Non-Markovian disentanglement dynamics of a two-qubit system

We investigate the disentanglement dynamics of a two-qubit system in the non-Markovian approach. It is shown that only for weak coupling between the system and environment does an exponential decay of entanglement appear, for certain classes of two-qubit entangled states. When the coupling between qubit and the environment becomes stronger, entanglement sudden death always appears even if the dissipation environment is at zero temperature.

[1]  Lov K. Grover Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.

[2]  M. Kus,et al.  Measures and dynamics of entangled states , 2005, quant-ph/0505162.

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

[4]  Kuan-Liang Liu,et al.  Non-markovian entanglement dynamics of quantum continuous variable systems in thermal environments , 2007, 0706.0996.

[5]  Quantum Physics and Computers , 1996, quant-ph/9612014.

[6]  Hang Zheng,et al.  Non-Markovian disentanglement dynamics of two-qubit system in common environment , 2009 .

[7]  M. S. Zubairy,et al.  Disentanglement in a two-qubit system subjected to dissipation environments , 2007 .

[8]  A. Khaetskii,et al.  Electron spin decoherence in quantum dots due to interaction with nuclei. , 2002, Physical review letters.

[9]  J. Cirac,et al.  Improvement of frequency standards with quantum entanglement , 1997, quant-ph/9707014.

[10]  Roberto Ramos,et al.  Entangled Macroscopic Quantum States in Two Superconducting Qubits , 2003, Science.

[11]  S. F. Pereira,et al.  Quantum Communication with Correlated Nonclassical States. , 2000, QELS 2000.

[12]  Artur Ekert,et al.  Dense Coding Based on Quantum Entanglement , 1995 .

[13]  W. Wootters Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

[14]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[15]  Christoph Becher,et al.  Control and Measurement of Three-Qubit Entangled States , 2004, Science.

[16]  Wineland,et al.  Optimal frequency measurements with maximally correlated states. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[17]  Hang Zheng,et al.  Dynamics of a two-level system coupled to Ohmic bath: a perturbation approach , 2002 .

[18]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[19]  M. P. Almeida,et al.  Environment-Induced Sudden Death of Entanglement , 2007, Science.

[20]  Yu. A. Pashkin,et al.  Quantum oscillations in two coupled charge qubits , 2002, Nature.

[21]  J. Eberly,et al.  Quantum open system theory: bipartite aspects. , 2006, Physical review letters.

[22]  T. Hänsch,et al.  Controlled collisions for multi-particle entanglement of optically trapped atoms , 2003, Nature.

[23]  Charge qubit dynamics in a double quantum dot coupled to phonons , 2004, cond-mat/0412503.

[24]  H. Briegel,et al.  Experimental demonstration of five-photon entanglement and open-destination teleportation , 2004, Nature.

[25]  Hakim,et al.  Bosonization of a two-level system with dissipation. , 1985, Physical review. B, Condensed matter.

[26]  P. Knight,et al.  Proposal for teleportation of an atomic state via cavity decay , 1999, quant-ph/9908004.

[27]  Christian Kurtsiefer,et al.  Experimental realization of a three-qubit entangled W state. , 2004, Physical review letters.

[28]  W. Wootters,et al.  Entanglement of a Pair of Quantum Bits , 1997, quant-ph/9703041.

[29]  R. Tanas,et al.  Entangled states and collective nonclassical effects in two-atom systems , 2002, quant-ph/0302082.

[30]  F. Schmidt-Kaler,et al.  Bell states of atoms with ultralong lifetimes and their tomographic state analysis. , 2004, Physical review letters.