Phys. Rev. A 79, 054302 (2009) [4 pages]Necessary conditions for entanglement catalystsReceived 23 January 2009; published 6 May 2009 Given a pure state transformation ψ↦ϕ 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 generalized 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.054302
DOI:
10.1103/PhysRevA.79.054302
PACS:
03.67.Mn, 03.67.Hk, 03.65.Ud
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