Self-healing of quantum entanglement after an obstruction
Open accessAbstract
Quantum entanglement between photon pairs is fragile and can easily be masked by losses in transmission path and noise in the detection system. When observing the quantum entanglement between the spatial states of photon pairs produced by parametric down-conversion, the presence of an obstruction introduces losses that can mask the correlations associated with the entanglement. Here we show that we can overcome these losses by measuring in the Bessel basis, thus once again revealing the entanglement after propagation beyond the obstruction. We confirm that, for the entanglement of orbital angular momentum, measurement in the Bessel basis is more robust to these losses than measuring in the usually employed Laguerre-Gaussian basis. Our results show that appropriate choice of measurement basis can overcome some limitations of the transmission path, perhaps offering advantages in free-space quantum communication or quantum processing systems.
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South African researchers have made pioneering contributions in structured light for quantum information processing, including the first high-dimensional entanglement with spatial modes for communications and self-healing quantum states.
“there have been pioneering work with structured light for quantum information processing [21][22][23] that include the first highdimensional entanglement with spatial modes for communications 24 and self-healing quantum states.25”
From Toward a quantum future for South Africa (2021) · cites this paper as [25]
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Cites
Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
Allen, L., Beijersbergen, M. W., Spreeuw, R. J. C., & Woerdman, J. P. (1992) · Physical Review A · doi:10.1103/physreva.45.8185 · Cited by 10,455 · see citing works
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573 · see citing works
The security of practical quantum key distribution
Scarani, V., Bechmann-Pasquinucci, H., Cerf, N. J., Dušek, M., Lütkenhaus, N., & Peev, M. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1301 · Cited by 3,736 · see citing works
Durnin, J., Miceli, J. J., & Eberly, J. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1499 · Cited by 3,693 · see citing works
Entanglement of the orbital angular momentum states of photons
Mair, A., Vaziri, A., Weihs, G., & Zeilinger, A. (2001) · Nature · doi:10.1038/35085529 · Cited by 3,321 · see citing works
Orbital angular momentum: origins, behavior and applications
Yao, A. M., & Padgett, M. J. (2011) · Advances in Optics and Photonics · doi:10.1364/aop.3.000161 · Cited by 3,277 · see citing works
Self-citationEntanglement of a pair of quantum bits
Hill, S., & Wootters, W. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.5022 · Cited by 2,823 · see citing works
Exact solutions for nondiffracting beams I The scalar theory
Durnin, J. (1987) · Journal of the Optical Society of America A · doi:10.1364/josaa.4.000651 · Cited by 2,638 · see citing works
Bessel beams: Diffraction in a new light
McGloin, D., & Dholakia, K. (2004) · Contemporary Physics · doi:10.1080/0010751042000275259 · Cited by 1,386 · see citing works
Yu, T., & Eberly, J. H. (2009) · Science · doi:10.1126/science.1167343 · Cited by 1,097 · see citing works
Gori, F., Guattari, G., & Padovani, C. (1987) · Optics Communications · doi:10.1016/0030-4018(87)90276-8 · Cited by 993 · see citing works
Bell Inequalities for Arbitrarily High-Dimensional Systems
Collins, D., Gisin, N., Linden, N., Massar, S., & Popescu, S. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.040404 · Cited by 984 · see citing works
Atmospheric Turbulence and Orbital Angular Momentum of Single Photons for Optical Communication
Paterson, C. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.153901 · Cited by 766 · see citing works
Dada, A. C., Leach, J., Buller, G. S., Padgett, M. J., & Andersson, E. (2011) · Nature Physics · doi:10.1038/nphys1996 · Cited by 678 · see citing works
Self-citationSelf-reconstruction of a distorted nondiffracting beam
Bouchal, Z., Wagner, J., & Chlup, M. (1998) · Optics Communications · doi:10.1016/s0030-4018(98)00085-6 · Cited by 533 · see citing works
A Decoherence-Free Quantum Memory Using Trapped Ions
Kielpinski, D., Meyer, V., Rowe, M. A., Sackett, C. A., Itano, W. M., Monroe, C. R., & Wineland, D. J. (2001) · Science · doi:10.1126/science.1057357 · Cited by 452 · see citing works
Holographic generation of diffraction-free beams
Turunen, J. P., Vasara, A. H., & Friberg, A. T. (1988) · Applied Optics · doi:10.1364/ao.27.003959 · Cited by 377 · see citing works
Mafu, M., Dudley, A., Goyal, S., Giovannini, D., McLaren, M., Padgett, M. J., Konrad, T., Petruccione, F., Lütkenhaus, N., & Forbes, A. (2013) · Physical Review A · doi:10.1103/physreva.88.032305 · Cited by 349 · see citing works
Self-citationDouble-slit interference with Laguerre-Gaussian beams
Sztul, H. I., & Alfano, R. R. (2006) · Optics Letters · doi:10.1364/ol.31.000999 · Cited by 308 · see citing works
Optical tweezers and optical spanners with Laguerre-Gaussian modes
Simpson, N. B., Allen, L., & Padgett, M. J. (1996) · Journal of Modern Optics · doi:10.1080/09500349608230675 · Cited by 280 · see citing works
Self-citationExperimental Realization of Noiseless Subsystems for Quantum Information Processing
Viola, L., Fortunato, E. M., Pravia, M. A., Knill, E. H., Laflamme, R., & Cory, D. G. (2001) · Science · doi:10.1126/science.1064460 · Cited by 235 · see citing works
Interfering Bessel beams for optical micromanipulation
McGloin, D., Garces, V. G., & Dholakia, K. (2003) · Optics Letters · doi:10.1364/ol.28.000657 · Cited by 221 · see citing works
Zhao, S., Leach, J., Gong, L., Ding, J., & Zheng, B. (2011) · Optics Express · doi:10.1364/oe.20.000452 · Cited by 190 · see citing works
Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces
Leach, J., Jack, B., Romero, J., Ritsch‐Marte, M., Boyd, R. W., Jha, A. K., Barnett, S. M., Franke‐Arnold, S., & Padgett, M. J. (2009) · Optics Express · doi:10.1364/oe.17.008287 · Cited by 173 · see citing works
Self-citationКлышко, Д. Н. (1988) · Soviet Physics Uspekhi · doi:10.1070/pu1988v031n01abeh002537 · Cited by 133 · see citing works
Entangled Bessel-Gaussian beams
McLaren, M., Agnew, M., Leach, J., Roux, F. S., Padgett, M. J., Boyd, R. W., & Forbes, A. (2012) · Optics Express · doi:10.1364/oe.20.023589 · Cited by 126 · see citing works
Self-citationRodenburg, B., Mirhosseini, M., Malik, M., Magaña‐Loaiza, O. S., Yanakas, M., Maher, L., Steinhoff, N. K., Tyler, G. A., & Boyd, R. W. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/3/033020 · Cited by 124 · see citing works
Orbital-angular-momentum entanglement in turbulence
Ibrahim, A. H., Roux, F. S., McLaren, M. G., Konrad, T., & Forbes, A. (2013) · Physical Review A · doi:10.1103/physreva.88.012312 · Cited by 118 · see citing works
Self-citationCharacterization of High-Dimensional Entangled Systems via Mutually Unbiased Measurements
Giovannini, D., Romero, J., Leach, J., Dudley, A., Forbes, A., & Padgett, M. J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.143601 · Cited by 112 · see citing works
Self-citationPrecise quantum tomography of photon pairs with entangled orbital angular momentum
Jack, B., Leach, J., Ritsch, H., Barnett, S. M., Padgett, M. J., & Franke‐Arnold, S. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/10/103024 · Cited by 98 · see citing works
Self-citationEntangled singularity patterns of photons in Ince-Gauss modes
Krenn, M., Fickler, R., Huber, M., Łapkiewicz, R., Plick, W. N., Ramelow, S., & Zeilinger, A. (2013) · Physical Review A · doi:10.1103/physreva.87.012326 · Cited by 83 · see citing works
A conical wave approach to calculating Bessel–Gauss beam reconstruction after complex obstacles
Litvin, I. A., McLaren, M. G., & Forbes, A. (2008) · Optics Communications · doi:10.1016/j.optcom.2008.11.079 · Cited by 77 · see citing works
Self-citationGeneration of hybrid polarization-orbital angular momentum entangled states
Nagali, E., & Sciarrino, F. (2010) · Optics Express · doi:10.1364/oe.18.018243 · Cited by 64 · see citing works
Nondiffracting random intensity patterns
Cottrell, D. M., Craven, J. M., & Davis, J. A. (2007) · Optics Letters · doi:10.1364/ol.32.000298 · Cited by 48 · see citing works
Two-photon optics of Bessel-Gaussian modes
McLaren, M. G., Romero, J., Padgett, M. J., Roux, F. S., & Forbes, A. (2013) · Physical Review A · doi:10.1103/physreva.88.033818 · Cited by 45 · see citing works
Self-citationRecovery of Entanglement Lost in Entanglement Manipulation
Morikoshi, F. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.3189 · Cited by 36 · see citing works
Robust entangled qutrit states in atmospheric turbulence
Brünner, T., & Roux, F. S. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/6/063005 · Cited by 31 · see citing works
Self-citationObservation of non-diffracting behavior at the single-photon level
Cruz-Ramírez, H., Ramírez-Alarcón, R., Morelos, F. J., Quinto-Su, P. A., Gutiérrez-Vega, J. C., & U’Ren, A. B. (2012) · Optics Express · doi:10.1364/oe.20.029761 · Cited by 26 · see citing works
Resilience of orbital-angular-momentum photonic qubits and effects on hybrid entanglement
Giovannini, D., Nagali, E., Marrucci, L., & Sciarrino, F. (2011) · Physical Review A · doi:10.1103/physreva.83.042338 · Cited by 23 · see citing works
Rodenburg, B., Mirhosseini, M., Malik, M., Magaña-Loaiza, O. S., Yanakas, M., Maher, L., Steinhoff, N. K., Tyler, G. A., & Boyd, R. W. (2013) · arXiv · doi:10.48550/arxiv.1301.7454
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Cheng, M., Guo, L., Li, J., & Zhang, Y. (2016) · IEEE photonics journal · doi:10.1109/jphot.2016.2518865 · Cited by 144 · see citing works
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Self-citationUltrabroadband terahertz-band communications with self-healing bessel beams
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Wave-optics description of self-healing mechanism in Bessel beamsPreprint
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Aiello, A., Agarwal, G. S., Paùr, M., Stoklasa, B., Hradil, Z., Řeháček, J., de la Hoz, P., Leuchs, G., & Sánchez-Soto, L. L. (2017) · Optics Express · doi:10.1364/oe.25.019147 · Cited by 50 · see citing works
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Digital generation of shape-invariant Bessel-like beams
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Li, M., Tang, X., Wang, H., Li, J., Wang, W., Cai, J., Zhang, J., San, X., Zhao, X., Ma, P., et al. (2025) · Light Science & Applications · doi:10.1038/s41377-025-01845-7 · Cited by 16 · see citing works
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Do Laguerre–Gaussian beams recover their spatial properties after all obstacles?
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Implementing digital holograms to create and measure complex-plane optical fields
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Atomic vapor as a source of tunable, non-Gaussian self-reconstructing optical modes
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Nonlocalized Generation of Correlated Photon Pairs in Degenerate Down-Conversion
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Perspectives on the orbital angular momentum of light
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Self-citationObservation of Bessel-beam self-trapping
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Underwater entanglement propagation of auto-focusing Airy beams
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Using speckles to recover an image after its transmission through obstacles
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Multilevel quadrature amplitude multiplexing using coherently coupled orbital angular momentum modes
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Simulating quantum state engineering in spontaneous parametric down-conversion using classical light
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Self-citationHigh efficiency, low cost holographic optical elements for ultracold atom trapping
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Diffraction-induced entanglement loss of orbital-angular-momentum states
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Self-healing of orbital angular momentum in bright twin light beams generated via four-wave mixing
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Double and Square Bessel–Gaussian Beams
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Method to define non-diffracting optical beams mimicking the shape of simple plane curves
Amaral, J. P., Rocha, J. C. A., Fonseca, E. J. S., & Jesus‐Silva, A. J. (2019) · Applied Optics · doi:10.1364/ao.58.003659 · Cited by 10 · see citing works
Realising high-dimensional quantum entanglement with orbital angular momentu
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Self-citationAll-optical mode conversion via spatially multimode four-wave mixing
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High-efficiency generation of long-distance, tunable, high-order nondiffracting beams
Yun, X., Liang, Y., He, M., Guo, L., Zhang, X., Wang, S., Zhao, T., Kuang, S., & Lei, M. (2024) · Photonics Research · doi:10.1364/prj.531966 · Cited by 9 · see citing works
Elongating the focal depth of a Bessel beam by manipulating polarization
Zhang, J., Li, W., Zhang, W., Liu, R., & Liu, Z. (2025) · Optics Letters · doi:10.1364/ol.550658 · Cited by 9 · see citing works
Shadows of structured beams in lenslike media
Jia, J., Lin, H., Fu, S., Gómez-Correa, J. E., Li, Z., Chen, Z., & Chávez-Cerda, S. (2023) · Optics Express · doi:10.1364/oe.507030 · Cited by 9 · see citing works
- Authors
- McLaren, M., Mhlanga, T., Padgett, M. J., Roux, F. S., & Forbes, A.
- Affiliations
- Council for Scientific and Industrial Research (ZA)
- Scottish Universities Physics Alliance (GB)
- Corresponding author
- Forbes, Andrew
- Venue
- Nature Communications
- Published
- 2014-02-06
- Volume
- 5
- Issue
- 1
- Pages
- 3248-3248
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2067867810
- Cited by
- 174
- References
- 39
- Citations by year
- 2026: 9 · 2025: 18 · 2024: 17 · 2023: 16 · 2022: 14 · 2021: 13 · 2020: 15 · 2019: 12 · 2018: 9 · 2017: 14 · 2016: 10 · 2015: 15 · 2014: 12
- FWCI
- 16.93
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Nature Communications (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam) (submittedVersion)
- SUNScholar (Stellenbosch University) (submittedVersion)
- 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
- quantum entanglement, orbital angular momentum, Bessel beams, Laguerre-Gaussian beams, parametric down-conversion, photon pairs, optical loss, obstructions, measurement bases, free-space quantum communication, spatial entanglement
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