All graph state verification protocols are composably secure - Sorbonne Université Access content directly
Preprints, Working Papers, ... Year : 2024

All graph state verification protocols are composably secure

Abstract

Graph state verification protocols allow multiple parties to share a graph state while checking that the state is honestly prepared, even in the presence of malicious parties. Since graph states are the starting point of numerous quantum protocols, it is crucial to ensure that graph state verification protocols can safely be composed with other protocols, this property being known as composable security. Previous works [YDK21] conjectured that such a property could not be proven within the abstract cryptography framework: we disprove this conjecture by showing that all graph state verification protocols can be turned into a composably secure protocol with respect to the natural functionality for graph state preparation. Moreover, we show that any unchanged graph state verification protocols can also be considered as composably secure for a slightly different, yet useful, functionality. Finally, we show that these two results are optimal, in the sense that any such generic result, considering arbitrary black-box protocols, must either modify the protocol or consider a different functionality. Along the way, we show a protocol to generalize entanglement swapping to arbitrary graph states that might be of independent interest.
Fichier principal
Vignette du fichier
2402.01445.pdf (3.09 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04519928 , version 1 (25-03-2024)

Identifiers

Cite

Léo Colisson, Damian Markham, Raja Yehia. All graph state verification protocols are composably secure. 2024. ⟨hal-04519928⟩
24 View
34 Download

Altmetric

Share

Gmail Facebook X LinkedIn More