The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Nonseparable States of Light: From Quantum to Classical
Abstract
Controlling the various degrees‐of‐freedom (DoFs) of structured light at both quantum and classical levels is of paramount importance in optics. It is a conventional paradigm to treat diverse DoFs separately in light shaping. While, the more general case of nonseparable states of light, in which two or more DoFs are coupled in a nonseparable way, has become topical recently. Importantly, classical nonseparable states of light are mathematically analogue to quantum entangled states. Such similarity has hatched attractive studies in structured light, for example, the spin‐orbit coupling in vector beams. However, nonseparable classical states of light are still treated in a fragmented fashion, while its forms are not limited by vector beams and its potential is certainly not fully exploited. For instance, exotic space‐time coupled pulses open nontrivial light shaping toward ultrafast time scales, and ray‐wave geometric beams provide new dimensions in optical manipulations. Here, a bird's eye view on the rapidly growing but incoherent body of work on general nonseparable states involving various DoFs of light is provided and a unified framework for their classification and tailoring, providing a perspective on new opportunities for both fundamental science and applications, is introduced.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Using classical light, results on depolarization and decoherence are directly transferable to quantum skyrmions due to the close mathematical analogy between hybrid entangled biphoton states and classical vector beams.
“Using classical light, we can easily probe the effects of depolarization and decoherence, with the results being directly transferable to quantum skyrmions due to the close mathematical analogy between hybrid entangled biphoton states and classical vector beams (60, 69, 70).”
From Topological robustness of optical skyrmions through a real-world free-space link (2026) · cites this paper as [60]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651
Multiphoton entanglement and interferometry
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., & Żukowski, M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.777 · Cited by 1,410
Higher-Order Poincaré Sphere, Stokes Parameters, and the Angular Momentum of Light
Milione, G., Sztul, H. I., Nolan, D. A., & Alfano, R. R. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.053601 · Cited by 930
Optical skyrmion lattice in evanescent electromagnetic fields
Tsesses, S., Ostrovsky, E., Cohen, K., Gjonaj, B., Lindner, N. H., & Bartal, G. (2018) · Science · doi:10.1126/science.aau0227 · Cited by 514
Characterizing quantum channels with non-separable states of classical light
Ndagano, B., Perez-Garcia, B., Roux, F. S., McLaren, M., Rosales-Guzman, C., Zhang, Y., Mouane, O., Hernandez-Aranda, R. I., Konrad, T., & Forbes, A. (2017) · Nature Physics · doi:10.1038/nphys4003 · Cited by 325
Creation and Detection of Vector Vortex Modes for Classical and Quantum Communication
Ndagano, B., Nape, I., Cox, M. A., Rosales-Guzman, C., & Forbes, A. (2018) · Journal of Lightwave Technology · doi:10.1109/jlt.2017.2766760 · Cited by 312
Generation of Optical Skyrmions with Tunable Topological Textures
Shen, Y., Martínez, E. C., & Rosales-Guzmán, C. (2022) · ACS Photonics · doi:10.1021/acsphotonics.1c01703 · Cited by 278
Self-citationGreenberger-Horne-Zeilinger-state analyzer
Pan, J.-W., & Zeilinger, A. (1998) · Physical Review A · doi:10.1103/physreva.57.2208 · Cited by 213
Quantum walks and wavepacket dynamics on a lattice with twisted photons
Cardano, F., Massa, F., Qassim, H., Karimi, E., Slussarenko, S., Paparo, D., de Lisio, C., Sciarrino, F., Santamato, E., Boyd, R. W., et al. (2015) · Science Advances · doi:10.1126/sciadv.1500087 · Cited by 207
Observation of Laughlin states made of light
Clark, L. W., Schine, N., Baum, C., Jia, N., & Simon, J. (2020) · Nature · doi:10.1038/s41586-020-2318-5 · Cited by 203 · cited 1×
“Besides the quantum states selectively discussed above, there are still a number of states available to be explored for generating quantum-analogue structured light, such as the W state [154] and Laughlin state [155], which all hold unique properties to be applied in classical light.”
Background
Flagged first, then by citations
Research works printed but not linked: 191
- 10.1016/j.pquantelec.2017.07.002 · DOI
- Lakshminarayanan V., 2018, Mathematical Optics: Classical, Quantum, and Computational Methods
- 10.1088/1361-6633/ab85b9 · DOI
- 10.1007/s11229-016-1201-2 · DOI
- 10.1038/nature07121 · DOI
- 10.1038/nature15759 · DOI · Paper page
- 10.1126/science.aan3211 · DOI
- 10.1103/RevModPhys.81.865 · DOI · Paper page
- 10.1103/PhysRevLett.120.260502 · DOI
- 10.1103/PhysRevLett.104.023901 · DOI
- 10.1080/00107514.2015.1080949 · DOI
- 10.1088/0031-8949/91/6/063003 · DOI
- 10.1364/OPTICA.5.000942 · DOI
- 10.1166/rits.2014.1024 · DOI
- 10.1023/A:1018703709245 · DOI
- 10.1116/1.5112027 · DOI · Paper page
- 10.1126/science.aad7174 · DOI
- 10.1088/1367-2630/17/4/043024 · DOI
- 10.1016/bs.po.2018.11.001 · DOI
- 10.1103/PhysRevA.90.053842 · DOI
- 10.1103/PhysRevLett.99.160401 · DOI
- 10.1103/PhysRevA.82.033833 · DOI
- 10.1364/OPTICA.2.000611 · DOI
- 10.1080/00107514.2019.1580433 · DOI
- 10.1007/s10701-020-00319-7 · DOI
- 10.1038/s41598-017-07318-1 · DOI · Paper page
- 10.1103/PhysRevA.79.030301 · DOI · Paper page
- 10.1117/1.AP.1.4.046005 · DOI
- 10.1038/s41566-021-00780-4 · DOI
- 10.1088/2040-8986/aaeb7d · DOI
- 10.1002/9780470168981 · DOI
- 10.1364/OPTICA.424960 · DOI
- 10.1364/AOP.11.000067 · DOI
- Dragoman D., 2013, Quantum‐Classical Analogies
- 10.1126/science.aaa9519 · DOI · Paper page
- 10.1038/s41377-019-0194-2 · DOI · Paper page
- 10.1103/PhysRevA.11.1365 · DOI
- 10.1103/PhysRevA.48.656 · DOI
- 10.1364/JOSA.71.000334 · DOI
- Gerry C., 2005, Introductory Quantum Optics
- 10.1364/OSAC.1.000744 · DOI
- 10.1103/PhysRevA.102.031501 · DOI
- 10.1088/2040-8986/ac3676 · DOI
- 10.1103/PhysRevA.96.043851 · DOI
- 10.1007/s11082-017-1310-2 · DOI
- 10.1364/JOSAB.24.000404 · DOI
- 10.1007/s00340-018-6954-5 · DOI
- 10.1038/s41566-017-0031-1 · DOI
- 10.1038/s41563-019-0304-9 · DOI
- 10.1088/1367-2630/15/5/053007 · DOI
- 10.1103/PhysRevA.91.023801 · DOI
- 10.1126/science.aao5392 · DOI
- 10.1364/OL.29.000144 · DOI
- 10.1364/JOSAA.36.000578 · DOI
- 10.1364/JOSAA.22.000289 · DOI
- 10.1364/OL.29.000044 · DOI
- 10.1063/5.0011142 · DOI
- 10.1088/2040-8986/abd9e0 · DOI
- 10.1364/PRJ.416342 · DOI
- 10.1515/nanoph-2021-0255 · DOI
- 10.1364/AO.57.009543 · DOI
- 10.1038/lsa.2018.9 · DOI
- 10.1103/PhysRevResearch.3.013236 · DOI
- 10.1103/PhysRevLett.96.163905 · DOI · Paper page
- 10.1364/OE.19.004085 · DOI · Paper page
- 10.1088/2040-8978/13/6/064001 · DOI · Paper page
- 10.1117/1.JNP.7.078598 · DOI
- 10.1103/PhysRevLett.118.113901 · DOI
- 10.1002/adom.201801415 · DOI
- 10.1002/lpor.201900140 · DOI
- 10.1038/nphoton.2016.37 · DOI
- 10.1038/s41566-019-0538-8 · DOI
- 10.1038/s41467-019-12127-3 · DOI
- 10.1038/s41598-020-66799-9 · DOI
- 10.1364/OPTICA.382994 · DOI
- A.Zdagkas Y.Shen C.McDonnell J.Deng G.Li T.Ellenbogen N.Papasimakis N.Zheludev arXiv:2102.03636 2021. Accepted Nature Photonics (2022). · arXiv
- Schnars U., 2015, Digital Holography and Wavefront Sensing, 39, 10.1007/978-3-662-44693-5_3 · DOI
- 10.1364/AOP.8.000200 · DOI · Paper page
- 10.1117/3.2281295 · DOI
- 10.1088/1367-2630/9/3/078 · DOI
- 10.1088/2040-8986/aadef3 · DOI
- 10.1364/OE.20.000364 · DOI
- 10.1364/OE.25.025697 · DOI
- 10.1002/andp.201500111 · DOI
- 10.1364/OE.24.029269 · DOI
- 10.1117/1.OE.59.4.041202 · DOI
- 10.1063/1.4901574 · DOI
- 10.1103/PhysRevA.100.063842 · DOI
- 10.1103/PhysRevA.99.052301 · DOI
- 10.1038/lsa.2017.146 · DOI
- 10.1103/PhysRevA.39.2005 · DOI
- 10.1103/PhysRevE.59.4630 · DOI
- 10.1103/PhysRevE.54.889 · DOI · Paper page
- 10.1364/JOSAA.16.002500 · DOI
- 10.1103/PhysRevA.102.063512 · DOI · Paper page
- 10.1038/nphoton.2012.312 · DOI
- 10.1364/OPN.30.5.000034 · DOI
- 10.1364/OL.44.002645 · DOI · Paper page
- 10.1038/s41566-020-00750-2 · DOI
- 10.1038/s41467-021-26253-4 · DOI
- Perelomov A., 2012, Generalized Coherent States and Their Applications
- 10.1364/JOSAB.6.002447 · DOI
- 10.1103/PhysRevA.61.032107 · DOI
- 10.1103/PhysRevA.69.053807 · DOI
- 10.1364/OE.26.025545 · DOI
- 10.1364/OE.400587 · DOI
- 10.1103/PhysRevA.85.043833 · DOI
- 10.1103/PhysRevE.66.046215 · DOI
- 10.1103/PhysRevE.68.066207 · DOI
- 10.1126/science.aas9437 · DOI
- 10.1103/RevModPhys.87.61 · DOI
- 10.1038/s42254-018-0010-6 · DOI
- 10.1103/PhysRevA.88.013827 · DOI
- 10.1103/PhysRevA.102.063533 · DOI
- 10.1103/PhysRevA.103.053520 · DOI
- 10.1088/2040-8986/ac160b · DOI
- 10.1364/OL.397331 · DOI
- 10.1364/OL.43.001439 · DOI
- 10.1038/s41567-019-0487-7 · DOI · Paper page
- 10.1038/s41467-021-26037-w · DOI
- 10.1364/OL.431122 · DOI · Paper page
- 10.1038/s41467-021-26171-5 · DOI · Paper page
- 10.1038/s42005-019-0156-2 · DOI
- 10.3389/fphy.2021.690721 · DOI
- Ecker S., 2019, Phys. Rev. X, 9, 041042
- 10.1364/OE.414674 · DOI
- 10.1088/1674-1056/28/4/044204 · DOI
- 10.1038/s41377-021-00493-x · DOI
- 10.1063/1.4999368 · DOI
- 10.1515/nanoph-2019-0101 · DOI
- 10.1364/AOP.1.000001 · DOI
- 10.1088/2040-8986/ab161d · DOI
- 10.1103/PhysRevB.97.201409 · DOI
- 10.1038/nmat4563 · DOI
- 10.1364/OE.24.003150 · DOI
- 10.1364/OE.436161 · DOI
- 10.1038/s41377-021-00595-6 · DOI
- 10.1103/PhysRevLett.126.243601 · DOI
- 10.1515/nanoph-2021-0427 · DOI
- 10.1038/s42005-020-00419-w · DOI
- 10.1063/5.0056066 · DOI
- 10.1103/PhysRevA.80.042327 · DOI
- 10.1103/PhysRevResearch.2.043350 · DOI
- 10.1364/OL.41.005797 · DOI
- 10.1103/PhysRevA.63.062302 · DOI
- 10.1364/JOSAB.33.001649 · DOI
- 10.1103/PhysRevA.102.062424 · DOI
- 10.1103/PhysRevA.85.042302 · DOI
- 10.1142/9789812563071_0035 · DOI
- 10.1103/PhysRevA.92.023833 · DOI
- 10.1364/OL.41.003407 · DOI · Paper page
- 10.1063/1.5142163 · DOI
- 10.1103/PhysRevA.100.063842 · DOI
- 10.1103/PhysRevLett.127.040402 · DOI
- 10.1103/PhysRevA.92.023827 · DOI
- 10.1088/0953-4075/49/5/055501 · DOI
- 10.1364/OPTICA.2.000864 · DOI
- 10.1364/OL.40.004843 · DOI
- 10.1364/OPTICA.4.001006 · DOI · Paper page
- 10.1371/journal.pone.0214891 · DOI
- 10.1364/OL.44.003070 · DOI
- 10.1364/OE.27.031087 · DOI
- 10.1088/1367-2630/16/7/073019 · DOI
- 10.1364/PRJ.4.000B14 · DOI
- 10.1364/JOSAB.399168 · DOI
- 10.1364/OE.17.017829 · DOI
- 10.1364/OL.34.002261 · DOI
- 10.1364/OL.37.001553 · DOI
- 10.1364/OE.24.018105 · DOI
- 10.1364/OL.40.001980 · DOI
- 10.1364/OE.25.029342 · DOI
- 10.1364/OE.23.017330 · DOI
- 10.1038/lsa.2017.148 · DOI
- 10.1038/lsa.2018.2 · DOI
- 10.1364/OL.40.004887 · DOI
- 10.1364/OE.24.015143 · DOI
- 10.48550/arXiv.2110.08815 · DOI
- 10.1038/s41567-020-0970-1 · DOI
- 10.1007/s11128-012-0432-5 · DOI · Paper page
- 10.1126/science.1260364 · DOI
- 10.1103/PhysRevLett.110.263602 · DOI · Paper page
- 10.1364/OPTICA.365028 · DOI · Paper page
- 10.1364/JOSAB.30.003210 · DOI
- 10.1103/PhysRevA.77.032345 · DOI
- 10.1364/JOSAB.399290 · DOI
- 10.1103/PhysRevLett.124.160401 · DOI
- 10.1515/nanoph-2021-0489 · DOI
- 10.1038/nature13586 · DOI
- 10.1038/nature09662 · DOI
- 10.1126/science.aaw9486 · DOI
- Goldstein D. H., 2011, Polarized Light
Cited by
Sorted by citations
Optical skyrmions and other topological quasiparticles of light
Shen, Y., Zhang, Q., Shi, P., Du, L., Yuan, X., & Zayats, A. V. (2024) · Nature Photonics · doi:10.1038/s41566-023-01325-7 · Cited by 469
Self-citationTopological robustness of optical skyrmions through a real-world free-space link
Peters, C., Hakobyan, V., Drozdov, A., Brasselet, E., Cox, M., & Forbes, A. (2026) · Science Advances · doi:10.1126/sciadv.aee2671 · Cited by 11
Metadata
- Authors
- Shen, Y., & Rosales‐Guzmán, C.
- Affiliations
- Optoelectronics Research Centre University of Southampton Southampton SO17 1BJ UK
- Centro de Investigaciones en Óptica A. C., Loma del Bosque 115, Col. Lomas del Campestre León Guanajuato 37150 México
- ORCID
- Shen, Yijie
- Venue
- Laser & Photonics Reviews
- Publisher
- Wiley
- Published
- 2022-04-27
- Volume
- 16
- Issue
- 7
- ISSN
- 1863-8880
- 1863-8899
- Cited by
- 160
- References
- 11
- Language
- en
- Funders
- National Natural Science Foundation of China (61975047, 11934013)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review