Decoherence-free subspace and disentanglement dynamics for two qubits in a common non-Markovian squeezed reservoir

We study the non-Markovian entanglement dynamics of two qubits in a common squeezed bath. We see a remarkable difference between the non-Markovian entanglement dynamics and its Markovian counterpart. We show that a non-Markovian decoherence-free state is also decoherence free in the Markovian regime, but all the Markovian decoherence-free states are not necessarily decoherence free in the non-Markovian domain. We extend our calculation from a squeezed vacuum bath to a squeezed thermal bath, where we see the effect of finite bath temperatures on the entanglement dynamics.

[1]  Wei Cui,et al.  The entanglement dynamics of the bipartite quantum system: toward entanglement sudden death , 2009, 0910.5210.

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

[3]  Artur Ekert,et al.  Quantum computers and dissipation , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[4]  Ting Yu,et al.  Sudden death of entanglement: Classical noise effects , 2006 .

[5]  Hang Zheng,et al.  Non-Markovian disentanglement dynamics of a two-qubit system , 2007, 0709.3229.

[6]  Entanglement induced by a single-mode heat environment , 2001, quant-ph/0109052.

[7]  M. Orszag,et al.  Decoherence and disentanglement for two qubits in a common squeezed reservoir , 2008, 0801.1458.

[8]  R. Ghosh,et al.  Dynamics of decoherence without dissipation in a squeezed thermal bath , 2007, quant-ph/0703054.

[9]  G. Compagno,et al.  Non-markovian effects on the dynamics of entanglement. , 2007, Physical review letters.

[10]  R. Srikanth,et al.  Geometric phase of a qubit interacting with a squeezed-thermal bath , 2006, quant-ph/0611161.

[11]  E. Mucciolo,et al.  Phonon decoherence of a double quantum dot charge qubit , 2004, cond-mat/0412190.

[12]  T. Yu,et al.  Sudden Death of Entanglement , 2009, Science.

[13]  B. Garraway,et al.  Sudden death and sudden birth of entanglement in common structured reservoirs , 2008, 0812.3546.

[14]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[15]  D. Mundarain.  Zeno and anti-Zeno effect for a two-level system in a squeezed bath (8 pages) , 2006 .

[16]  Daniel F. V. James,et al.  Sudden death of entanglement at finite temperature , 2008 .

[17]  J Laurat,et al.  Heralded entanglement between atomic ensembles: preparation, decoherence, and scaling. , 2007, Physical review letters.

[18]  J. Cirac,et al.  Discrete entanglement distribution with squeezed light. , 2003, Physical review letters.

[19]  Francesco Petruccione,et al.  The Theory of Open Quantum Systems , 2002 .

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

[21]  Entangling atoms and ions in dissipative environments , 2000, quant-ph/0007082.

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

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

[24]  R Raussendorf,et al.  A one-way quantum computer. , 2001, Physical review letters.

[25]  A study on the sudden death of entanglement , 2006, quant-ph/0612145.

[26]  Charles H. Bennett,et al.  Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.

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

[28]  S. Clark,et al.  Entanglement and entropy engineering of atomic two-qubit States. , 2002, Physical review letters.

[29]  M. S. Zubairy,et al.  Quantum optics: Frontmatter , 1997 .

[30]  Daniel Braun,et al.  Creation of entanglement by interaction with a common heat bath. , 2002, Physical review letters.

[31]  P. Zoller,et al.  Mimicking a squeezed bath interaction: Quantum reservoir engineering with atoms , 1997, quant-ph/9706031.

[32]  U. Weiss.  Quantum Dissipative Systems , 1993 .

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

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

[35]  Carmichael,et al.  Spectral linewidth narrowing in a strongly coupled atom-cavity system via squeezed-light excitation of a "vacuum" Rabi resonance. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[36]  T. Werlang,et al.  Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED , 2008, 0806.2637.

[37]  M. B. Plenio,et al.  Cavity-loss-induced generation of entangled atoms , 1999 .

[38]  Vitali,et al.  Physical realization of an environment with squeezed quantum fluctuations via quantum-nondemolition-mediated feedback. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[39]  Xiang-Fa Zhou,et al.  Qubit disentanglement in local squeezed reservoirs , 2007 .

[40]  M B Plenio,et al.  Entangled light from white noise. , 2002, Physical review letters.

[41]  M. Feng,et al.  Sudden death and birth of entanglement beyond the Markovian approximation , 2009, 0903.4225.

[42]  L Schimansky-Geier,et al.  Non-Markovian approach to globally coupled excitable systems. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Wei Cui,et al.  Non-Markovian entanglement dynamics between two coupled qubits in the same environment , 2009, 0910.5793.

[44]  Paz,et al.  Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise. , 1992, Physical review. D, Particles and fields.

[45]  Ka-Di Zhu,et al.  Non-Markovian reduced dynamics and entanglement evolution of two coupled spins in a quantum spin environment , 2007 .

[46]  Gardiner,et al.  Inhibition of atomic phase decays by squeezed light: A direct effect of squeezing. , 1986, Physical review letters.

[47]  Ekert,et al.  Practical quantum cryptography based on two-photon interferometry. , 1992, Physical review letters.

[48]  Environment-assisted entanglement enhancement , 2006, quant-ph/0607078.

[49]  A two-level atom coupled to a controllable squeezed vacuum field reservoir , 2004, quant-ph/0505047.

[50]  G. Milburn,et al.  Entanglement in the steady state of a collective-angular-momentum (Dicke) model , 2002 .

[51]  P. Zanardi,et al.  Error avoiding quantum codes , 1997, quant-ph/9710041.

[52]  Daniel A. Lidar,et al.  CONCATENATING DECOHERENCE-FREE SUBSPACES WITH QUANTUM ERROR CORRECTING CODES , 1998, quant-ph/9809081.

[53]  Kimble,et al.  Nonclassical excitation for atoms in a squeezed vacuum. , 1995, Physical review letters.

[54]  W. Zurek.  Decoherence, einselection, and the quantum origins of the classical , 2001, quant-ph/0105127.

[55]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

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

[57]  Maira Amezcua,et al.  Quantum Optics , 2012 .

[58]  I. Sinayskiy,et al.  Non-Markovian dynamics of an interacting qubit pair coupled to two independent bosonic baths , 2009, Journal of Physics A: Mathematical and Theoretical.

[59]  A. Zeilinger,et al.  Experimental one-way quantum computing , 2005, Nature.

[60]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[61]  Peihao Huang,et al.  Non-Markovian dynamics of a biased qubit coupled to a structured bath , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.

[62]  M. Nielsen.  Cluster-state quantum computation , 2005, quant-ph/0504097.

[63]  H. Goan,et al.  Influence of an external magnetic field on the decoherence of a central spin coupled to an antiferromagnetic environment , 2007, 0706.0934.

[64]  Jian-Wei Pan,et al.  Experimental entanglement of six photons in graph states , 2006, quant-ph/0609130.

[65]  Entanglement oscillations in non-Markovian quantum channels , 2007, quant-ph/0702055.

[66]  V. Lorenz,et al.  Non-Markovian dynamics in a dense potassium vapor. , 2005 .

[67]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

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