Quantum spiral bandwidth of entangled two-photon states
Open accessAbstract
We put forward the concept of quantum spiral bandwidth of the spatial mode function of the two-photon entangled state generated in spontaneous parametric down-conversion. We obtain the bandwidth using the eigenstates of the orbital angular momentum of the biphoton states, and reveal its dependence with the length of the down-converting crystals and waist of the pump beam. The connection between the quantum spiral bandwidth and the entropy of entanglement of the quantum state is discussed.
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By pumping two BBO crystals with optical axes aligned in perpendicular planes, a two-photon (2⊗2)⊗(3⊗3)⊗(2⊗2)-dimensional hyperentangled state was produced, approximately described by Eq. (41).
“By pumping two BBO crystals with optical axes aligned in perpendicular planes, a twophoton (2 ⊗ 2) ⊗ (3 ⊗ 3) ⊗ (2 ⊗ 2)-dimensional hyperentangled state was produced, approximately described by (|HH + |V V ) polarization ⊗ (|1, -1 LG + α|0, 0 LG + | -1, 1 LG ) spatial ⊗ (|EE + |LL ) energy-time .(41)”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Torres et al., 2003
Cites
<i>Quantum Computation and Quantum Information</i>
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895 · see citing works
Experimental quantum teleportation
Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., & Zeilinger, A. (1997) · Nature · doi:10.1038/37539 · Cited by 5,545 · see citing works
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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 · see citing works
“…spatial modes (Laguerre-Gauss) carrying −~, 0, and +~ orbital angular momentum, respectively (Allen et al., 2003); α describes the orbital-angular-momentum spatial mode balance which is due the properties of the source (Torres et al., 2003) and the selection via the mode-matching conditions.”
BackgroundTomography of the quantum state of photons entangled in high dimensions
Agnew, M., Leach, J., McLaren, M., Roux, F. S., & Boyd, R. W. (2011) · Physical Review A · doi:10.1103/physreva.84.062101 · Cited by 162 · see citing works
Qassim, H., Miatto, F. M., Torres, J. P., Padgett, M. J., Karimi, E., & Boyd, R. W. (2014) · Journal of the Optical Society of America B · doi:10.1364/josab.31.000a20 · Cited by 104 · see citing works
Self-citation
- Authors
- Torres, J. P., Alexandrescu, A., & Torner, L.
- Affiliations
- Institute of Photonic Sciences (ES)
- ORCID
- Torres, J. P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-11-19
- Volume
- 68
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2002328709
- Cited by
- 249
- References
- 2
- Citations by year
- 2026: 8 · 2025: 11 · 2024: 9 · 2023: 9 · 2022: 16 · 2021: 17 · 2020: 18 · 2019: 11 · 2018: 9 · 2017: 8 · 2016: 5 · 2015: 6 · 2014: 14 · 2013: 13 · 2012: 26
- FWCI
- 9.23
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Licence
- Locations
- Physical Review A (publishedVersion)
- RECERCAT (Consorci de Serveis Universitaris de Catalunya) (acceptedVersion, other-oa)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- UPCommons institutional repository (Universitat Politècnica de Catalunya) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- 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
- entangled photon pairs, biphoton states, orbital angular momentum, spontaneous parametric down-conversion, entanglement entropy
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