Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 366

The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.

Multi-photon entanglement in high dimensions

Open access
Malik, Mehul, Erhard, Manuel, Huber, Marcus, Krenn, Mario, Fickler, Robert, Zeilinger, Anton·2016·Nature Photonics

Abstract

A three-photon entangled state with 3 × 3 × 2 dimensions of its orbital angular momentum is created by using two independent entangled photon pairs from two nonlinear crystals, enabling the development of a new layered quantum communication protocol. Forming the backbone of quantum technologies today, entanglement1,2 has been demonstrated in physical systems as diverse as photons3, ions4 and superconducting circuits5. Although steadily pushing the boundary of the number of particles entangled, these experiments have remained in a two-dimensional space for each particle. Here we show the experimental generation of the first multi-photon entangled state where both the number of particles and dimensions are greater than two. Two photons in our state reside in a three-dimensional space, whereas the third lives in two dimensions. This asymmetric entanglement structure6 only appears in multiparticle entangled states with d > 26. Our method relies on combining two pairs of photons, high-dimensionally entangled in their orbital angular momentum7. In addition, we show how this state enables a new type of ‘layered’ quantum communication protocol. Entangled states such as these serve as a manifestation of the complex dance of correlations that can exist within quantum mechanics.

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/nphoton.2016.12

Cites

12 of 12 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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

Show all 12 references

Research works printed but not linked: 30

  1. Schrödinger, E. Die gegenwärtige situation in der quantenmechanik. Naturwissenschaften 23, 823–828 (1935). · DOI · Paper page
  2. Trimmer, J. D. The present situation in quantum mechanics: a translation of Schrödinger's “Cat Paradox” paper. Proc. Am. Phil. Soc. 124, 323–338 (1980).
  3. Yao, X.-C. et al. Observation of eight-photon entanglement. Nature Photon. 6, 225–228 (2012). · DOI · Paper page
  4. Lanyon, B. P. et al. Experimental violation of multipartite bell inequalities with trapped ions. Phys. Rev. Lett. 112, 100403 (2014). · DOI
  5. Kelly, J. et al. State preservation by repetitive error detection in a superconducting quantum circuit. Nature 519, 66–69 (2015). · DOI · Paper page
  6. Huber, M. & de Vicente, J. Structure of multidimensional entanglement in multipartite systems. Phys. Rev. Lett. 110, 030501 (2013). · DOI · Paper page
  7. Zeilinger, A., Horne, M., Weinfurter, H. & Żukowski, M. Three-particle entanglements from two entangled pairs. Phys. Rev. Lett. 78, 3031–3034 (1997). · DOI · Paper page
  8. Klyachko, A. A., Can, M. A., Binicioğlu, S. & Shumovsky, A. S. Simple test for hidden variables in spin-1 systems. Phys. Rev. Lett. 101, 020403 (2008). · DOI · Paper page
  9. Lapkiewicz, R. et al. Experimental non-classicality of an indivisible quantum system. Nature 474, 490–493 (2011). · DOI · Paper page
  10. Cerf, N., Bourennane, M., Karlsson, A. & Gisin, N. Security of quantum key distribution using d-level systems. Phys. Rev. Lett. 88, 127902 (2002). · DOI · Paper page
  11. Mirhosseini, M. et al. High-dimensional quantum cryptography with twisted light. New J. Phys. 17, 033033 (2015). · DOI · Paper page
  12. Malik, M. & Boyd, R. W. Quantum imaging technologies. Riv. Nuovo Cimento 37, 273–332 (2014).
  13. Molina-Terriza, G., Torres, J. P. & Torner, L. Twisted photons. Nature Phys. 3, 305–310 (2007). · DOI · Paper page
  14. Dada, A. C., Leach, J., Buller, G. S., Padgett, M. J. & Andersson, E. Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities. Nature Phys. 7, 677–680 (2011). · DOI · Paper page
  15. Krenn, M. et al. Generation and confirmation of a (100 × 100)-dimensional entangled quantum system. Proc. Natl Acad. Sci. USA 111, 6243–6247 (2014). · DOI · Paper page
  16. Wang, X.-L. et al. Quantum teleportation of multiple degrees of freedom of a single photon. Nature 518, 516–519 (2015). · DOI · Paper page
  17. Huber, M., Perarnau-Llobet, M. & de Vicente, J. I. Entropy vector formalism and the structure of multidimensional entanglement in multipartite systems. Phys. Rev. A 88, 042328 (2013). · DOI
  18. Cadney, J., Huber, M., Linden, N. & Winter, A. Inequalities for the ranks of multipartite quantum states. Linear Algebra Appl. 452, 153–171 (2014). · DOI
  19. Leach, J., Padgett, M. J., Barnett, S. M. & Franke-Arnold, S. Measuring the orbital angular momentum of a single photon. Phys. Rev. Lett. 88, 257901 (2002). · DOI · Paper page
  20. Kaltenbaek, R. Interference of Photons from Independent Sources PhD thesis, Univ. Vienna (2009).
  21. Fickler, R. et al. Interface between path and orbital angular momentum entanglement for high-dimensional photonic quantum information. Nature Commun. 5, 4502 (2014). · DOI · Paper page
  22. Hillery, M., Bužek, V. & Berthiaume, A. Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999). · DOI · Paper page
  23. Mirhosseini, M., Malik, M., Shi, Z. & Boyd, R. W. Efficient separation of the orbital angular momentum eigenstates of light. Nature Commun. 4, 2781 (2013). · DOI · Paper page
  24. Krenn, M., Malik, M., Fickler, R., Lapkiewicz, R. & Zeilinger, A. Automated search for new quantum experiments. Phys. Rev. Lett. Preprint at http://arxiv.org/abs/1509.02749 (2015) · DOI · Paper page
  25. Vieira, A. R., Hor-Myell, M. & Khoury, A. Z. Spin-orbit mode selection with a modified Sagnac interferometer. J. Opt. Soc. Am. B 30, 1623–1626 (2013). · DOI
  26. Scheidl, T. et al. Crossed-crystal scheme for femtosecond-pulsed entangled photon generation in periodically poled potassium titanyl phosphate. Phys. Rev. A 89, 042324 (2014). · DOI
  27. Lavery, M. et al. Robust interferometer for the routing of light beams carrying orbital angular momentum. New J. Phys. 13, 093014 (2011). · DOI
  28. Mair, A., Vaziri, A., Weihs, G. & Zeilinger, A. Entanglement of the orbital angular momentum states of photons. Nature 412, 313–316 (2001). · DOI · Paper page
  29. Tonolini, F., Chan, S., Agnew, M., Lindsay, A. & Leach, J. Reconstructing high-dimensional two-photon entangled states via compressive sensing. Sci. Rep. 4, 6542 (2014). · DOI
  30. Händchen, V. et al. Observation of one-way Einstein–Podolsky-Rosen steering. Nature Photon. 6, 596–599 (2012). · DOI · Paper page

Cited by

See all 366

Metadata

Authors
Malik, M., Erhard, M., Huber, M., Krenn, M., Fickler, R., & Zeilinger, A.
Venue
Nature Photonics
Published
2016-02-29
Volume
10
Issue
4
Pages
248-252
ISSN
  • 1749-4885 (ISSN-L)
  • 1749-4893
OpenAlex
W2196764475
Cited by
366
References
12
FWCI
31.26
Type
journal article
Language
en
Open access
green
Licence
www.springer.com/tdm (tdm)

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

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Multi-photon entanglement in high dimensions. https://app.cochat.ai/papers/10.1038/nphoton.2016.12
The paper
Malik, M., Erhard, M., Huber, M., Krenn, M., Fickler, R., & Zeilinger, A. (2016). Multi-photon entanglement in high dimensions. Nature Photonics. https://doi.org/10.1038/nphoton.2016.12

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.