Super-quantum correlation for SU(2) invariant state in \(4\otimes 2\) system

Article
  • 45 Downloads

Abstract

We analytically evaluate the weak one-way deficit and super-quantum discord for a system composed of spin-3/2 and spin-1/2 subsystems possessing SU(2) symmetry. We also make a comparative study of the relationships among the quantum discord, one-way deficit, weak one-way deficit, and super-quantum discord for the SU(2) invariant state. It is shown that super-quantum discord via weak measurement is greater than that via von Neumann measurement. But weak one-way deficit is less than the one-way deficit. As a result, weak measurement do not always reveal more quantumness.

Keywords

Weak measurement Weak one-way deficit Super-quantum discord SU(2) invariant state 

References

  1. 1.
    Henderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A 34, 6899 (2001)ADSMathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRefMATHGoogle Scholar
  3. 3.
    Li, B., Wang, Z.X., Fei, S.M.: Quantum discord and geometry for a class of two-qubit states. Phys. Rev. A 83, 022321 (2011)ADSCrossRefGoogle Scholar
  4. 4.
    Luo, S.: Quantum discord for two-qubit systems. Phys. Rev. A 77, 042303 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    Oppenheim, J., Horodecki, M., Horodecki, P., Horodecki, R.: Thermodynamical approach to quantifying quantum correlations. Phys. Rev. Lett. 89, 180402 (2002)ADSCrossRefMATHGoogle Scholar
  6. 6.
    Streltsov, A., Kampermann, H., Bruss, D.: Linking quantum discord to entanglement in a measurement. Phys. Rev. Lett. 106, 160401 (2001)CrossRefGoogle Scholar
  7. 7.
    Wang, Y.K., Jing, N.H., Fei, S.M., Wang, Z.X., Cao, J.P., Fan, H.: One-way deficit of two-qubit X states. Quantum Inf. Process 14, 2487 (2015)ADSCrossRefMATHGoogle Scholar
  8. 8.
    Wang, Y.K., Ma, T., Fei, S.M., Wang, Z.X.: One-way deficit of SU(2) invariant states. Rep. Math. Phys. 73, 165 (2014)ADSMathSciNetCrossRefMATHGoogle Scholar
  9. 9.
    Akharonov, Y., Albert, D.Z., Vaidman, L.: How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100. Phys. Rev. Lett. 60, 1351 (1988)ADSCrossRefGoogle Scholar
  10. 10.
    Singh, U., Pati, A.K.: Super quantum discord with weak measurements. Ann. Phys. 343, 141 (2014)ADSCrossRefMATHGoogle Scholar
  11. 11.
    Wang, Y.K., Ma, T., Fan, H., Fei, S.M., Wang, Z.X.: Super-quantum correlation and geometry for Bell-diagonal states with weak measurements. Quantum Inf. Process 13, 283 (2014)CrossRefMATHGoogle Scholar
  12. 12.
    Oreshkov, O., Brun, T.A.: Weak measurement are universal. Phys. Rev. Lett. 95, 110409 (2005)ADSCrossRefGoogle Scholar
  13. 13.
    Cakmak, B., Gedik, Z.: Quantum discord of SU(2) invariant states. J. Phys. A Math. Theor. 46, 465302 (2013)ADSMathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, College of SciencesYanbian UniversityYanjiChina

Personalised recommendations