Subsystem Purity as an Enforcer of Entanglement

Physics – Quantum Physics

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.87.050401

We show that entanglement can always arise in the interaction of an arbitrarily large system in any mixed state with a single qubit in a pure state. This small initial purity is enough to enforce entanglement even when the total entropy is close to maximum. We demonstrate this feature using the Jaynes-Cummings interaction of a two level atom in a pure state with a field in a thermal state at an arbitrarily high temperature. We find the time and temperature variation of a lower bound on the amount of entanglement produced and study the classical correlations quantified by the mutual information.

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