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Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer
Marcin Markiewicz1, Mahasweta Pandit2, Wiesław Laskowski3,2
1International Centre for Theory of Quantum Technologies, University of Gdańsk, 80-308, Gdańsk, Poland. marcin.markiewicz@ug.edu.pl.
Scientific Reports
|August 3, 2021
Summary
This study explores simultaneous phase estimation using Mach-Zehnder interferometers. Researchers achieved Heisenberg-like precision for subsets of phases, crucial for quantum-enhanced sensing.
Area of Science:
- Quantum optics
- Quantum metrology
Background:
- Simultaneous phase estimation is challenging due to correlations introduced by multi-mode interferometers.
- Existing methods struggle with precise joint estimation of all phases in complex setups.
Purpose of the Study:
- To investigate simultaneous phase estimation in generalized three- and four-mode Mach-Zehnder interferometers.
- To develop a method for achieving Heisenberg-like scaling in precision for joint phase estimation.
Main Methods:
- Utilizing generalized three- and four-mode Mach-Zehnder interferometer setups.
- Analyzing the correlations between phase estimators in multi-mode configurations.
- Developing a fixed experimental setup for simultaneous estimation of phase subsets.
Main Results:
- Correlations between phase estimators prevent simultaneous estimation of all phases.
- Heisenberg-like scaling of precision is achievable for joint estimation of any subset of phases.
- The proposed scheme works within a fixed experimental setup.
Conclusions:
- The developed scheme enables Heisenberg-like precision for joint phase estimation of phase subsets.
- This method is applicable to quantum-enhanced sensing in 3D interferometric configurations.
- The findings offer advancements in precise quantum measurements.

