Abstract
An analytical solution of the master equation for two qubits-field system in the dispersive reservoir are investigated, the qubits are initially in werner states. Under the influence of the damping we investigate the quantum correlation in a two-qubit based on measurement-induced disturbance (MID). We compare MID and entanglement measured by negativity and illustrate their different characteristics. We find the effect of damping on MID is weaker than negativity. Negativity will experience a sudden transition but this will not happen for MID.
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Luo S.: Using measurement-induced disturbance to characterize correlations as classical or quantum. Phys. Rev. A 77, 022301–022305 (2008)
Li N., Luo S.: Measurement-induced disturbance and thermal negativity of qutrit-qubit mixed spin chain. Phys. Rev. A 76, 032327–032335 (2007)
Datta A., Shaji A., Caves C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502–050505 (2008)
Lanyon B.P., Barbieri M., Almeida M.P., White A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501–200504 (2008)
Ollivier H., Zurek W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901–017904 (2002)
Henderson L., Vedral V.: Classical, quantum and total correlations. J. Phys. A 34, 6899–6903 (2001)
Terhal BM., Horodecki M., Leung D.W., DiVincenzo D.P.: The entanglement of purification. J. Math. Phys. 43, 4286–4298 (2002)
DiVincenzo D.P., Horodecki M., Leung D.W., Smolin J.A., Terhal B.M.: Locking classical correlations in quantum states. Phys. Rev. Lett. 92, 067902–067908 (2004)
Piani M., Horodecki P., Horodecki R.: No-local-broadcasting theorem for multipartite quantum correlations. Phys. Rev. Lett. 100, 090502–090505 (2008)
Wu S., Poulsen U.V., Mølmer K.: Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality. Phys. Rev. A 80, 032319–032330 (2009)
Modi K., Paterek T., Son W., Vedral V., Williamson M.: Unified view of quantum and classical correlations. Phys. Rev. Lett. 104, 080501–080504 (2010)
Al-Qasimi, A., James, D.F.V.: A comparison of the attempts of quantum discord and quantum entanglement to capture quantum correlations. 1007, 1814–1817 (2010) arXiv
Galve F., Giorgi G.L., Zambrini R.: Maximally discordant mixed states of two qubits. Phys. Rev. A 83, 012102–012106 (2011)
Wei T-C., Nemoto K., Goldbart P.M., Kwiat P.G., Munro W.J., Verstraete F.: Maximal entanglement versus entropy for mixed quantum states. Phys. Rev. A 67, 022110–022121 (2003)
Horodecki R., Horodecki P., Horodecki M., Horodecki K.: Quantum entanglement. Rev. Mod. Phys. 81, 865–942 (2009)
Zheng S.-B., Guo G.-C.: Efficient Scheme for two-atom entanglement and quantum information processing in cavity QED. Phys. Rev. Lett. 85, 2392–2395 (2000)
Bellomo B., Franco R.L., Compagno G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342–032351 (2008)
Werlang T., Trippe C., Ribeiro G.A.P., Rigolin G.: Quantum correlations in spin chains at finite temperatures and quantum phase transitions. Phys. Rev. Lett. 105, 095702–095705 (2010)
Peres A.: Separability criterion for density matrices. Phys. Rev. Lett. 77, 1413–1415 (1996)
Vidal G., Werner R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314–032324 (2002)
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Obada, AS.F., Hessian, H.A., Mohamed, AB.A. et al. Influence of the phase damping for two-qubits system in the dispersive reservoir. Quantum Inf Process 12, 1947–1956 (2013). https://doi.org/10.1007/s11128-012-0503-7
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DOI: https://doi.org/10.1007/s11128-012-0503-7