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Trade-off between multiple-copy transformation and entanglement catalysis

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arxiv quant-ph/0312010 v6 pith:VFPKE3BR submitted 2003-12-01 quant-ph

Trade-off between multiple-copy transformation and entanglement catalysis

classification quant-ph
keywords catalystentanglementstatetransformationscopiesmultiple-copytrade-offbipartite
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We demonstrate that multiple copies of a bipartite entangled pure state may serve as a catalyst for certain entanglement transformations while a single copy cannot. Such a state is termed a "multiple-copy catalyst" for the transformations. A trade-off between the number of copies of source state and that of the catalyst is also observed. These results can be generalized to probabilistic entanglement transformations directly.

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