Measuring the Schmidt number of parametric down conversion by exploiting photon distribution

Lior Cohen; Elisha S. Matekole; Yehuda Pilnyak; Daniel Istrati; Jonathan P. Dowling; Hagai S. Eisenberg

doi:https://doi.org/10.1116/5.0147694

Measuring the Schmidt number of parametric down conversion by exploiting photon distribution

Lior Cohen, Elisha S. Matekole, Yehuda Pilnyak, Daniel Istrati, Jonathan P. Dowling, Hagai S. Eisenberg

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

The Schmidt number quantifies the number of modes and is mainly used as a measure for the quality of entanglement. We theoretically compute the photon distribution of type-I spontaneous parametric down conversion (SPDC) with an arbitrary Schmidt number. The photon distribution is used for a novel method to measure the Schmidt number. This method requires only two on-off single-photon detectors with no photon number or temporal resolution. The method works in the strong pumping regime where high photon numbers are non-negligible. We experimentally demonstrate the method for type-II SPDC. The easy and fast measurement of the Schmidt number has a broad range of applications from the calibration of strong pump SPDC and entanglement sources to multi-photon quantum interference and Gaussian boson sampling.

Original language	English
Article number	025002
Journal	AVS Quantum Science
Volume	5
Issue number	2
DOIs	https://doi.org/10.1116/5.0147694
State	Published - 1 Jun 2023

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Computer Networks and Communications
Physical and Theoretical Chemistry
Computational Theory and Mathematics
Electrical and Electronic Engineering

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title = "Measuring the Schmidt number of parametric down conversion by exploiting photon distribution",

abstract = "The Schmidt number quantifies the number of modes and is mainly used as a measure for the quality of entanglement. We theoretically compute the photon distribution of type-I spontaneous parametric down conversion (SPDC) with an arbitrary Schmidt number. The photon distribution is used for a novel method to measure the Schmidt number. This method requires only two on-off single-photon detectors with no photon number or temporal resolution. The method works in the strong pumping regime where high photon numbers are non-negligible. We experimentally demonstrate the method for type-II SPDC. The easy and fast measurement of the Schmidt number has a broad range of applications from the calibration of strong pump SPDC and entanglement sources to multi-photon quantum interference and Gaussian boson sampling.",

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AU - Cohen, Lior

AU - Matekole, Elisha S.

AU - Pilnyak, Yehuda

AU - Istrati, Daniel

AU - Dowling, Jonathan P.

AU - Eisenberg, Hagai S.

PY - 2023/6/1

Y1 - 2023/6/1

N2 - The Schmidt number quantifies the number of modes and is mainly used as a measure for the quality of entanglement. We theoretically compute the photon distribution of type-I spontaneous parametric down conversion (SPDC) with an arbitrary Schmidt number. The photon distribution is used for a novel method to measure the Schmidt number. This method requires only two on-off single-photon detectors with no photon number or temporal resolution. The method works in the strong pumping regime where high photon numbers are non-negligible. We experimentally demonstrate the method for type-II SPDC. The easy and fast measurement of the Schmidt number has a broad range of applications from the calibration of strong pump SPDC and entanglement sources to multi-photon quantum interference and Gaussian boson sampling.

AB - The Schmidt number quantifies the number of modes and is mainly used as a measure for the quality of entanglement. We theoretically compute the photon distribution of type-I spontaneous parametric down conversion (SPDC) with an arbitrary Schmidt number. The photon distribution is used for a novel method to measure the Schmidt number. This method requires only two on-off single-photon detectors with no photon number or temporal resolution. The method works in the strong pumping regime where high photon numbers are non-negligible. We experimentally demonstrate the method for type-II SPDC. The easy and fast measurement of the Schmidt number has a broad range of applications from the calibration of strong pump SPDC and entanglement sources to multi-photon quantum interference and Gaussian boson sampling.

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Measuring the Schmidt number of parametric down conversion by exploiting photon distribution

Abstract

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