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Title: Entanglement of random hypergraph states
Authors: Zhou, You
Hamma, Alioscia
Keywords: Science::Physics
Issue Date: 2022
Source: Zhou, Y. & Hamma, A. (2022). Entanglement of random hypergraph states. Physical Review A, 106(1), 012410-1-012410-17.
Project: NRF2017-NRFANR004 VanQuTe
Journal: Physical Review A 
Abstract: Random quantum states and operations are of fundamental and practical interests. In this work, we investigate the entanglement properties of random hypergraph states, which generalize the notion of graph states by applying generalized controlled-phase gates on an initial reference product state. In particular, we study the two ensembles generated by random Controlled-Z(CZ) and Controlled-Controlled-Z(CCZ) gates, respectively. By applying tensor network representation and combinational counting, we analytically show that the average subsystem purity and entanglement entropy for the two ensembles feature the same volume law, but greatly differ in typicality, namely the purity fluctuation is small and universal for the CCZ ensemble while it is large for the CZ ensemble. We discuss the implications of these results for the onset of entanglement complexity and quantum chaos.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.106.012410
Schools: School of Physical and Mathematical Sciences 
Research Centres: Nanyang Quantum Hub
Rights: © 2022 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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