Quantum entangling power of adiabatically connected hamiltonians

Physics – Quantum Physics

Scientific paper

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5 pages, LaTeX, 2 eps figures included. Several non minor changes made (thanks referee) Version to appear in the PRA

Scientific paper

10.1103/PhysRevA.69.062319

The space of quantum Hamiltonians has a natural partition in classes of operators that can be adiabatically deformed into each other. We consider parametric families of Hamiltonians acting on a bi-partite quantum state-space. When the different Hamiltonians in the family fall in the same adiabatic class one can manipulate entanglement by moving through energy eigenstates corresponding to different value of the control parameters. We introduce an associated notion of adiabatic entangling power. This novel measure is analyzed for general $d\times d$ quantum systems and specific two-qubits examples are studied

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