## Spin–orbit mode selection with a modified Sagnac interferometer |

JOSA B, Vol. 30, Issue 6, pp. 1623-1626 (2013)

http://dx.doi.org/10.1364/JOSAB.30.001623

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### Abstract

We report on a modified Sagnac interferometer used to sort spin–orbit modes of a paraxial beam. The interferometer works as a parity sorter and can be useful for quantum information protocols. The geometry used benefits from phase stability and allows for independent manipulation of the interfering beams.

© 2013 Optical Society of America

**OCIS Codes**

(270.5565) Quantum optics : Quantum communications

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Instrumentation, Measurement, and Metrology

**History**

Original Manuscript: February 1, 2013

Revised Manuscript: April 3, 2013

Manuscript Accepted: April 19, 2013

Published: May 22, 2013

**Citation**

A. R. Vieira, M. Hor-Meyll, and A. Z. Khoury, "Spin–orbit mode selection with a modified Sagnac interferometer," J. Opt. Soc. Am. B **30**, 1623-1626 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-6-1623

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### References

- P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79, 135–174 (2007). [CrossRef]
- M. J. Padgett and J. Courtial, “Poincaré-sphere equivalent for light beams containing orbital angular momentum,” Opt. Lett. 24, 430–432 (1999). [CrossRef]
- E. Abramochkin and V. Volostnikov, “Beam transformations and nontransformed beams,” Opt. Commun. 83, 123–135 (1991). [CrossRef]
- M. J. Padgett and L. Allen, “Light with a twist in its tail,” Contemp. Phys. 41, 275–285 (2000). [CrossRef]
- E. Nagali, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, “Quantum information transfer from spin to orbital angular momentum of photons,” Phys. Rev. Lett. 103, 013601 (2009). [CrossRef]
- L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, and F. Sciarrino, “Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications,” J. Opt. 13, 064001 (2011). [CrossRef]
- A. Picón, A. Benseny, J. Mompart, and G. F. Calvo, “Spin and orbital angular momentum propagation in anisotropic media: theory,” J. Opt. 13, 064019 (2011). [CrossRef]
- K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, “Angular momenta and spin-orbit interaction of nonparaxial light in free space,” Phys. Rev. A 82, 063825 (2010). [CrossRef]
- C. E. R. Souza, J. A. O. Huguenin, P. Milman, and A. Z. Khoury, “Topological phase for spin-orbit transformations on a laser beam,” Phys. Rev. Lett. 99, 160401 (2007). [CrossRef]
- C. E. R. Souza, C. V. S. Borges, A. Z. Khoury, J. A. O. Huguenin, L. Aolita, and S. P. Walborn, “Quantum key distribution without a shared reference frame,” Phys. Rev. A 77, 032345 (2008). [CrossRef]
- L. Chen and W. She, “Single-photon spin-orbit entanglement violating a Bell-like inequality,” J. Opt. Soc. Am. B 27, A7–A10 (2010). [CrossRef]
- C. V. S. Borges, M. Hor-Meyll, J. A. O. Huguenin, and A. Z. Khoury, “Bell-like inequality for the spin-orbit separability of a laser beam,” Phys. Rev. A 82, 033833 (2010). [CrossRef]
- M. Hor-Meyll, A. Auyuanet, C. V. S. Borges, A. Aragão, J. A. O. Huguenin, A. Z. Khoury, and L. Davidovich, “Environment-induced entanglement with a single photon,” Phys. Rev. A 80, 042327 (2009). [CrossRef]
- M. Franca Santos, P. Milman, A. Z. Khoury, and P. H. Souto Ribeiro, “Measurement of the degree of polarization entanglement through position interference,” Phys. Rev. A 64, 023804 (2001). [CrossRef]
- D. P. Caetano, P. H. Souto Ribeiro, J. T. C. Pardal, and A. Z. Khoury, “Quantum image control through polarization entanglement in parametric down-conversion,” Phys. Rev. A 68, 023805 (2003). [CrossRef]
- E. Karimi, J. Leach, S. Slussarenko, B. Piccirillo, L. Marrucci, L. Chen, W. She, S. Franke-Arnold, M. J. Padgett, and E. Santamato, “Spin-orbit hybrid entanglement of photons and quantum contextuality,” Phys. Rev. A 82, 022115 (2010). [CrossRef]
- L. Chen and W. She, “Teleportation of a controllable orbital angular momentum generator,” Phys. Rev. A 80, 063831 (2009). [CrossRef]
- J. T. Barreiro, T.-C. Wei, and P. G. Kwiat, “Remote preparation of single-photon hybrid entangled and vector-polarization states,” Phys. Rev. Lett. 105, 030407 (2010). [CrossRef]
- B. Coutinho dos Santos, K. Dechoum, and A. Z. Khoury, “Continuous-variable hyperentanglement in a parametric oscillator with orbital angular momentum,” Phys. Rev. Lett. 103, 230503 (2009). [CrossRef]
- A. Z. Khoury and P. Milman, “Quantum teleportation in the spin-orbit variables of photon pairs,” Phys. Rev. A 83, 060301 (2011). [CrossRef]
- M. Fiorentino and F. N. C. Wong, “Deterministic controlled-NOT gate for single-photon two-qubit quantum logic,” Phys. Rev. Lett. 93, 070502 (2004). [CrossRef]
- A. N. de Oliveira, S. P. Walborn, and C. H. Monken, “Implementing the Deutsch algorithm with polarization and transverse spatial modes,” J. Opt. B 7, 288–292 (2005). [CrossRef]
- C. E. R. Souza and A. Z. Khoury, “A Michelson controlled-not gate with a single-lens astigmatic mode converter,” Opt. Express 18, 9207–9212 (2010). [CrossRef]
- S. Slussarenko, V. DAmbrosio, B. Piccirillo, L. Marrucci, and E. Santamato, “The polarizing Sagnac interferometer: a tool for light orbital angular momentum sorting and spin-orbit photon processing,” Opt. Express 18, 27205–27216 (2010). [CrossRef]
- H. Sasada and M. Okamoto, “Transverse-mode beam splitter of a light beam and its application to quantum cryptography,” Phys. Rev. A 68, 012323 (2003). [CrossRef]
- B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 2007).
- W. K. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett. 80, 2245–2248 (1998). [CrossRef]
- M. J. Padgett and J. P. Lesso, “Dove prisms and polarized light,” J. Mod. Opt. 46, 175–179 (1999). [CrossRef]
- I. Moreno, G. Paez, and M. Strojnik, “Polarization transforming properties of Dove prisms,” Opt. Commun. 220, 257–268 (2003). [CrossRef]
- N. K. Langford, R. B. Dalton, M. D. Harvey, J. L. OBrien, G. J. Pryde, A. Gilchrist, S. D. Bartlett, and A. G. White, “Measuring entangled qutrits and their use for quantum bit commitment,” Phys. Rev. Lett. 93, 053601 (2004). [CrossRef]
- N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17, 221–223 (1992). [CrossRef]
- J. A. O. Huguenin, B. Coutinho dos Santos, P. A. M. dos Santos, and A. Z. Khoury, “Topological defects in moiré fringes with spiral zone plates,” J. Opt. Soc. Am. A 20, 1883–1889 (2003). [CrossRef]
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).

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