Direct measurement of the density matrix of a two-photon polarization qubit
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.
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James, D. F. V., Kwiat, P. G., Munro, W. J., & White, A. G. (2001) · Physical Review A · doi:10.1103/physreva.64.052312 · Cited by 2,176 · cited 1× · see citing works
“The characterization of the state of the photons is usually done by quantum state tomography, where a minimum of 16 measurements is used to determine the density matrix of the state of the photons.(2) The method to obtain the density matrix consists of two parts.”
MethodUltrabright source of polarization-entangled photons
Kwiat, P. G., Waks, E., White, A. G., Appelbaum, I., & Eberhard, P. H. (1999) · Physical Review A · doi:10.1103/physreva.60.r773 · Cited by 1,142 · see citing works
Photon Entanglement Through Brain Tissue
Shi, L., Galvez, E. J., & Alfano, R. R. (2016) · Scientific Reports · doi:10.1038/srep37714 · Cited by 43 · see citing works
Self-citationDecoherence of photon entanglement by transmission through brain tissue with Alzheimer’s disease
Galvez, E. J., Sharma, B., Williams, F. K., et al. (2022) · Biomedical Optics Express · doi:10.1364/boe.474469 · Cited by 9 · see citing works
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- Authors
- Galvez, E. J., Goldstein, A. D., You, C. J., Rodriguez-Fajardo, V., Shi, L., & Alfano, R. R.
- Affiliations
- Colgate University (US)
- University of California San Diego (US)
- City College of New York (US)
- Venue
- Optical Biopsy XXI: Toward Real-Time Spectroscopic Imaging and Diagnosis
- Publisher
- SPIE
- Published
- 2023-03-06
- Pages
- 36
- OpenAlex
- W4323306486
- Semantic Scholar
- 73e24d678a51c4f7b14da98b9fbdba94b5cfb53a
- Cited by
- 1
- References
- 4
- Citations by year
- 2025: 1
- FWCI
- 0.20
- Type
- conference paper
- Language
- en
- Open access
- closed
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- polarization entanglement, decoherence, brain tissue, quantum state tomography
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