Citation Link: https://doi.org/10.1088/1751-8121/aceecc
Seven definitions of bipartite bound entanglement
Publication Type
Article
Author(s)
Subjects
Quantum entanglement
Bipartite graph
Upper and lower bounds
Entanglement distillation
State (computer science)
Squashed entanglement
Order (exchange)
LOCC
Mathematics
W state
Quantum
Computer science
Discrete mathematics
Quantum mechanics
Physics
Algorithm
Date Issued
2023
Abstract
An entangled state is bound entangled if one cannot combine any number of copies of the state to a maximally entangled state by using only local operations and classical communication. If one formalizes this notion of bound entanglement, one arrives immediately at four different definitions. In addition, at least three more definitions are commonly used in the literature, in particular in the very first paper on bound entanglement. Here we review critical distillation protocols and we examine how different results from quantum information theory interact in order to prove that all seven definitions are eventually equivalent. Our self-contained analysis unifies and extends previous results scattered in the literature and reveals details of the structure of bound entanglement.
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