6533b826fe1ef96bd1283af4
RESEARCH PRODUCT
false
subject
Pure mathematics010308 nuclear & particles physicsOperator (physics)Structure (category theory)General Physics and Astronomy01 natural sciencesPermutationDimension (vector space)Modular group0103 physical sciencesPauli groupCongruence (manifolds)010306 general physicsEigenvalues and eigenvectorsMathematicsdescription
It has been shown in previous papers that classes of (minimal asymmetric) informationally-complete positive operator valued measures (IC-POVMs) in dimension d can be built using the multiparticle Pauli group acting on appropriate fiducial states. The latter states may also be derived starting from the Poincare upper half-plane model H . To do this, one translates the congruence (or non-congruence) subgroups of index d of the modular group into groups of permutation gates, some of the eigenstates of which are the sought fiducials. The structure of some IC-POVMs is found to be intimately related to the Kochen-Specker theorem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-12-31 | Entropy |