Density operators and quantum tomography for optimizing a Bell parameter measurement in the graduate laboratory

We discuss how quantum state tomography of entangled photon pairs can be used in the lab as a natural follow-up to popular Bell inequalities experiments for graduate students and to introduce them to more advanced quantum concepts. In addition, we discuss how the measured density matrix can be used to quantitatively estimate the quantum state quality and optimize the Bell measurement to reach its maximum expected value for an arbitrary two-photon entangled state.

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Publication Details

Journal
American Journal of Physics
Published
2025-12-23
DOI
https://doi.org/10.1119/5.0280007
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
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article

Density operators and quantum tomography for optimizing a Bell parameter measurement in the graduate laboratory

Marina Kleine, Renaud Mathevet, Nicolas Ombredane, Sébastien Massenot et al.
American Journal of Physics
Quantum Information and Cryptography
article

Density operators and quantum tomography for optimizing a Bell parameter measurement in the graduate laboratory

Marina Kleine, Renaud Mathevet, Nicolas Ombredane, Sébastien Massenot, Bénoît Chalopin, Alban Leschallier de Lisle
article en

Abstract

We discuss how quantum state tomography of entangled photon pairs can be used in the lab as a natural follow-up to popular Bell inequalities experiments for graduate students and to introduce them to more advanced quantum concepts. In addition, we discuss how the measured density matrix can be used to quantitatively estimate the quantum state quality and optimize the Bell measurement to reach its maximum expected value for an arbitrary two-photon entangled state.

American Journal of PhysicsVol. 94(1)
Centre National de la Recherche Scientifique (FR), Université Fédérale de Toulouse Midi-Pyrénées (FR), National Higher French Institute of Aeronautics and Space (FR)
Openalex Percentile: Top 19%
Quantum Information and Cryptography
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