Skip to main content
SpringerLink
Log in

Generating Postselected Quantum State from Fock State Using Ancillary Squeezed-vacuum State and Continuous-variable Postselection

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Injecting a Fock state and an ancillary squeezed vacuum state into a beam-splitter (BS) device and then employing continuous-variable postselection detection in one output port, a postselected quantum state is generated in another output port. We derive the detailed analytical expressions of the density operator for the output state. Then we study the success probability analytically and numerically. In what follows, we study some properties for the generated state, including photon-number representation, Mandel Q parameter and Wigner function. Expressions for every property are given and numerical analyses are employed by changing different interaction parameters. The results show the nonclassical properties will be displayed in proper interaction parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Dell’Anno, F., De Siena, S., Illuminati, F.: Multiphoton quantum optics and quantum state engineering. Phys. Rep. 428, 53 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  2. Kim, M.S.: Recent developments in photon-level operations on travelling light fields. J. Phys. B 41, 133001 (2008)

    Article  ADS  Google Scholar 

  3. Knott, P.A., Proctor, T.J., Hayes, A.J., Cooling, J.P., Dunningham, J.A.: Practical quantum metrology with large precision gains in the low-photon-number regime. Phys. Rev. A 93, 033859 (2016)

    Article  ADS  Google Scholar 

  4. Giovannetti, V., Lloyd, S., andMaccone, L.: Advances in quantum metrology. Nat. Photonics 5, 222 (2011)

    Article  ADS  Google Scholar 

  5. Braunstein, S.L., Kimble, H.J.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869 (1998)

    Article  ADS  Google Scholar 

  6. Huang, P., He, G.Q., Fang, J., Zeng, G.H.: Performance improvement of continuous variable quantum key distribution via photon subtraction. Phys. Rev. A 87, 012317 (2013)

    Article  ADS  Google Scholar 

  7. Fiurasek, J.: Conditional generation of sub-Poissonian light from two-mode squeezed vacuum via balanced homody ne detection on idler mode. Phys. Rev. A 64, 053817 (2001)

    Article  ADS  Google Scholar 

  8. Takeoka, M., Sasaki, M.: Conditional generation of an arbitrary superposition of coherent states. Phys. Rev. A 75, 064302 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  9. Ban, M.: Equivalence of lossless beam splitter and nondegenerate parametric amplifier in conditional measurement. Opt. Commun. 143, 225 (1997)

    Article  ADS  Google Scholar 

  10. Luis, A., Sanchez-Soto, L.L.: Conditional generation of field states in parametric down-conversion. Phys. Lett. A 244, 211 (1998)

    Article  ADS  Google Scholar 

  11. Dakna, M., Anhut, T., Opatrny, T., Knoll, L., Welsch, D.G.: Generating Schrodinger cat-like states by means of conditional measurements on a beam splitter. Phys. Rev. A 55, 3184 (1997)

    Article  ADS  Google Scholar 

  12. Dakna, M., Knoll, L., Welsch, D.: Photon-added state preparation via conditional measurement on a beam splitter. Opt. Commun. 145, 309 (1997)

    Article  ADS  Google Scholar 

  13. Lvovsky, A.I., Mlynek, J.: Quantum-optical catalysis: generating nonclassical states of light by means of linear optics. Phys. Rev. Lett. 88, 250401 (2002)

    Article  ADS  Google Scholar 

  14. Bartley, T.J., Donati, G., Spring, J.B., Jin, X.M., Barbieri, M., Datta, A., Smith, B.J., Walmsley, I.A.: Multiphoton state engineering by heralded interference between single photons and coherent states. Phys. Rev. A 86, 043820 (2012)

    Article  ADS  Google Scholar 

  15. Pegg, D.T., Phillips, L.S., Barnett, S.M.: Optical state truncation by projection synthesis. Phys. Rev. Lett. 81, 1604 (1998)

    Article  ADS  Google Scholar 

  16. Ozdemir, S.K., Miranowicz, A., Koashi, M., Imoto, N.: Quantum-scissors device for optical state truncation: A proposal for practical realization. Phys. Rev. A 64, 063818 (2001)

    Article  ADS  Google Scholar 

  17. Quesada, N., Helt, L.G., Izaac, J., Arrazola, J.M., Shahrokhshahi, R., Myers, C.R., Sabapathy, K.K.: Simulating realistic non-Gaussian state preparation. Phys. Rev. A 100, 022341 (2019)

    Article  ADS  Google Scholar 

  18. Gagatsos, C.N., Guha, S.: Efficient representation of Gaussian states for multimode non-Gaussian quantum state engineering via subtraction of arbitrary number of photons. Phys. Rev. A 99, 053816 (2019)

    Article  ADS  Google Scholar 

  19. Su, D., Myers, C.R., Sabapathy, K.K.: Generation of photonic non-Gaussian states by measuring multimode Gaussian states. arXiv:1902.02331(2019)

  20. Magana-Loaiza, O.S., de Leon-Montiel, J.R., Perez-Leija, A., URen, A.B., You, C., Busch, K., Lita, A.E., Nam, S.W., Mirin, R.P., Gerrits, T.: Multiphoton Quantum-State Engineering using Conditional Measurements. arXiv:1901.00122 (2019)

  21. Xu, X.X., Yuan, H.C., Fan, H.Y.: Generating Hermite polynomial excited squeezed states by means of conditional measurements on a beam splitter. J. Opt. Soc. Am. B 32, 1146 (2015)

    Article  ADS  Google Scholar 

  22. Zhang, H.L., Yuan, H.C., Hu, L.Y., Xu, X.X.: Synthesis of Hermite polynomial excited squeezed vacuum states from two separate single-mode squeezed vacuum states. Opt. Commun. 356, 223 (2015)

    Article  ADS  Google Scholar 

  23. Xu, X.X., Yuan, H.C., Ma, S.J.: Measurement-induced nonclassical states from a coherent state heralded by Knill–Laflamme– Milburn-type interference. J. Opt. Soc. Am. B 33, 061322 (2016)

    ADS  Google Scholar 

  24. Xu, X.X.: Enhancing quantum entanglement and quantum teleportation for two-mode squeezed vacuum state by local quantum-optical catalysis. Phys. Rev. A 92, 012318 (2015)

    Article  ADS  Google Scholar 

  25. Xu, X.X., Hu, L.Y., Liao, Z.Y.: Improvement of entanglement via quantum scissors. J. Opt. Soc. Am. B 35, 010174 (2018)

    ADS  Google Scholar 

  26. Etesse, J., Bouillard, M., Kanseri, B., Tualle-Brouri, R.: Experiment generation of squeezed cat states with an operation allowing iterative growth. Phys. Rev. Lett. 114, 193602 (2015)

    Article  ADS  Google Scholar 

  27. Etesse, J., Blandino, R., Kanseri, B., Tualle-Brouri, R.: Proposal for a loophole-free violation of Bell’s inequalities with a set of single photons and homodyne measurements. New J. Phys. 16, 053001 (2014)

    Article  ADS  Google Scholar 

  28. Molnar, E., Adam, P., Mogyorosi, G., Mechler, M.: Quantum state engineering via coherent-state superpositions in traveling optical fields. Phys. Rev. A 97, 023818 (2018)

    Article  ADS  Google Scholar 

  29. Laghaout, A., Neergaard-Nielsen, J.S., Rigas, I., Kragh, C., Tipsmark, A., Anderson, U.L.: Amplification of realistic Schrodinger-cat-state-like states by homodyne heralding. Phys. Rev. A 87, 043826 (2013)

    Article  ADS  Google Scholar 

  30. Lance, A.M., Jeong, H., Grosse, N.B., Symul, T., Ralph, T.C., Lam, P.K.: Quantum-state engineering with continuous-variable postselection. Phys. Rev. A 73, 041801 (2006)

    Article  ADS  Google Scholar 

  31. Jeong, H., Lance, A.M., Grosse, N.B., Symul, T., Lam, P.K., Ralph, T.C.: Conditional quantum-state engineering using ancillary squeezed-vacuum states. Phys. Rev. A 74, 033813 (2006)

    Article  ADS  Google Scholar 

  32. Hamilton, C.S., Kruse, R., Sansoni, L., Barkhofen, S., Silberhorn, C., Jex, I.: Gaussian boson sampling. Phys. Rev. Lett. 119, 170501 (2017)

    Article  ADS  Google Scholar 

  33. Mandel, L.: Sub-poissonian photon statistics in resonance fluorescence. Opt. Lett. 4, 205 (1979)

    Article  ADS  Google Scholar 

  34. Serafini, A.: Quantum continuous variables: a primer of theoretical methods. CRC Press (2017)

Download references

Author information

Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    Zhong-min Liu & Qiu-ying Min

  2. College of Science and Technology, Jiangxi Normal University, Nanchang, 330022, China

    Lin Zhou

Authors
  1. Zhong-min Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qiu-ying Min
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lin Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhong-min Liu.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Zm., Min, Qy. & Zhou, L. Generating Postselected Quantum State from Fock State Using Ancillary Squeezed-vacuum State and Continuous-variable Postselection. Int J Theor Phys 59, 361–373 (2020). https://doi.org/10.1007/s10773-019-04330-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-019-04330-1

Keywords

Search

Navigation