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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Importance Sampling of Randomized Measurements for Probing Entanglement
Aniket Rath1, Rick van Bijnen2,3, Andreas Elben2,3
1Université Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France.
Physical Review Letters
|December 3, 2021
Summary
This study introduces a new method combining randomized measurements and importance sampling to efficiently characterize entanglement in large quantum systems. This approach significantly reduces errors and the number of measurements needed, advancing quantum state analysis.
Area of Science:
- Quantum Information Science
- Many-Body Quantum Systems
- Quantum Entanglement
Background:
- Characterizing entanglement in large quantum systems is computationally challenging.
- Existing methods require extensive measurements and are prone to statistical errors.
Purpose of the Study:
- To develop a more efficient and accurate method for measuring entanglement in large quantum systems.
- To reduce the number of required measurements and minimize statistical errors.
Main Methods:
- Combining randomized measurement protocols with importance sampling.
- Utilizing classical machine learning and tensor network techniques.
- Leveraging partial information about the quantum state.
Main Results:
- Enables entanglement characterization in significantly larger quantum systems.
- Achieves a drastic reduction in statistical errors.
- Demonstrates an exponential reduction in measurements for estimating state purity (product and GHZ states).
Conclusions:
- The proposed method significantly enhances the scalability and efficiency of entanglement measurements.
- This advancement is crucial for current experimental settings in engineered many-body quantum systems.
- The technique broadens the scope of measurable (sub-)system sizes for entanglement analysis.
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