Direct measurement of the density matrix of a two-photon polarization qubit

Enrique J. Galvez; Andrew D. Goldstein; Chan Ju You; Valeria Rodriguez-Fajardo; Lingyan Shi; Robert R. Alfano

doi:10.1117/12.2666182

6 March 2023 Direct measurement of the density matrix of a two-photon polarization qubit

Enrique J. Galvez, Andrew D. Goldstein, Chan Ju You, Valeria Rodriguez-Fajardo, Lingyan Shi, Robert R. Alfano

Proceedings Volume 12373, Optical Biopsy XXI: Toward Real-Time Spectroscopic Imaging and Diagnosis; 123730C (2023) https://doi.org/10.1117/12.2666182
Event: SPIE BiOS, 2023, San Francisco, California, United States

Abstract

There is interest in using photon entanglement in biomedical applications. In one application, polarization entangled photons pass through brain tissue. The effect of the brain tissue on the photon entanglement is measured via the decoherence that is imparted on the entangled state. Our current method to obtain a measure of the decoherence involves quantum state tomography, where a minimum of 16 measurements are used in conjunction with tomographic optimization to obtain the density matrix representing the state of the photons. In this work we report on a method to avoid tomographic optimization on behalf of a direct measurement of the elements of the density matrix. We make preliminary comparisons between the two methods.

Conference Presentation

Citation Download Citation

Enrique J. Galvez, Andrew D. Goldstein, Chan Ju You, Valeria Rodriguez-Fajardo, Lingyan Shi, and Robert R. Alfano "Direct measurement of the density matrix of a two-photon polarization qubit", Proc. SPIE 12373, Optical Biopsy XXI: Toward Real-Time Spectroscopic Imaging and Diagnosis, 123730C (6 March 2023); https://doi.org/10.1117/12.2666182

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