Decoherent dynamics of quantum correlations in qubit–qutrit systems

We study the dynamics of quantum correlations of qubit–qutrit systems under various decoherent channels. It is shown that the multi-local and local decoherent channels bring different influences for the dynamics of quantum correlations measured by negativity, quantum discord and geometric discord, which depend on the initial state parameters and the properties of the decoherent channels. We put emphasis on the phenomena such as entanglement sudden death, sudden transition between classical and quantum decoherence and stable quantum discord and geometric discord.

[1]  F. F. Fanchini,et al.  Non-Markovian dynamics of quantum discord , 2009, 0911.1096.

[2]  A. Rau,et al.  Quantum discord for two-qubit X states , 2010, 1002.3429.

[3]  Animesh Datta,et al.  Quantum discord and the power of one qubit. , 2007, Physical review letters.

[4]  G. Long,et al.  Quantum correlation dynamics of a three-qubit system coupled to an XY spin chain , 2013, The European Physical Journal D.

[5]  Gui-Lu Long,et al.  Measure of nonclassical correlation in coherence-vector representation , 2011 .

[6]  J. Piilo,et al.  Sudden transition between classical and quantum decoherence. , 2010, Physical review letters.

[7]  A. Datta,et al.  Quantum versus classical correlations in Gaussian states. , 2010, Physical review letters.

[8]  Sheng-Wen Li,et al.  Quantum correlations in topological quantum phase transitions , 2009, 0912.3874.

[9]  W. Zurek,et al.  Quantum discord: a measure of the quantumness of correlations. , 2001, Physical review letters.

[10]  Gustavo Rigolin,et al.  Thermal and magnetic quantum discord in Heisenberg models , 2009, 0911.3903.

[11]  He-Shan Song,et al.  Thermal quantum discord of spins in an inhomogeneous magnetic field , 2011 .

[12]  C. H. Bennett,et al.  Quantum Information and Computation , 1995 .

[13]  G. Rigolin,et al.  Quantum correlations in spin chains at finite temperatures and quantum phase transitions. , 2010, Physical review letters.

[14]  H. Song,et al.  Quantum discord dynamics of two-qubit system in a quantum spin environment , 2012 .

[15]  Preeti Parashar,et al.  Tight lower bound on geometric discord of bipartite states , 2012 .

[16]  Sevag Gharibian Quantifying nonclassicality with local unitary operations , 2012 .

[17]  F. F. Fanchini,et al.  Robustness of quantum discord to sudden death , 2009, 0905.3376.

[18]  Вычисление геометрической меры квантового разлада@@@Evaluating the geometric measure of quantum discord , 2012 .

[19]  G. Karpat,et al.  Correlation dynamics of qubit–qutrit systems in a classical dephasing environment , 2011, 1110.2040.

[20]  B. Lanyon,et al.  Experimental quantum computing without entanglement. , 2008, Physical review letters.

[21]  Shuangshuang Fu,et al.  Measurement-induced nonlocality. , 2011, Physical review letters.

[22]  Gui-Lu Long,et al.  Erratum: Measure of nonclassical correlation in coherence-vector representation [Phys. Rev. A 84, 062105 (2011)] , 2012 .

[23]  Č. Brukner,et al.  Necessary and sufficient condition for nonzero quantum discord. , 2010, Physical review letters.

[24]  S. Luo Using measurement-induced disturbance to characterize correlations as classical or quantum , 2008 .

[25]  M. Paris,et al.  Gaussian quantum discord. , 2010, Physical review letters.

[26]  M. S. Sarandy Classical correlation and quantum discord in critical systems , 2009, 0905.1347.

[27]  G. Vidal,et al.  Computable measure of entanglement , 2001, quant-ph/0102117.

[28]  T. Yu,et al.  Finite-time disentanglement via spontaneous emission. , 2004, Physical review letters.

[29]  S. Luo,et al.  Geometric measure of quantum discord , 2010 .

[30]  Zhe Sun,et al.  Quantum discord induced by a spin chain with quantum phase transition , 2010 .

[31]  Y. Mi Classical Correlation and Quantum Discord in a Two Qubit System Under Dissipation Environments , 2012 .

[32]  Pramod S. Joag,et al.  Tight lower bound to the geometric measure of quantum discord , 2010, 1010.1920.

[33]  V. Vedral,et al.  Classical and quantum correlations under decoherence , 2009, 0905.3396.

[34]  S. Luo Quantum discord for two-qubit systems , 2008 .