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QI: Fachverband Quanteninformation
QI 3: Quantum Information and Foundations I
QI 3.3: Talk
Monday, September 20, 2021, 15:00–15:15, H4
Symmetries in quantum networks — •Kiara Hansenne1, Zhen-Peng Xu1, Tristan Kraft1,2, and Otfried Guehne1 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany — 2Institut für Theoretische Physik, Universität Innsbruck, Austria
Quantum networks are promising tools for the implementation of long-range quantum communication. The characterization of quantum correlations in networks and their usefulness for information processing is therefore central for the progress of the field, but so far only results for small basic network structures or pure quantum states are known. In this contribution, we show that symmetries provide a versatile tool for the analysis of correlations in quantum networks. We provide an analytical approach to characterize correlations in large network structures with arbitrary topologies. As examples, we show that entangled quantum states with a bosonic symmetry can not be generated in networks; moreover, cluster and graph states are not accessible either. Our results allow us to design certification methods for the functionality of specific links and have direct implications for the design of future network structures.