Optimizing the signal-to-noise ratio of biphoton distribution measurements

Reichert, M., Defienne, H. and Fleischer, J. W. (2018) Optimizing the signal-to-noise ratio of biphoton distribution measurements. Physical Review A: Atomic, Molecular and Optical Physics, 98(1), 013841. (doi: 10.1103/PhysRevA.98.013841)

Abstract

Single-photon-sensitive cameras can now be used as massively parallel coincidence counters for entangled photon pairs. This enables measurement of biphoton joint probability distributions with orders-of-magnitude greater dimensionality and faster acquisition speeds than traditional raster scanning of point detectors; to date, however, there has been no general formula available to optimize data collection. Here we analyze the dependence of such measurements on count rate, detector noise properties, and threshold levels. We derive expressions for the biphoton joint probability distribution and its signal-to-noise ratio (SNR), valid beyond the low-count regime up to detector saturation. The analysis gives operating parameters for global optimum SNR that may be specified prior to measurement. We find excellent agreement with experimental measurements within the range of validity and discuss discrepancies with the theoretical model for high thresholds. This work enables optimized measurement of the biphoton joint probability distribution in high-dimensional joint Hilbert spaces.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Defienne, Dr Hugo
• Authors: Reichert, M., Defienne, H., and Fleischer, J. W.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review A: Atomic, Molecular and Optical Physics
• Publisher: American Physical Society
• ISSN: 1050-2947
• ISSN (Online): 1094-1622