84 citations · 970 across the 84 of their papers we have counts for
45 papers · 1 filter
Character varieties and algebraic surfaces for the topology of quantum computing
Michel Planat, Marcelo M. Amaral, Fang Fang +3
It is shown that the representation theory of some finitely presented groups thanks to their character variety is related to algebraic surfaces. We make use of t…
The Poincaré half-plane for informationally complete POVMs
Michel Planat
It has been shown that classes of (minimal asymmetric) informationally complete POVMs in dimension d can be built using the multiparticle Pauli group acting on appropriate fiducial…
Magic informationally complete POVMs with permutations
Michel Planat, Zafer Gedik
Eigenstates of permutation gates are either stabilizer states (for gates in the Pauli group) or magic states, thus allowing universal quantum computation [M. Planat and Rukhsan-Ul-…
The magic of universal quantum computing with permutations
Michel Planat, Rukhsan-Ul-Haq
The role of permutation gates for universal quantum computing is investigated. The \lq magic' of computation is clarified in the permutation gates, their eigenstates, the Wootters…
Two-letter words and a fundamental homomorphism ruling geometric contextuality
Michel Planat
It has recently been recognized by the author that the quantum contextuality paradigm may be formulated in terms of the properties of some subgroups of the two-letter free group $G…
Zoology of Atlas-groups: dessins d'enfants, finite geometries and quantum commutation
Michel Planat, Hishamuddin Zainuddin
Every finite simple group P can be generated by two of its elements. Pairs of generators for P are available in the Atlas of finite group representations as (not neccessarily minim…