37 citations · 67 across the 3 of their papers we have counts for
7 papers
States that are far from being stabilizer states
David Andersson, Ingemar Bengtsson, Kate Blanchfield +1
Stabilizer states are eigenvectors of maximal commuting sets of operators in a finite Heisenberg group. States that are far from being stabilizer states include magic states in qua…
Order 3 Symmetry in the Clifford Hierarchy
Ingemar Bengtsson, Kate Blanchfield, Earl Campbell +1
We investigate the action of the first three levels of the Clifford hierarchy on sets of mutually unbiased bases comprising the Ivanovic MUB and the Alltop MUBs. Vectors in the All…
Orbits of mutually unbiased bases
Kate Blanchfield
We express Alltop's construction of mutually unbiased bases as orbits under the Weyl-Heisenberg group in prime dimensions and find a related construction in dimensions 2 and 4. We…
Linear Dependencies in Weyl-Heisenberg Orbits
Hoan Bui Dang, Kate Blanchfield, Ingemar Bengtsson +1
Five years ago, Lane Hughston showed that some of the symmetric informationally complete positive operator valued measures (SICs) in dimension 3 coincide with the Hesse configurati…
Proposed experiments of qutrit state-independent contextuality and two-qutrit contextuality-based nonlocality
Adan Cabello, Elias Amselem, Kate Blanchfield +2
Recent experiments have demonstrated ququart state-independent quantum contextuality and qutrit state-dependent quantum contextuality. So far, the most basic form of quantum contex…
A Kochen-Specker inequality from a SIC
Ingemar Bengtsson, Kate Blanchfield, Adan Cabello
Yu and Oh [1] have given a state independent proof of the Kochen-Specker theorem in three dimensions using only 13 rays. The proof consists of showing that a non-contextual hidden…