Catalysis lowers the exact asymptotic entanglement cost for preparing multiple copies of a quantum state via an explicit protocol.
Vidal, On the continuity of asymptotic measures of en- tanglement (2002), arXiv:quant-ph/0203107 [quant-ph]
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Catalytic advantage in asymptotic entanglement manipulation
Catalysis lowers the exact asymptotic entanglement cost for preparing multiple copies of a quantum state via an explicit protocol.