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Title of Journal: Quantum Inf Process

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Abbravation: Quantum Information Processing

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Springer US

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DOI

10.1007/s11003-015-9776-1

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1573-1332

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NonMarkovian entanglement dynamics of two qubits

Authors: C Anastopoulos S Shresta B L Hu
Publish Date: 2009/10/07
Volume: 8, Issue: 6, Pages: 549-
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Abstract

We study the nonequilibrium dynamics of a pair of qubits made of twolevel atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other Our calculation makes a weak coupling assumption but no Born or Markov approximation We write the evolution equations of the reduced density matrix of the twoqubit system after integrating out the electromagnetic field modes We study two classes of states in detail Class A is a one parameter family of states which are the superposition of the highest energy and lowest energy states and Class B states which are the linear combinations of the symmetric and the antisymmetric Bell states Our results for an initial Bell state are similar to those obtained before for the same model derived under the Born–Markov approximation However in the Class A states the behavior is qualitatively different under the nonMarkovian evolution we do not see sudden death of quantum entanglement and subsequent revivals except when the qubits are sufficiently far apart We provide explanations for such differences of behavior both between these two classes of states and between the predictions from the Markov and nonMarkovian dynamics We also study the decoherence of this twoqubit system

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  2. Super quantum discord for general two qubit X states
  3. An ancilla-based quantum simulation framework for non-unitary matrices
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  9. A quantization procedure based on completely positive maps and Markov operators
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  11. The CGMV method for quantum walks
  12. Concurrence in the framework of coherent states
  13. Noncyclic geometric quantum computation and preservation of entanglement for a two-qubit Ising model
  14. Noise and the magic square game
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  16. Nuclear polarization and entanglement in spin systems
  17. Controllability and Universal Three-qubit Quantum Computation with Trapped Electron States
  18. Quantum relative phase, m -tangle, and multi-local Lorentz-group invariant
  19. Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs
  20. Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields
  21. Classical–quantum arbitrarily varying wiretap channel: Ahlswede dichotomy, positivity, resources, super-activation
  22. Multi-party quatum private compariso protocol with $$$$-level etagled states
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