TY - GEN
T1 - Quantum Simultaneous Protocols Without Public Coins Using Modified Equality Queries
AU - Gall, François Le
AU - Nadler, Oran
AU - Nishimura, Harumichi
AU - Oshman, Rotem
N1 - Publisher Copyright: © François Le Gall, Oran Nadler, Harumichi Nishimura, and Rotem Oshman.
PY - 2025/1/8
Y1 - 2025/1/8
N2 - In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This was already known for two players, but not for more than two players, and indeed, so far all that was known was a negative result. Our main technical contribution is a compiler that takes any classical public-coin simultaneous protocol based on "modified equality queries,"and converts it into a quantum simultaneous protocol without public coins with roughly the same communication complexity. We then use our compiler to derive protocols for several problems, including frequency moments, neighborhood diversity, enumeration of isolated cliques, and more.
AB - In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This was already known for two players, but not for more than two players, and indeed, so far all that was known was a negative result. Our main technical contribution is a compiler that takes any classical public-coin simultaneous protocol based on "modified equality queries,"and converts it into a quantum simultaneous protocol without public coins with roughly the same communication complexity. We then use our compiler to derive protocols for several problems, including frequency moments, neighborhood diversity, enumeration of isolated cliques, and more.
KW - SMP model
KW - multi-party communication
KW - quantum distributed algorithms
UR - http://www.scopus.com/inward/record.url?scp=85215943900&partnerID=8YFLogxK
U2 - 10.4230/LIPIcs.OPODIS.2024.34
DO - 10.4230/LIPIcs.OPODIS.2024.34
M3 - منشور من مؤتمر
T3 - Leibniz International Proceedings in Informatics, LIPIcs
BT - 28th International Conference on Principles of Distributed Systems, OPODIS 2024
A2 - Bonomi, Silvia
A2 - Galletta, Letterio
A2 - Riviere, Etienne
A2 - Schiavoni, Valerio
PB - Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
T2 - 28th International Conference on Principles of Distributed Systems, OPODIS 2024
Y2 - 11 December 2024 through 13 December 2024
ER -