Optimizing type-I polarization-entangled photons

Optics Express

Volumn 17, Issue 21, 2009, Pages 18920-18933

  Rangarajan, Radhika ^a   Goggin, Michael ^b   Kwiat, Paul ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b TRUMAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL PUMPING; OPTIMAL SYSTEMS; PHOTONS; POLARIZATION; PULSED LASERS; PUMPING (LASER); QUANTUM OPTICS; SEMICONDUCTOR LASERS;

COMPENSATION TECHNIQUES; DIODE-LASER-PUMPED; NONLINEAR CRYSTALS; OPTICAL QUANTUM-INFORMATION PROCESSING; OPTIMAL COMPENSATIONS; POLARIZATION-ENTANGLED PHOTONS; POLARIZATION-ENTANGLEMENT; TIMING INFORMATION;

QUANTUM ENTANGLEMENT;

EID: 70350315108     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.018920     Document Type: Article

References (41)

1. D. C. Burnham, and D. L. Weinberg, "Observation of Simultaneity in Parametric Production of Optical Photon Pairs," Phys. Rev. Lett. 25(2), 84-87 (1970).
2. J. Fan, M. D. Eisaman, and A. Migdall, "Quantum state tomography of a fiber-based source of polarizationentangled photon pairs," Opt. Express 15(26), 18339-18344 (2007).
3. K. F. Lee, J. Chen, C. Liang, X. Li, P. L. Voss, and P. Kumar, "Generation of high-purity telecom-band entangled photon pairs in dispersion-shifted fiber," Opt. Lett. 31(12), 1905-1907 (2006).
4. Downconversion can be realized in two ways: in type-I (type-II) phasematching an extraordinary polarized pump downconverts into two ordinary polarized photons (one ordinary polarized and one extraordinary polarized photon).
5. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels," Phys. Rev. Lett. 70(13), 1895-1899 (1993).
6. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation," Nature 390(6660), 575-579 (1997).
7. C.-Y. Lu, X.-Q. Zhou, O. Guhne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, "Experimental entanglement of six photons in graph states," Nat. Phys. 3(2), 91-95 (2007).
8. P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, "Experimental one-way quantum computing," Nature 434(7030), 169-176 (2005).
9. D. Branning, W. P. Grice, R. Erdmann, and I. A. Walmsley, "Engineering the Indistinguishability and Entanglement of Two Photons," Phys. Rev. Lett. 83(5), 955-958 (1999).
10. A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, "Shaping the waveform of entangled photons," Phys. Rev. Lett. 99(24), 243601-243604 (2007).
11. L. E. Vincent, A. B. U'Ren, R. Rangarajan, C. I. Osorio, J. P. Torres, L. Zhang, and I. A. Walmsley, "Design of bright, fiber-coupled and fully factorable photon pair sources," to be published.
12. D. Dehlinger, and M. W. Mitchell, "Entangled photons, nonlocality, and Bell inequalities in the undergraduate laboratory," Am. J. Phys. 70(9), 903-910 (2002).
13. B. R. Gadway, E. J. Galvez, and F. D. Zela, "Bell-inequality violations with single photons entangled in momentum and polarization," J. Phys. B 42(1), 015503 (2009).
14. M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, "Generation and characterization of Werner states and maximally entangled mixed states by a universal source of entanglement," Phys. Rev. Lett. 92(17), 177901 (2004).
15. J. F. Hodelin, G. Khoury, and D. Bouwmeester, "Optimal generation of pulsed entangled photon pairs," Phys. Rev. A 74(1), 013802-013808 (2006).
16. Y.-H. Kim, S. P. Kulik, M. V. Chekhova, W. P. Grice, and Y. Shih, "Experimental entanglement concentration and universal Bell-state synthesizer," Phys. Rev. A 67(1), 010301 (2003).
17. O. Kuzucu, and F. N. C. Wong, "Pulsed Sagnac source of narrow-band polarization-entangled photons," Phys. Rev. A 77(3), 032314-032319 (2008).
18. B.-S. Shi, and A. Tomita, "Generation of a pulsed polarization entangled photon pair using a Sagnac interferometer," Phys. Rev. A 69(1), 013803 (2004).
19. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New high-intensity source of polarization-entangled photon pairs," Phys. Rev. Lett. 75(24), 4337-4341 (1995).
20. P. G. Kwiat, E. Waks, A. G. White, I. Appelbaum, and P. H. Eberhard, "Ultrabright source of polarizationentangled photons," Phys. Rev. A 60(2), R773-R776 (1999).
21. W. P. Grice, A. B. U'Ren, and I. A. Walmsley, "Eliminating frequency and space-time correlations in multiphoton states," Phys. Rev. A 64(6), 063815 (2001).
22. A.. U. Ren, K. Banaszek, and I. Walmsley, "Photon engineering for quantum information processing," Journal of Quantum Information and Computation 3, 480 (2003).
23. Y. Nambu, K. Usami, Y. Tsuda, K. Matsumoto, and K. Nakamura, "Generation of polarization-entangled photon pairs in a cascade of two type-I crystals pumped by femtosecond pulses," Phys. Rev. A 66(3), 033816 (2002).
24. G. M. Akselrod, J. B. Altepeter, E. R. Jeffrey, and P. G. Kwiat, "Phase-compensated ultra-bright source of entangled photons: erratum," Opt. Express 15(8), 5260-5261 (2007).
25. S. Cialdi, F. Castelli, I. Boscolo, and M. G. Paris, "Generation of entangled photon pairs using small-coherencetime continuous wave pump lasers," Appl. Opt. 47(11), 1832-1836 (2008).
26. P. Trojek, and H. Weinfurter, "Collinear source of polarization-entangled photon pairs at nondegenerate wavelengths," Appl. Phys. Lett. 92(21), 211103-211103 (2008).
27. Fidelity between a pure state |Εcap| and a mixed state ρ) is defined as C(|φρ) = (|ψhi;, ρ)= ψ| ρ| ψ) In this article we always consider only the polarization part of the total two-photon wavefunction.
28. -i) Pauli spin matrix. Tangle is then the square of the concurrence.
29. 4 parametric down-converter," Phys. Rev. A 69(1), 013807 (2004).
30. P. Becker, J. Liebertz, and L. Bohatý, "Top-seeded growth of bismuth triborate, BiB3O6," J. Cryst. Growth 203(1-2), 149-155 (1999).
31. M. Ghotbi, and M. Ebrahim-Zadeh, "Optical second harmonic generation properties of BiB3O6," Opt. Express 12(24), 6002-6019 (2004).
32. 6," J. Appl. Phys. 88(1), 240-244 (2000).
33. 6," Opt. Lett. 29(21), 2530-2532 (2004).
34. http://research.physics.illinois.edu/QI/photonics/phase-compensation.html
35. While it is possible to compensate for spatial decoherence using biréfringent compensators only in one downconversion arm, other effect, such as temporal, walkoff etc., need to be considered in this case.
36. A. G. White, D. F. V. James, P. H. Eberhard, and P. G. Kwiat, "Nonmaximally Entangled States: Production, Characterization, and Utilization," Phys. Rev. Lett. 83(16), 3103-3107 (1999).
37. A. Joobeur, B. E. A. Saleh, T. S. Larchuk, and M. C. Teich, "Coherence properties of entangled light beams generated by parametric down-conversion: Theory and experiment," Phys. Rev. A 53(6), 4360-4371 (1996).
38. For ease of discussion we use the language of uniaxial crystals: ordinary and extraordinary polarization. For biaxial crystals', these terms are no longer an accurate description of polarization states. However, the terms can be used to refer to orthogonal linear polarizations with different velocities, usually labeled fast and slow, in the biaxial crystal.
39. T. E. Keller, and M. H. Rubin, "Theory of two-photon entanglement for spontaneous parametric downconversion driven by a narrow pump pulse," Phys. Rev. A 56(2), 1534-1541 (1997).
40. Note that in this case spatial decoherence due to the temporal postcompensator must also be corrected in order to achieve complete joint spatial and spectral-temporal compensation.
41. N. Boeuf, D. Branning, I. Chaperot, E. Dauler, S. Guerin, G. Jaeger, A. Müller, and A. Migdall, "Calculating characteristics of noncollinear phase matching in uniaxial and biaxial crystals," Opt. Eng. 39(4), 1016-1024 (2000).