Local unitary classes of states invariant under permutation subgroups

• URL: http://arxiv.org/abs/2109.06921v4
• Date: Wed, 30 Mar 2022 18:07:34 GMT
• Title: Local unitary classes of states invariant under permutation subgroups
• Authors: David W. Lyons, Jesse R. Arnold, Ashley F. Swogger
• Abstract summary: 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. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• 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.

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