Quantum 2025 – scientific programme
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MON: Monday Contributed Sessions
MON 9: Quantum Entanglement
MON 9.5: Talk
Monday, September 8, 2025, 15:15–15:30, ZHG101
Chiral Symmetries of Multiparticle Entanglement — •Sophia Denker1, Satoya Imai2, and Otfried Gühne1 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany — 2QSTAR, INOCNR, and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy
Symmetries play a central role in physics. Particularly in entanglement theory many works investigate the separability of states with certain symmetries. However, while in bipartite systems quantum states can show symmetric or antisymmetric behavior, when exploring multipartite systems also quantum states with chiral symmetries can appear.
In this work we investigate chiral subspaces with respect to their entanglement properties. Starting with the case of three qubits we show that these subspaces are highly entangled with respect to their geometric measure of entanglement and are further related to measurements that are useful to estimate entanglement. We then consider these spaces in higher dimensions and define operators related to the structure constants of Lie algebras whose eigenspace coincides with the sum of those chiral subspaces. These operators act as strong entanglement witnesses, which can detect genuine multipartite entangled states with positive partial transpose. Moreover, while we find that these operators are sums of permutations and therefore invariant under unitary transformations, we further translate those operators to sums of permutations and their partial transposed leading to subspaces invariant under orthogonal transformations, which are even more entangled.
Keywords: symmetries; entanglement; subspaces; entanglement witnesses