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.
Similar content being viewed by others
References
Henderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A 34, 6899 (2001)
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
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)
Luo, S.: Quantum discord for two-qubit systems. Phys. Rev. A 77, 042303 (2008)
Oppenheim, J., Horodecki, M., Horodecki, P., Horodecki, R.: Thermodynamical approach to quantifying quantum correlations. Phys. Rev. Lett. 89, 180402 (2002)
Streltsov, A., Kampermann, H., Bruss, D.: Linking quantum discord to entanglement in a measurement. Phys. Rev. Lett. 106, 160401 (2001)
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)
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)
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)
Singh, U., Pati, A.K.: Super quantum discord with weak measurements. Ann. Phys. 343, 141 (2014)
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)
Oreshkov, O., Brun, T.A.: Weak measurement are universal. Phys. Rev. Lett. 95, 110409 (2005)
Cakmak, B., Gedik, Z.: Quantum discord of SU(2) invariant states. J. Phys. A Math. Theor. 46, 465302 (2013)
Author information
Authors and Affiliations
Corresponding author
Additional information
This work is supported by Natural Science Foundation of China under Numbers 11361065 and 11761073.
Rights and permissions
About this article
Cite this article
Li, LS., Tao, YH., Nan, H. et al. Super-quantum correlation for SU(2) invariant state in \(4\otimes 2\) system. Quantum Inf Process 17, 86 (2018). https://doi.org/10.1007/s11128-017-1789-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11128-017-1789-2