## Quantum Dynamics and InformationThe central theme of this lecture collection is quantum dynamics, regarded mostly as the dynamics of entanglement and that of decoherence phenomena. Both these concepts appear to refer to the behavior of surprisingly fragile features of quantum systems supposed to model quantum memories and to implement quantum date processing routines. This collection may serve as an essential resource for those interested in both theoretical description and practical applications of fundamentals of quantum mechanics. |

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### Contents

Quantum memories and Landauers principle | 1 |

Asymptotic entanglement in open quantum systems | 13 |

Constructing positive maps in matrix algebras | 37 |

Quantum processes | 59 |

ηtoolbox | 79 |

Experiments on quantum coherence with cold atoms | 114 |

Dynamical entanglement of threelevel atoms | 128 |

PPT states and measures of entanglement | 143 |

Entanglement via nilpotent polynomials | 156 |

Sudden death and sudden birth of entanglement | 179 |

Open system dynamics of simple collision models | 199 |

AUTHOR INDEX | 229 |

### Common terms and phrases

77-function algebra antisymmetric assembly asymptotic atoms basis bipartite bound entangled canonic channels characterization classical coherence collision model completely positive maps composite system concurrence consider convex corresponding coupling decoherence deﬁned denotes density matrix density operator described diagonal distillable eigenvalues elements entanglement evolution entanglement witness entropy environment example excited factor ﬁnd finite ﬁrst function given Hamiltonian hermitian Hilbert space Horodecki initial interaction invariants Kossakowski Let us note Lett magnetic field Markovian master equation Math Md(C nilpotent nilpotent polynomials nilpotent variables nilpotential open quantum systems parameters partial swap partial transposition Phys Physics properties pure quantum channel quantum computation quantum dynamical quantum entanglement quantum information quantum memory quantum systems qubits qutrits semigroup separable stationary subsystems symmetric tanglemeter temperature tensor product Theorem theory thermal reservoir thermodynamics transformations unitary operators vacuum vector