Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session Q70: Quantum Network Algorithms and Analysis
3:00 PM–6:00 PM,
Wednesday, March 8, 2023
Room: Room 409
Sponsoring
Unit:
DQI
Chair: David Bernal Neira, USRA - Univ Space Rsch Assoc
Abstract: Q70.00014 : Multipartite Nonlocality in Clifford Networks*
5:36 PM–5:48 PM
Presenter:
Amanda Gatto Lamas
(University of Illinois at Urbana-Champaign)
Authors:
Amanda Gatto Lamas
(University of Illinois at Urbana-Champaign)
Eric A Chitambar
(University of Illinois at Urbana-Champaign)
Our main result is that networks limited strictly to pure stabilizer states and Clifford gates cannot generate network nonlocality. We prove this by constructing a local model that reproduces the statistics of these Clifford networks. Additionally, we show that (a) Bipartite entanglement can generate all forms of N-party network nonlocality using post-selection, including those that can be achieved by measuring across k-partite (k<N) entangled states; and (b) Different kinds of nonlocality can be achieved by making different relaxations on our Clifford network model.
This work serves as a guide for identifying the resources needed to produce different forms of nonlocality. It also sheds new light on the broader question of what types of networks can generate disguised Bell nonlocality, as opposed to genuine network nonlocality, by showing that all known approaches for generating the latter require some form of non-Clifford operation.
*This material is based upon work supported by the U.S. Department of Energy Office of Science National Quantum Information Science Research Centers.
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