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

Author:

Cohen Lior123ORCID,Matekole Elisha S.2,Pilnyak Yehuda1ORCID,Istrati Daniel1,Dowling Jonathan P.2456,Eisenberg Hagai S.1

Affiliation:

1. Racah Institute of Physics, Hebrew University of Jerusalem 1 , Jerusalem 91904, Israel

2. Hearne Institute for Theoretical Physics, and Department of Physics and Astronomy, Louisiana State University 2 , Baton Rouge, Louisiana 70803, USA

3. Department of Electrical, Computer and Energy Engineering, University of Colorado Boulder 3 , Boulder, Colorado 80309, USA

4. NYU-ECNU Institute of Physics at NYU Shanghai 4 , 3663 Zhongshan Road North, Shanghai, 200062, China

5. LCAS-Alibaba Quantum Computing Laboratory, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China 5 , Shanghai 201315, China

6. National Institute of Information and Communications Technology 6 , 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, Japan

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.

Publisher

American Vacuum Society

Subject

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

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