10.1k citations · 13.3k across the 91 of their papers we have counts for
6 papers · 2 filters
Systems of Imprimitivity for the Clifford Group
D. M. Appleby, Ingemar Bengtsson, Stephen Brierley +3
It is known that if the dimension is a perfect square the Clifford group can be represented by monomial matrices. Another way of expressing this result is to say that when the dime…
Gleason, Kochen-Specker, and a competition that never was
Ingemar Bengtsson
I review the two theorems referred to in the title, and then suggest that it would be interesting to know how much of Hilbert space one can use without forcing the proof of these t…
Dissecting the qutrit
Gniewomir Sarbicki, Ingemar Bengtsson
To visualize a higher dimensional object it is convenient to consider its two-dimensional cross-sections. The set of quantum states for a three level system has eight dimensions. W…
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…
How much complementarity?
Ingemar Bengtsson
Bohr placed complementary bases at the mathematical centre point of his view of quantum mechanics. On the technical side then my question translates into that of classifying comple…
A remarkable representation of the Clifford group
Ingemar Bengtsson
The finite Heisenberg group knows when the dimension of Hilbert space is a square number. Remarkably, it then admits a representation such that the entire Clifford group --- the au…