Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer
arXiv:2012.07645 · doi:10.1038/s41598-021-95005-7
Abstract
In this work we investigate the problem of simultaneous estimation of phases using generalised three- and four-mode Mach-Zehnder interferometer. In our setup, we assume that the phases are placed in each of the modes in the interferometer, which introduces correlations between estimators of the phases. These correlations prevent simultaneous estimation of all these phases, however we show that we can still obtain the Heisenberg-like scaling of precision of joint estimation of any subset of phases, being the number of modes, within completely fixed experimental setup, namely with the same initial state and set of measurements. Our estimation scheme can be applied to the task of quantum-enhanced sensing in three-dimensional interferometric configurations.
arXiv comment13 pages, 2 figures
References in corpus (27)
- Quantum metrology from a quantum information science perspective
- Quantum Fisher information matrix and multiparameter estimation
- Quantum limits in optical interferometry
- Quantum Enhanced Multiple Phase Estimation
- Compatibility in Multiparameter Quantum Metrology
- Multi-parameter Quantum Metrology
- A Geometric Perspective on Quantum Parameter Estimation
- General optimality of the Heisenberg limit for quantum metrology
- Quantum interferometry with and without an external phase reference
- Sensitivity Bounds for Multiparameter Quantum Metrology
- Quantum interferometry with three-dimensional geometry
- Experimental multiphase estimation on a chip
- Quantum-enhanced metrology for multiple phase estimation with noise
- Local versus Global Strategies in Multi-parameter Estimation
- Quantum Semiparametric Estimation
- Universality of the Heisenberg limit for estimates of random phase shifts
- Quantum state estimation with nuisance parameters
- Quantum multiparameter metrology with generalized entangled coherent state
- Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
- Optimal probes and error-correction schemes in multi-parameter quantum metrology
- Single- versus two-parameter Fisher information in quantum interferometry
- One from many: Estimating a function of many parameters
- Multiparameter estimation with single photons
- Experimental creation of Multi-Photon High-Dimensional Layered Quantum States
- Multiphase estimation without a reference mode
- Multi-parameter estimation with multi-mode Ramsey interferometry
- Entanglement preparation using symmetric multiports