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Quantum Algorithms
Local unitary classes of states invariant under permutation subgroups
arXiv
Authors: David W. Lyons, Jesse R. Arnold, Ashley F. Swogger
Year
2021
Paper ID
61546
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
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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.
Why This Paper Matters
- It adds a 2021 reference point for readers tracking recent quantum research.
- 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...
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