37 citations · 81 across the 6 of their papers we have counts for
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Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group
David W. Lyons, Scott N. Walck
We classify, up to local unitary equivalence, the set of -qubit states that is stabilized by the diagonal subgroup of the local unitary group. We exhibit a basis for this set, p…
Classification of nonproduct states with maximum stabilizer dimension
David W. Lyons, Scott N. Walck, Stephanie A. Blanda
Nonproduct n-qubit pure states with maximum dimensional stabilizer subgroups of the group of local unitary transformations are precisely the generalized n-qubit Greenberger-Horne-Z…
Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices
Scott N. Walck, David W. Lyons
The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only states of n qubits that are not uniquely determined among pure sta…
Maximum stabilizer dimension for nonproduct states
Scott N. Walck, David W. Lyons
Composite quantum states can be classified by how they behave under local unitary transformations. Each quantum state has a stabilizer subgroup and a corresponding Lie algebra, the…
Minimum orbit dimension for local unitary action on n-qubit pure states
David W. Lyons, Scott N. Walck
The group of local unitary transformations partitions the space of n-qubit quantum states into orbits, each of which is a differentiable manifold of some dimension. We prove that a…