Abstract
We have investigated the effects of indirect coupling between a nonlinear system of two qubits, initially prepared in an entangled state, and a thermal bath. We obtained an analytical solution for this system that allowed us to analyze the effects of high temperature on the entanglement. We found a nonintuitive behavior: Higher thermal reservoir temperatures imply smaller decay rates of entanglement. The indirect coupling between the two-qubit system and a thermal bath, via a third qubit that is also a two-level system acting as a structured reservoir, it is capable of slowing down of the losses of entanglement, despite the destructive effects of the environment. This third qubit is responsible for substantially suppressing the decoherence effects on the degree of entanglement of the two-qubit system.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11128-015-0925-0/MediaObjects/11128_2015_925_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11128-015-0925-0/MediaObjects/11128_2015_925_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11128-015-0925-0/MediaObjects/11128_2015_925_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11128-015-0925-0/MediaObjects/11128_2015_925_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11128-015-0925-0/MediaObjects/11128_2015_925_Fig5_HTML.gif)
Similar content being viewed by others
References
Nielsen, M., Chuang, I., Grover, L.: Quantum computation and quantum information. Am. J. Phys. 70, 558 (2002)
Walls, D., Milburn, G.: Quantum Optics. Springer, Berlin (2008)
Montina, A., Arecchi, F.T.: Quantum decoherence reduction by increasing the thermal bath temperature. Phys. Rev. Lett. 100, 120401 (2008)
Misra, B., Sudarshan, E.: The Zeno’s paradox in quantum theory. J. Math. Phys. 18(4), 756–763 (1977)
Facchi, P., Pascazio, S.: Quantum zeno subspaces. Phys. Rev. Lett. 89(8), 80401 (2002)
Kim, Y.-S., Lee, J.-C., Kwon, O., Kim, Y.-H.: Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. (2011)
Niskanen, A.O., Harrabi, K., Yoshihara, F., Nakamura, Y., Lloyd, S., Tsai, J.S.: Quantum coherent tunable coupling of superconducting qubits. Science 316, 723–726 (2007)
Majer, J., Chow, J.M., Gambetta, J.M., Koch, J., Johnson, B.R., Schreier, J.A., Schoelkopf, R.J.: Coupling superconducting qubits via a cavity bus. Nature 449(7161), 443–447 (2007)
Scully, M., Zubairy, M.: Quantum Optics. Cambridge University Press, Cambridge (1997)
Apostol, T.: Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications. Wiley, New York (1969)
Arfken, G., Weber, H., Ruby, L.: Mathematical Methods for Physicists. 3. Academic Press, San Diego (1985)
Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002)
Acknowledgments
This work was supported by Capes (Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior). We are also grateful for the financial support by CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico). This work is also linked to CEPOF (Centro de Pesquisa em Optica e Fotonica, FAPESP). The authors would like to thank professor Mohinder Paul Sharma and Ph.D. E. L. J. Borda for his valuable comments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gonzalez-Henao, J.C., Roversi, J.A. Decrease of the decay rate of the entanglement of a system of two entangled qubits by increasing the temperature of the thermal bath. Quantum Inf Process 14, 1377–1385 (2015). https://doi.org/10.1007/s11128-015-0925-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-015-0925-0