OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 19 — Oct. 1, 2010
  • pp: 3261–3263

All-optical generation of states for “Encoding a qubit in an oscillator”

H. M. Vasconcelos, L. Sanz, and S. Glancy  »View Author Affiliations


Optics Letters, Vol. 35, Issue 19, pp. 3261-3263 (2010)
http://dx.doi.org/10.1364/OL.35.003261


View Full Text Article

Enhanced HTML    Acrobat PDF (208 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Most quantum computation schemes propose encoding qubits in two-level systems. Others exploit the use of an infinite-dimensional system. In “Encoding a qubit in an oscillator” [ Phys. Rev. A 64, 012310 (2001)], Gottesman, Kitaev, and Preskill (GKP) combined these approaches when they proposed a fault-tolerant quantum computation scheme in which a qubit is encoded in the continuous position and momentum degrees of freedom of an oscillator. One advantage of this scheme is that it can be performed by use of relatively simple linear optical devices, squeezing, and homodyne detection. However, we lack a practical method to prepare the initial GKP states. Here we propose the generation of an approximate GKP state by using superpositions of optical coherent states (sometimes called “Schrödinger cat states”), squeezing, linear optical devices, and homodyne detection.

© 2010 Optical Society of America

OCIS Codes
(270.6570) Quantum optics : Squeezed states
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

History
Original Manuscript: June 2, 2010
Revised Manuscript: September 3, 2010
Manuscript Accepted: September 3, 2010
Published: September 24, 2010

Citation
H. M. Vasconcelos, L. Sanz, and S. Glancy, "All-optical generation of states for “Encoding a qubit in an oscillator”," Opt. Lett. 35, 3261-3263 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-19-3261


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. Gottesman, A. Kitaev, and J. Preskill, Phys. Rev. A 64, 012310 (2001). [CrossRef]
  2. E. Knill, R. Laflamme, and G. Milburn, Nature 409, 46(2001). [CrossRef] [PubMed]
  3. T. Ralph, A. Gilchrist, G. Milburn, W. Munro, and S. Glancy, Phys. Rev. A 68, 042319 (2003). [CrossRef]
  4. S. Glancy and E. Knill, Phys. Rev. A 73, 012325 (2006). [CrossRef]
  5. B. C. Travaglione and G. J. Milburn, Phys. Rev. A 66, 052322 (2002). [CrossRef]
  6. S. Pirandola, S. Mancini, D. Vitali, and P. Tombesi, Europhys. Lett. 68, 323 (2004). [CrossRef]
  7. S. Pirandola, S. Mancini, D. Vitali, and P. Tombesi, J. Phys. B 39, 997 (2006). [CrossRef]
  8. S. Pirandola, S. Mancini, D. Vitali, and P. Tombesi, Eur. Phys. J. D 37, 283 (2006). [CrossRef]
  9. S. Glancy and H. M. Vasconcelos, J. Opt. Soc. Am. B 25, 712 (2008). [CrossRef]
  10. A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and P. Grangier, Science 312, 83 (2006). [CrossRef] [PubMed]
  11. J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, Phys. Rev. Lett. 97, 083604 (2006). [CrossRef] [PubMed]
  12. K. Wakui, H. Takahashi, A. Furusawa, and M. Sasaki, Opt. Express 15, 3568 (2007). [CrossRef] [PubMed]
  13. A. Ourjoumtsev, H. Jeong, R. Tualle-Brouri, and P. Grangier, Nature 448, 784 (2007). [CrossRef] [PubMed]
  14. H. Takahashi, K. Wakui, S. Suzuki, M. Takeoka, K. Hayasaka, A. Furusawa, and M. Sasaki, Phys. Rev. Lett. 101, 233605 (2008). [PubMed]
  15. T. Gerrits, S. Glancy, T. S. Clement, B. Calkins, A. E. Lita, A. J. Miller, A. L. Migdall, S. W. Nam, R. P. Mirin, and E. Knill, Phys. Rev. A 82, 031802(R) (2010). [CrossRef]
  16. W. Wasilewski, A. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006). [CrossRef]
  17. O. Cohen, J. S. Lundeen, B. J. Smith, G. Puentes, P. J. Mosley, and I. A. Walmsley, Phys. Rev. Lett. 102, 123603 (2009). [CrossRef] [PubMed]
  18. A. Furusawa, J. L. Sørensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, and E. S. Polzik, Science 282, 706 (1998). [CrossRef] [PubMed]
  19. H. Yonezawa and A. Furusawa, Opt. Spectrosc. 108, 288(2010). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited