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Cut-resistant links and multipartite entanglement resistant to particle loss

Quinta, G ; André, R. ; Burchardt, A. ; Życzkowski, K.

Physics Review A Vol. 100, Nº 6, pp. 062329 - 062329, December, 2019.

ISSN (print): 2469-9926
ISSN (online):

Journal Impact Factor: (in )

Digital Object Identifier: 10.1103/PhysRevA.100.062329

Abstract
In this work, we explore the space of quantum states composed of
N
particles. To investigate entanglement resistant to particle loss, we introduce the notion of
m
-resistant states. A quantum state is
m
resistant if it remains entangled after losing an arbitrary subset of
m
particles but becomes separable after losing any number of particles larger than
m
. We establish an analogy to the problem of designing a topological link consisting of
N
rings such that, after cutting any
(
m
+
1
)
of them, the remaining rings become disconnected. We present a constructive solution to this problem, which allows us to exhibit several
N
-particle states with the desired property of entanglement resistance to particle loss.