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arxiv: quant-ph/0205063 · v2 · submitted 2002-05-12 · 🪐 quant-ph

Generic Incomparability of Infinite-Dimensional Entangled States

classification 🪐 quant-ph
keywords statesentangledgenericinfinite-dimensionalclassicalcommunicationconjectureentanglement
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In support of a recent conjecture by Nielsen (1999), we prove that the phenomena of 'incomparable entanglement'--whereby, neither member of a pair of pure entangled states can be transformed into the other via local operations and classical communication (LOCC)--is a generic feature when the states at issue live in an infinite-dimensional Hilbert space.

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