Cut-resistant links and multipartite entanglement resistant to particle loss
; André, R.
; Burchardt, A.
; Życzkowski, K.
Physical Review A Vol. 100, Nº 6, pp. 062329 - 062329, December, 2019.
ISSN (print): 2469-9926
Scimago Journal Ranking: 1,42 (in 2019)
Digital Object Identifier: 10.1103/PhysRevA.100.062329
In this work, we explore the space of quantum states composed of
particles. To investigate entanglement resistant to particle loss, we introduce the notion of
-resistant states. A quantum state is
resistant if it remains entangled after losing an arbitrary subset of
particles but becomes separable after losing any number of particles larger than
. We establish an analogy to the problem of designing a topological link consisting of
rings such that, after cutting any
of them, the remaining rings become disconnected. We present a constructive solution to this problem, which allows us to exhibit several
-particle states with the desired property of entanglement resistance to particle loss.