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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 892–901

Amplification of polarization NOON states

Chiara Vitelli, Nicolò Spagnolo, Fabio Sciarrino, and Francesco De Martini  »View Author Affiliations

JOSA B, Vol. 26, Issue 5, pp. 892-901 (2009)

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We analyze the quantum states obtained by optical parametric amplification of polarization NOON states. First we study, theoretically and experimentally, the amplification of a two-photon state by a collinear quantum injected optical parametric amplifier (QIOPA). We compare the stimulated emission regime with the spontaneous one, studied by Sciarrino et al. [Phys. Rev. A 77, 012324 (2008)] . As a second step, we show that the collinear amplifier cannot be successfully used for amplifying N-photon states with N > 2 , and we propose to adopt a different scheme, based on a noncollinear QIOPA. We show that the state obtained by the latter amplification process preserves the λ N feature and exhibits a high resilience to losses. Furthermore, measurement of part of the output state can be adopted to increase the pattern visibility.

© 2009 Optical Society of America

OCIS Codes
(120.3940) Instrumentation, measurement, and metrology : Metrology
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(270.4180) Quantum optics : Multiphoton processes

ToC Category:
Quantum Optics

Original Manuscript: October 3, 2008
Revised Manuscript: January 23, 2009
Manuscript Accepted: February 20, 2009
Published: April 3, 2009

Chiara Vitelli, Nicolò Spagnolo, Fabio Sciarrino, and Francesco De Martini, "Amplification of polarization NOON states," J. Opt. Soc. Am. B 26, 892-901 (2009)

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  1. A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit,” Phys. Rev. Lett. 85, 2733-2736 (2000). [CrossRef] [PubMed]
  2. P. Kok, A. N. Boto, D. S. Abrams, C. P. William, S. L. Braunstein, and J. P. Dowling, “Quantum-interferometric optical lithography: towards arbitrary two-dimensional patterns,” Phys. Rev. A 63, 063407 (2001). [CrossRef]
  3. M. J. Holland, “Interferometric detection of optical phase shifts at the Heisenberg limit,” Phys. Rev. Lett. 71, 1355-1358 (1993). [CrossRef] [PubMed]
  4. V. Giovannetti, S. LLoyd, and L. Maccone, “Quantum metrology,” Phys. Rev. Lett. 96, 010401 (2006). [CrossRef] [PubMed]
  5. J. P. Dowling, “Quantum optical metrology--the lowdown on high-NOON states,” Contemp. Phys. 49, 125-143 (2008). [CrossRef]
  6. M. D'Angelo, M. V. Chekhova, and Y. Shih, “Two-photon diffraction and quantum lithography,” Phys. Rev. Lett. 87, 013602 (2001). [CrossRef] [PubMed]
  7. K. T. Kapale and J. P. Dowling, “A bootstrapping approach for generating maximally path-entangled photon states,” Phys. Rev. Lett. 99, 053602 (2007). [CrossRef] [PubMed]
  8. H. Cable and J. P. Dowling, “Efficient generation of large number-path entanglement using only linear optics and feed-forward,” Phys. Rev. Lett. 99, 163604 (2007). [CrossRef] [PubMed]
  9. A. E. B. Nielsen and K. Molmer, “Conditional generation of path-entangled optical NOON states,” Phys. Rev. A 75, 063803 (2007). [CrossRef]
  10. K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89, 213601 (2002). [CrossRef] [PubMed]
  11. M. W. Mitchell, J. S. Lundeen, and A. M. Steinberg, “Super-resolving phase measurements with a multiphoton entangled state,” Nature 429, 161-164 (2004). [CrossRef] [PubMed]
  12. P. Walther, J. W. Pan, M. Aspelmeyer, R. Ursin, S. Gasparoni, and A. Zeilinger, “De Broglie wavelength of a non-local four-photon state,” Nature 429, 158-161(2004). [CrossRef] [PubMed]
  13. T. Nagata, R. Okamoto, J. L. O'Brien, K. Sasaki, and S. Takeuchi, “Beating the standard quantum limit with four-entangled photons,” Science 316, 726-729 (2007). [CrossRef] [PubMed]
  14. H. S. Eisenberg, J. F. Hodelin, G. Khoury, and D. Bouwmeester, “Multiphoton path entanglement by nonlocal bunching,” Phys. Rev. Lett. 94, 090502 (2005). [CrossRef] [PubMed]
  15. H. F. Hofmann and T. Ono, “High-photon-number path entanglement in the interference of spontaneously down-converted photon pairs with coherent laser light,” Phys. Rev. A 76, 031806(R) (2007). [CrossRef]
  16. R. T. Glasser, H. Cable, J. P. Dowling, F. De Martini, F. Sciarrino, and C. Vitelli, “Entanglement-seeded, dual, optical parametric amplification: applications to quantum imaging and metrology,” Phys. Rev. A 78, 012339 (2008). [CrossRef]
  17. U. Dorner, R. Demkowicz-Dobrzanski, B. J. Smith, J. S. Lundeen, W. Wasilewski, K. Banaszek, and I. A. Walmsley, “Optimal quantum phase estimation,” Phys. Rev. Lett. 102, 040403 (2009). [CrossRef] [PubMed]
  18. F. Sciarrino, C. Vitelli, F. De Martini, R. Glasser, H. Cable, and J. P. Dowling, “Experimental sub-Rayleigh resolution by an unseeded high-gain optical parametric amplifier for quantum lithography,” Phys. Rev. A 77, 012324 (2008). [CrossRef]
  19. A. Kolkiran and G. S. Agarwal, “Quantum interferometry using coherent beam stimulated parametric down-conversion,” Opt. Express 16, 6479-6485 (2008). [CrossRef] [PubMed]
  20. F. De Martini, V. Buzek, F. Sciarrino, and C. Sias, “Experimental realization of the quantum universal NOT gate,” Nature 419, 815-818 (2002). [CrossRef] [PubMed]
  21. F. De Martini, F. Sciarrino, and C. Vitelli, “Entanglement test on a microscopic-macroscopic system,” Phys. Rev. Lett. 100, 253601 (2008). [CrossRef] [PubMed]
  22. S. J. Bentley and R. W. Boyd, “Nonlinear optical lithography with ultra-high sub-Rayleigh resolution,” Opt. Express 12, 5735-5740 (2004). [CrossRef] [PubMed]
  23. H. J. Chang, H. Shin, M. N. O'Sullivan-Hale, and R. W. Boyd, “Implementation of sub-Rayleigh lithography using an N-photon absorber,” J. Mod. Opt. 53, 2271-2277 (2006). [CrossRef]
  24. F. De Martini and F. Sciarrino, “Non-linear parametric processes in quantum information,” Prog. Quantum Electron. 29, 165-256 (2005). [CrossRef]
  25. G. S. Agarwal, K. W. Chan, R. W. Boyd, H. Cable, and J. P. Dowling, “Quantum states of light produced by a high-gain optical parametric amplifier for use in quantum lithography,” J. Opt. Soc. Am. B 24, 270-274 (2007). [CrossRef]
  26. E. M. Nagasako, S. J. Bentley, R. W. Boyd, and G. S. Agarwal, “Nonclassical two-photon interferometry and lithography with high-gain parametric amplifiers,” Phys. Rev. A 64, 043802 (2001). [CrossRef]
  27. H. S. Eisenberg, G. H. Khoury, G. A. Durkin, C. Simon, and D. Bouwmeester, “Quantum entanglement of a large number of photons,” Phys. Rev. Lett. 93, 193901 (2004). [CrossRef] [PubMed]
  28. M. Caminati, F. De Martini, R. Perris, F. Sciarrino, and V. Secondi, “Entanglement, EPR correlations, and mesoscopic quantum superposition by the high-gain quantum injected parametric amplification,” Phys. Rev. A 73, 032312 (2006). [CrossRef]
  29. S. Thanvanthri and M. H. Rubin, “Ghost interference with an optical parametric amplifier,” Phys. Rev. A 70, 063811 (2004). [CrossRef]
  30. N. Spagnolo, C. Vitelli, S. Giacomini, F. Sciarrino, and F. De Martini, “Polarization preserving ultra fast optical shutter for quantum information processing,” Opt. Express 16, 17609-17615 (2008). [CrossRef] [PubMed]

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