TY - GEN
T1 - Quantum secret sharing and tripartite information
AU - Liu, Guangkuo
AU - Wu, Peixue
AU - Kim, Haneul
AU - Junge, Marius
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - We develop a connection between tripartite information I3, quantum secret sharing protocols and multi-unitaries. This leads to a general framework of constructing ((2, 3)) threshold schemes in arbitrary dimension. As an application, we propose a class of random codes generated by Haar-distributed random unitaries, in which all states have bounded tripartite information with high probability. Moreover, using the I3 criteria for imperfect sharing schemes, we discover examples of VIP secret sharing schemes.
AB - We develop a connection between tripartite information I3, quantum secret sharing protocols and multi-unitaries. This leads to a general framework of constructing ((2, 3)) threshold schemes in arbitrary dimension. As an application, we propose a class of random codes generated by Haar-distributed random unitaries, in which all states have bounded tripartite information with high probability. Moreover, using the I3 criteria for imperfect sharing schemes, we discover examples of VIP secret sharing schemes.
UR - http://www.scopus.com/inward/record.url?scp=85171420784&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85171420784&partnerID=8YFLogxK
U2 - 10.1109/ISIT54713.2023.10206477
DO - 10.1109/ISIT54713.2023.10206477
M3 - Conference contribution
AN - SCOPUS:85171420784
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1931
EP - 1936
BT - 2023 IEEE International Symposium on Information Theory, ISIT 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 IEEE International Symposium on Information Theory, ISIT 2023
Y2 - 25 June 2023 through 30 June 2023
ER -