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arXiv:2509.05972 · Quantum Studies Mathematics and Foundations

Symmetric and asymmetric tripartite states under the lens of entanglement splitting and topological linking

Sougata Bhattacharyya, Sovik Roy

Published Mar 12, 2026• 0 citations
arXivHTMLPDF
DOI
10.1007/s40509-026-00390-1

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The fully symmetric Gaussian tripartite entangled pure states will not exhibit two-mode Einstein-Podolsky-Rosen (EPR) steering. This means that any two participants cannot share quantum secrets using the security of one-sided device independent quantum key distribution (1SDI-QKD) without involving the third. They are restricted at most to standard quantum key distribution, which is less secure. Here we demonstrate an asymmetric tripartite system that can exhibit bipartite EPR steering, so that two of the participants can use 1SDI-QKD without involving the other. This is possible because the promiscuity relations of continuous-variable tripartite entanglement are different from those of discrete-variable systems. We analyze these properties for two different systems, showing that the asymmetric system exhibits practical properties not found in the symmetric one.