Physics – Quantum Physics
Scientific paper
2003-06-04
J.Phys.A37:5887-5893,2004
Physics
Quantum Physics
8 pages, 1 figure. v2: main result unchanged but presentation extensively changed. v3: figure added, minor corrections
Scientific paper
10.1088/0305-4470/37/22/013
Ordering physical states is the key to quantifying some physical property of the states uniquely. Bipartite pure entangled states are totally ordered under local operations and classical communication (LOCC) in the asymptotic limit and uniquely quantified by the well-known entropy of entanglement. However, we show that mixed entangled states are partially ordered under LOCC even in the asymptotic limit. Therefore, non-uniqueness of entanglement measure is understood on the basis of an operational notion of asymptotic convertibility.
França Santos Marcelo
Morikoshi Fumiaki
Vedral Vlatko
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