Generic Incomparability of Infinite-Dimensional Entangled States

Abstract

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.

3 pages, final published version, minor adjustments

References in corpus (2)

• Entanglement-assisted local manipulation of pure quantum states
• Bipartite Mixed States of Infinite-Dimensional Systems are Generically Nonseparable

Cited by in corpus (1)

• Generic aspects of the resource theory of quantum coherence