895 citations · 1k across the 8 of their papers we have counts for
5 papers · 1 filter
Quantification and manipulation of magic states
Mehdi Ahmadi, Hoan Bui Dang, Gilad Gour +1
Magic states can be used as a resource to circumvent the restrictions due to stabilizer-preserving operations, and magic-state conversion has not been studied in the single-copy re…
Studies of symmetries that give special quantum states the "right to exist"
Hoan Bui Dang
In this thesis we study symmetric structures in Hilbert spaces known as symmetric informationally complete positive operator-valued measures (SIC-POVMs), mutually unbiased bases (M…
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…
Galois Unitaries, Mutually Unbiased Bases, and MUB-balanced states
D. M. Appleby, Ingemar Bengtsson, Hoan Bui Dang
A Galois unitary is a generalization of the notion of anti-unitary operators. They act only on those vectors in Hilbert space whose entries belong to some chosen number field. For…
Symmetric Informationally-Complete Quantum States as Analogues to Orthonormal Bases and Minimum-Uncertainty States
D. M. Appleby, Hoan Bui Dang, Christopher A. Fuchs
Since Renes et al. [J. Math. Phys. 45, 2171 (2004)], there has been much effort in the quantum information community to prove (or disprove) the existence of symmetric informational…