Necessary conditions on entanglement catalysts

Physics – Quantum Physics

Scientific paper

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Brief Report, 4 pages, accepted in PRA

Scientific paper

10.1103/PhysRevA.79.054302

Given a pure state transformation $\psi\mapsto\phi$ restricted to entanglement-assisted local operations with classical communication, we determine a lower bound for the dimension of a catalyst allowing that transformation. Our bound is stated in terms of the generalised concurrence monotones (the usual concurrence of two qubits is one such monotone). We further provide tools for deriving further conditions upon catalysts of pure state transformations.

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