Skip to main content
SpringerLink
Log in

Testing Temporal Contextuality with Quantum Entangled Histories

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

Abstract

Quantum contextuality is a fundamental feature of quantum theory, which has been demonstrated in spatial scenario theoretically and experimentally. In this paper, we proposed a scheme to test temporal contextuality with a two-time entangled history state in the optical system. The contextuality is generated from the sequential projective measurements and revealed by the violation of the temporal Klyachko-Can-Binicioglu-Shumovsky inequality, which is obeyed by the noncontextual hidden variable theories. Compared with the existing schemes for testing quantum contextuality, ours can give the same physical result without collapsing the state. From the point of view of experiment, it is easier to implement as the measurement is projective measurement, and it can be extended to multiple time nodes.

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

Similar content being viewed by others

References

  1. Bell, J.S.: On the Einstein-Podolsky-Rosen porodox. Physics 1, 195 (1964)

    Article  Google Scholar 

  2. Kochen, S., Specker, E.P.: The problem of hidden variables in quantum mechanics. J. Math. Mech. 17, 59 (1967)

    MathSciNet  MATH  Google Scholar 

  3. Roy, S.M., Singh, V.: Quantum violation of stochastic noncontextual hidden-variable theories. Phys. Rev. A 48, 3379 (1993)

    Article  ADS  Google Scholar 

  4. Larsson, J.A.: A Kochen-Specker inequality. Europhys. Lett. 58, 799 (2002)

    Article  ADS  Google Scholar 

  5. Klyachko, A.A., Can, M.A., Binicioğlu, S., Shumovsky, A.S.: Simple test for hidden variables in spin-1 systems. Phys. Rev. Lett. 101, 020403 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Markiewicz, M., Kurzyński, P., Thompson, J., Lee, S.Y., Soeda, A., Paterek, T., Kaszlikowski, D.: Unified approach to contextuality, nonlocality, and temporal correlations. Phys. Rev. A 89, 042109 (2014)

    Article  ADS  Google Scholar 

  7. Cabello, A.: Experimentally testable State-Independent quantum contextuality. Phys. Rev. Lett. 101, 210401 (2008)

    Article  ADS  Google Scholar 

  8. Kirchmair, G., Zahringer, F., Gerritsma, R., Kleinmann, M., Guhne, O., Cabello, A., Blatt, R., Roos, C.F.: State-independent experimental test of quantum contextuality. Nature 460, 494 (2009)

    Article  ADS  Google Scholar 

  9. Amselem, E., Radmark, M., Bourennane, M., Cabello, A.: State-Independent Quantum contextuality with single photons. Phys. Rev. Lett. 103, 160405 (2009)

    Article  ADS  Google Scholar 

  10. Huang, Y.F., Li, C.F., Zhang, Y.S., Pan, J.W., Guo, G.C.: Experimental test of the Kochen-Specker theorem with single photons. Phys. Rev. Lett. 90, 250401 (2003)

    Article  ADS  Google Scholar 

  11. Bartosik, H., Klepp, J., Schmitzer, C., Sponar, S., Cabello, A., Rauch, H., Hasegawa, Y.: Experimental test of quantum contextuality in neutron interferometry. Phys. Rev. Lett. 103, 040403 (2009)

    Article  ADS  Google Scholar 

  12. Cabello, A., Filipp, S., Rauch, H., Hasegawa, Y.: Proposed experiment for testing quantum contextuality with neutrons. Phys. Rev. Lett. 100, 130404 (2008)

    Article  ADS  Google Scholar 

  13. Moussa, O., Ryan, C.A., Cory, D.G., Laflamme, R.: Testing contextuality on quantum ensembles with one clean qubit. Phys. Rev. Lett. 104, 160501 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  14. Lapkiewicz, R., Li, P., Schaeff, C., Langford, N.K., Ramelow, S., Wieśniak, M., Zeilinger, A.: Experimental non-classicality of an indivisible quantum system. Nature 474, 490 (2011)

    Article  Google Scholar 

  15. Griffiths, R.: Consistent Quantum Theory. Cambridge University Press, Cambridge (2002)

    MATH  Google Scholar 

  16. Cotler, J., Wilczek, F.: Entangled histories. Phys. Scr. T168, 014004 (2016)

    Article  ADS  Google Scholar 

  17. Gühne, O., Budroni, C., Cabello, A., Kleinmann, M., Larsson, J.: Bounding the quantum dimension with contextuality. Phys. Rev. A 89, 062107 (2014)

    Article  ADS  Google Scholar 

  18. Cotler, J., Wilczek, F.: Bell Tests for Histories. arXiv:1503.06458 (2015)

  19. Cotler, J., Wilczek, F.: Entanglement Enabled Intensity Interferometry. arXiv:1502.02477 (2015)

  20. Cotler, J., Duan, L.M., Hou, P.Y., Wilczek, F., Xu, D., Yin, Z.Q., Zu, C.: Experimental test of entangled histories. Ann. Physics 387, 334 (2017)

    Article  ADS  MATH  Google Scholar 

  21. Wei, L.F., Maruyama, K., Wang, X.B., You, J.Q., Nori, F.: Testing quantum contextuality with macroscopic superconducting circuits. Phys. Rev. B 81, 174513 (2010)

    Article  ADS  Google Scholar 

  22. Dong, J.K., Chen, Y.M., Xu, D., Yin, Z.Q.: Greenberger-horne-zeilinger test for multi-dimension and arbitrary time nodes entangled histories. Sci. Bull. 62, 1235 (2017)

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by National Natural Science Foundation of China (NSFC) under Grant No. 11274010, the Key Program of west Anhui university under Grant No.WXZR201819 and KJ103762015B23, the Key Program of Domestic Visiting of Anhui Province under Grant No. gxfxZD2016193, the Domestic Visit Project of Excellent Backbone Talents of Anhui Province under Grant No. gxgnfx2018072, Anhui Sanlian University Research Innovation Platform Project under Grant No. PTZD2019030.

Author information

Authors and Affiliations

  1. School of Electrical and Photoelectric Engineering, West Anhui University, Lu’an, 237012, China

    Guo-Zhu Pan & Gang Zhang

  2. School of Basic Experimental Teaching Center, Anhui Sanlian University, Hefei, 230031, China

    Quan-Hai Sun

Authors
  1. Guo-Zhu Pan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Quan-Hai Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Guo-Zhu Pan.

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

Pan, GZ., Zhang, G. & Sun, QH. Testing Temporal Contextuality with Quantum Entangled Histories. Int J Theor Phys 58, 2550–2555 (2019). https://doi.org/10.1007/s10773-019-04144-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-019-04144-1

Keywords

Search

Navigation