Experimental quantum-enhanced estimation of a lossy phase shift
- Entanglement-enhanced measurement of a completely unknown phase
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Distributed quantum phase estimation with entangled photons
- Demonstration of a Reconfigurable Entangled Radiofrequency-Photonic Sensor Network
- Quantum Advantage in Postselected Metrology
- Phase estimation without a priori knowledge in the presence of loss
- Experimental multiphase estimation on a chip
- Quantum-enhanced metrology for multiple phase estimation with noise
- Multiparameter squeezing for optimal quantum enhancements in sensor networks
- Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
- Multiphoton interference in quantum Fourier transform circuits and applications to quantum metrology
- Precision Limits in Quantum Metrology with Open Quantum Systems
- Quantum multiparameter metrology with generalized entangled coherent state
- Field demonstration of distributed quantum sensing without post-selection
- Quantum Error-Correcting Codes for Qudit Amplitude Damping
- Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
- Optimized communication strategies with binary coherent states over phase noise channels
- Multiphase estimation without a reference mode
- Optimal entangled coherent states in lossy quantum-enhanced metrology
- Distributed quantum phase sensing for arbitrary positive and negative weights
Cited by in corpus (6)
- Distributed quantum sensing with multi-mode states
- Persistent quantum advantage with definite photon-number states in lossy multiple-phase estimation
- Quantum multiphase estimation
- Unified strategy for non-invertible Fisher information matrix in quantum metrology
- Unraveling quantum phase estimation: exploring the impact of multi-photon interference on the quantum Fisher information
- Universal Operational Privacy in Distributed Quantum Sensing