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Partition "large" black holes into seven inequivalent families

Dafa LiMaggie ChengXiongrong LiShuwang Li
Dec 2022
摘要
In [Phys. Rev. Lett. 105, 100507 (2010)], Borsten et al. derived 31entanglement families of four qubits by using the black-hole vs. qubitcorrespondence, which can be reduced to nine up to permutation of the fourqubits under stochastic local operations and classical communication (SLOCC).In this paper, we investigate the classification of "large" black holes byusing the local unitary operator (LU) entanglement classification of threequbits. We relate the LU entanglement classes of the GHZ SLOCC class of threequbits to different classes of "large" black holes. Thus, we partition "large"black holes into seven inequivalent families. We show that between two blackholes with four non-vanishing charges $q_{0}$, $p^{1}$, $p^{2}$, and $p^{3}$,if the only difference is the signs of the charges, then they are LUequivalent. Thus, the partition of black holes is independent of the signs ofthe charges and is only related to the ratio of the absolute charges.
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