Local unitary classes of states invariant under permutation subgroups
Quantum Physics
2022-04-01 v4
Abstract
The study of entanglement properties of multi-qubit states that are invariant under permutations of qubits is motivated by potential applications in quantum computing, quantum communication, and quantum metrology. In this work, we generalize the notions of symmetrization, Dicke states, and the Majorana representation to the alternating, cyclic, and dihedral subgroups of the full group of permutations. We use these tools to characterize states that are invariant under these subgroups and analyze their entanglement properties.
Keywords
Cite
@article{arxiv.2109.06921,
title = {Local unitary classes of states invariant under permutation subgroups},
author = {David W. Lyons and Jesse R. Arnold and Ashley F. Swogger},
journal= {arXiv preprint arXiv:2109.06921},
year = {2022}
}
Comments
(there are no changes in the article from version 3 to version 4, only corrections to typos in the comments field) Corrected comments: version 3 has two corrected citations and some minor edits, 14 pages, 5 figures