No-Concentrating Theorem of Pure Entangled States

Details No-Concentrating Theorem of Pure Entangled States No-Concentrating Theorem of Pure Entangled States

1999-10-05

arxiv.org/abs/quant-ph/9910018v2

Physics

Quantum Physics

4 Pages, no Figure, REVTeX. Minor changes in proof, result unchanged

Scientific paper

Suppose two distant observers Alice and Bob share a pure biparticle entangled state secretly chosen from a set, it is shown that Alice (Bob) can probabilistic concentrate the state to a maximally entangled state by applying local operations and classical communication (LQCC) if and only if the states in the set share the same marginal density operator for her (his) subsystem. Applying this result, we present probabilistic superdense coding and show that perfect purification of mixed state is impossible using only LQCC on individual particles.

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