Minimum Number of Copies in the Measurement of Multi-Photon Entanglement

TL;DR

This paper introduces a novel scheme using Lagrange multipliers and feedback to reduce the number of measurement copies and time in multi-photon entanglement experiments while maintaining fidelity accuracy, supported by experimental and simulation data.

Contribution

It proposes a new measurement scheme that significantly reduces copies and time in multi-photon entanglement experiments, improving efficiency and fidelity estimation.

Findings

Saved 5% of measurement time in eight-photon experiments.

Reduced copies by 22.45% in ten-photon simulations.

Optimized copy distribution enhances fidelity estimation.

Abstract

Multi-photon entanglement has been successfully made by experimental groups. As the increase of photon number, several problems are encountered, say, greater number of copies, longer time, the error of fidelity and so on. In this paper, we present a new scheme based on Lagrange multiplier and feedback to save the measure copies in multi-photon experiment and five percent of measuring time, also guarantee the acceptable error of fidelity. All the results have been supported by the data of eight photon experiment. Furthermore, same approach is applied in the simulation for ten photon entanglement, and 22.45 percent of copies are saved, optimized copy distribution gives better estimation of fidelity than the average copy distribution.