Skip to main content
Log in

Decoherence of Two-qubits Coupled with Reservoirs Studied with New Ket-Bra Entangled State Method

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

Abstract

For the first time we define a so-called Ket-Bra Entangled State (KBES) for two-qubits coupled with reservoirs by introduce an extra fictitious mode vector, and convert the corresponding master equation into Schrödinger-like equation by virtue of this state. Via this approach we concisely obtain the dynamic evolution of two uncoupled qubits each immersed in local thermal noise. Based on this, the decoherence evolution for the extended Werner-like states is derived and how purity and temperature influence the concurrence is analyzed. This KBES method may also be applied to tackling master equations of limited atomic level systems.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Nielson, M.A., Chuang, I.L.: Quantum Computation and Quantum Information, pp 353–394. Cambridge, England (2002)

    Google Scholar 

  2. Breuer, H.P.: The Theory of Open Quantum System, pp 219–278. Oxford University, Oxford (2002)

    Google Scholar 

  3. Mintert, F., Carvalho, A.R.R., Kuś, M., Buchleitner, A.: Measures and dynamics of entangled states. Phys. Rep. 415, 207–259 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  4. lagmago Kamta, G., Starace, A.F.: Anisotropy and magnetic field effects on the entanglement of a two qubit Heisenberg XY chain. Phys. Rev. Lett. 88, 107901 (2002)

    Article  ADS  Google Scholar 

  5. López, C.E., Romero, G., Lastra, F., Solano, E., Retamal, J.C.: Sudden birth versus sudden death of entanglement in multipartite systems. Phys. Rev. Lett. 101, 080503 (2008)

    Article  Google Scholar 

  6. Derkacz, Ł., Jakóbczyk, L.: Quantum interference and evolution of entanglement in a system of three-level atoms. Phys. Rev. A 74, 032313 (2006)

    Article  ADS  Google Scholar 

  7. Ali, M.: Distillability sudden death in qutrit–qutrit systems under amplitude damping. J. Phys. B: At. Mol. Opt. Phys. 43, 045504 (2010)

    Article  ADS  Google Scholar 

  8. Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  9. Bellomo, B., Lo Franco, R., Compagno, G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342 (2008)

    Article  ADS  Google Scholar 

  10. Fan, H.Y., Fan, Y.: New representation of thermal states in thermal field dynamics. Phys. Lett. A 246, 242 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Fan, H.Y., Gao, W.B.: Solving Laguerre-Gauss mode eigenvectors and eigenfunctions in entangled state representation. Commun. Theor. Phys. 47, 611 (2007)

    Article  ADS  Google Scholar 

  12. Fan, H.-y., Hu, L.-y.: Operator-sum representation of density operators as solutions to master equations obtained via the entangled state approach. Mod. Phys. Lett. B 22, 2435 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. Yu, T., Eberly, J.H.: Evolution from entanglement to decoherence of bipartite mixed X states. Quantum Inf. Comput. 7, 459 (2007)

    MathSciNet  MATH  Google Scholar 

  14. Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yi-Chong Ren.

Additional information

Supported by the National Natural Science Foundation of China under Grant No. 11574295.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ren, YC., Fan, HY. Decoherence of Two-qubits Coupled with Reservoirs Studied with New Ket-Bra Entangled State Method. Int J Theor Phys 55, 2089–2096 (2016). https://doi.org/10.1007/s10773-015-2848-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2848-z

Keywords

Navigation