37 citations · 193 across the 19 of their papers we have counts for
20 papers
Werner states from diagrams
David W. Lyons, Cristina Mullican, Adam Rilatt +1
We present two results on multiqubit Werner states, defined to be those states that are invariant under the collective action of any given single-qubit unitary that acts simultaneo…
An Elementary Introduction to the Hopf Fibration
David W. Lyons
The Hopf fibration is an important object in mathematics and physics. A landmark discovery in topology and a fundamental object in the theory of Lie groups, the Hopf fibration has…
Local unitary classes of states invariant under permutation subgroups
David W. Lyons, Jesse R. Arnold, Ashley F. Swogger
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 comm…
Finite-Function-Encoding Quantum States
Paul Appel, Alexander J. Heilman, Ezekiel W. Wertz +4
We introduce finite-function-encoding (FFE) states which encode arbitrary -valued logic functions, i.e., multivariate functions over the ring of integers modulo , and investi…
Local Pauli stabilizers of symmetric hypergraph states
David W. Lyons, Nathaniel P. Gibbons, Mark A. Peters +3
Hypergraph states of many quantum bits share the rich interplay between simple combinatorial description and nontrivial entanglement properties enjoyed by the graph states that the…
Local unitary symmetries of hypergraph states
David W. Lyons, Daniel J. Upchurch, Scott N. Walck +1
Hypergraph states are multiqubit states whose combinatorial description and entanglement properties generalize the well-studied class of graph states. Graph states are important in…