Tomography of the quantum state of photons entangled in high dimensions
Abstract
Systems entangled in high dimensions have recently been proposed as important tools for various quantum information protocols, such as multibit quantum key distribution and loophole-free tests of nonlocality. It is therefore important to have precise knowledge of the nature of such entangled quantum states. We tomographically reconstruct the quantum state of the two photons produced by parametric downconversion that are entangled in a $d$-dimensional orbital angular momentum basis. We determine exactly the density matrix of the entangled two-qu$d$it state with $d$ ranging from 2 to 8. The recording of higher-dimensional states is limited only by the number of data points required and therefore the length of time needed to complete the measurements. We find all the measured states to have fidelities and linear entropies that satisfy the criteria required for a violation of the appropriate high-dimensional Bell inequality. Our results therefore precisely characterize the nature of the entanglement, thus establishing the suitability of such states for applications in quantum information science.
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Self-citation
- Authors
- Agnew, M., Leach, J., McLaren, M., Roux, F. S., & Boyd, R. W.
- Affiliations
- University of Ottawa (CA)
- Council for Scientific and Industrial Research (ZA)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2011-12-02
- Volume
- 84
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2123448231
- Semantic Scholar
- abb1965a58ab9db38e4f83c3fc5408f0b9d65a63
- Cited by
- 162
- References
- 30
- Citations by year
- 2026: 6 · 2025: 14 · 2024: 10 · 2023: 10 · 2022: 11 · 2021: 8 · 2020: 11 · 2019: 14 · 2018: 14 · 2017: 11 · 2016: 17 · 2015: 6 · 2014: 13 · 2013: 10 · 2012: 7
- FWCI
- 8.85
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- high-dimensional entanglement, orbital angular momentum, photon entanglement, quantum state tomography, density matrix reconstruction, qudits, parametric down-conversion, Bell inequality violation, linear entropy, quantum key distribution, nonlocality
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