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Three Party Quantum Networks Created by Quantum Cloning | | Manish Kumar Shukla
; Minyi Huang
; Indranil Chakrabarty
; Junde Wu
; | | Date: |
15 Nov 2020 | | Abstract: | With progress in quantum technologies, the field of quantum networks has
emerged as an important area of research. In the last few years, there has been
substantial progress in understanding the correlations present in quantum
networks. In this article, we study cloning as a prospective method to generate
three party quantum networks which can be further used to create larger
networks. We analyze various quantum network topologies that can be created
using cloning transformations. This would be useful in the situations wherever
the availability of entangled pairs is limited. In addition to that we focus on
the problem of distinguishing networks created by cloning from those which are
created by distributing independently generated entangled pairs. We find that
there are several states which cannot be distinguished using the Finner
inequalities in the standard way. For such states, we propose an extension to
the existing Finner inequality for triangle networks by further increasing the
number of observers from three to four or six depending on the network
topology. This takes into account the additional correlations that exist in the
case of cloned networks. In the last part of the article we have used
tripartite mutual information to distinguish cloned networks from networks
created by independent sources and have further used squashed entanglement as a
measure to quantify the amount of dependence in the cloned networks. | | Source: | arXiv, 2011.07554 | | Services: | Forum | Review | PDF | Favorites | |
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