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Multiple-Phase Quantum Interferometry: Real and Apparent Gains of Measuring All the Phases Simultaneously.
Wojciech Górecki1, Rafał Demkowicz-Dobrzański1
1Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
Physical Review Letters
|February 11, 2022
Summary
Quantum gains in interferometry are analyzed, showing simultaneous phase estimation offers a constant factor improvement, not better scaling as previously claimed. This highlights limitations of quantum Fisher information for certain quantum sensing applications.
Area of Science:
- Quantum information science
- Quantum metrology
- Optical interferometry
Background:
- Quantum Fisher information is a key metric for estimating parameters.
- Interferometry is crucial for precision measurements.
- Previous studies suggested improved scaling for multi-phase estimation.
Purpose of the Study:
- To analyze quantum gains in multiple-phase interferometry.
- To evaluate the sufficiency of quantum Fisher information.
- To compare simultaneous vs. separate phase estimation schemes.
Main Methods:
- Characterization of quantum gains in a lossless multiple-phase interferometer model.
- Analysis of simultaneous and separate phase estimation strategies.
- Comparison with theoretical predictions based on quantum Fisher information.
Main Results:
- Quantum gains are operationally meaningful and quantifiable.
- Quantum Fisher information alone is insufficient for comprehensive analysis.
- Simultaneous estimation provides a constant factor advantage, not improved scaling.
Conclusions:
- The analysis of quantum gains requires methods beyond quantum Fisher information.
- Simultaneous phase estimation offers a practical, albeit constant, advantage.
- Widely cited claims of better precision scaling need re-evaluation.
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