Hansenne, Kiara

Preferred name
Hansenne, Kiara
Email
kiara.hansenne@uni-siegen.de
ORCID

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    PublicationAccess status: Metadata only ,
    Covariance-Matrix-Based Criteria for Network Entanglement
    (2023)
    Hansenne, Kiaraorcid-logo
    ;
    Gühne, Otfriedorcid-logo
    Quantum networks offer a realistic and practical scheme for generating multipArticle entanglement and implementing multipArticle quantum communication protocols. However, the correlations that can be generated in networks with quantum sources and local operations are not yet well understood. Covariance matrices, which are powerful tools in entanglement theory, have been also applied to the network scenario. We present simple proofs for the decomposition of such matrices into the sum of positive semi-definite block matrices and, based on that, develop analytical and computable necessary criteria for preparing states in quantum networks. These criteria can be applied to networks where nodes share at most one source, such as all bipartite networks.
    Source Type:Article
    DOI:10.3390/e25091260
      3
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    PublicationAccess status: Open Access ,
    Symmetries in quantum networks lead to no-go theorems for entanglement distribution and to verification techniques
    (2022)
    Hansenne, Kiaraorcid-logo
    ;
    Xu, Zhen-Peng
    ;
    Kraft, Tristan
    ;
    Gühne, Otfriedorcid-logo
    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. Here 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 or fermionic symmetry can not be generated in networks; moreover, cluster and graph states are not accessible. Our methods can be used to design certification methods for the functionality of specific links in a network and have implications for the design of future network structures.
    Source Type:Article
    DOI:10.25819/ubsi/10236
      191  86