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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Negative Quasiprobabilities Enhance Phase Estimation in Quantum-Optics Experiment.

Noah Lupu-Gladstein¹, Y Batuhan Yilmaz¹, David R M Arvidsson-Shukur²

¹CQIQC and Department of Physics, University of Toronto, 60 Saint George Street, Toronto, Ontario M5S 1A7, Canada.

Physical Review Letters

|June 17, 2022

Summary

This summary is machine-generated.

Quantum noncommutation can enhance measurement precision. A new technique, partially postselected amplification (PPA), uses negative quasiprobabilities to significantly boost phase measurement information per photon.

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Area of Science:

Quantum mechanics
Quantum metrology
Quantum information

Background:

Operator noncommutation in quantum mechanics traditionally limits measurement precision due to uncertainty principles.
However, noncommutation can be leveraged to enhance precision under specific conditions.
A recent theoretical advance links metrological advantages to negative quasiprobabilities generated by noncommuting operators.

Purpose of the Study:

To theoretically and experimentally establish a precise relationship between noncommuting operators, negative quasiprobabilities, and enhanced measurement precision.
To introduce and validate a novel experimental technique, partially postselected amplification (PPA), for precision measurements.
To explore the practical implications and limitations of PPA in quantum metrology.

Main Methods:

Theoretical derivation of an equation quantifying the metrological advantage.
Experimental implementation using a proof-of-principle optical setup.
Application of a novel filtering technique termed partially postselected amplification (PPA).
Measurement of a wave plate's birefringent phase using the PPA technique.

Main Results:

The study crystallizes the relationship between noncommutation, negative quasiprobabilities, and metrological advantage into a provable equation.
Partially postselected amplification (PPA) demonstrated an amplification of information obtained about phase per detected photon by over two orders of magnitude.
Theoretically, PPA offers potential for arbitrarily large information gain per photon, practically bounded by the amplification of systematic errors.

Conclusions:

PPA provides a significant boost in measurement precision, particularly for phase measurements.
The technique effectively mitigates challenges that scale with the number of trials, such as noise and detector saturation.
This work highlights deep connections between fundamental quantum theory (quasiprobabilities) and practical precision measurement applications.