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quant-ph2023★ 3 cited
Clifford group is not a semidirect product in dimensions divisible by four
Miroslav Korbelář, Jiří Tolar
The paper is devoted to projective Clifford groups of quantum -dimensional systems. Clearly, Clifford gates allow only the simplest quantum computations which can be simulated o…
math.RA2023
Congruence-simple matrix semirings
Vítězslav Kala, Tomáš Kepka, Miroslav Korbelář
It is well known that the full matrix ring over a skew-field is a simple ring. We generalize this theorem to the case of semirings. We characterize the case when the matrix semirin…