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arXiv · 0904.2048

Necessary conditions on entanglement catalysts

Yuval Sanders·Gilad Gour
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Abstract

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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Yuval Sanders, Gilad Gour. 2009-04-14. Necessary conditions on entanglement catalysts. https://doi.org/10.1103/physreva.79.054302

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