scholarly journals Finite groups of essential dimension 2

2013 ◽  
Vol 88 (3) ◽  
pp. 555-585 ◽  
Author(s):  
Alexander Duncan
2021 ◽  
pp. 749-769
Author(s):  
Zinovy Reichstein ◽  
Federico Scavia

2002 ◽  
Vol 2 (2) ◽  
pp. 133-150
Author(s):  
P. Wocjan ◽  
M. Rotteler ◽  
D. Janzing ◽  
T. Beth

Any quantum system with a non-trivial Hamiltonian is able to simulate any other Hamiltonian evolution provided that a sufficiently large group of unitary control operations is available. We show that there exist finite groups with this property and present a sufficient condition in terms of group characters. We give examples of such groups in dimension 2 and 3. Furthermore, we show that it is possible to simulate an arbitrary bipartite interaction by a given one using such groups acting locally on the subsystems.


2018 ◽  
Vol 356 (5) ◽  
pp. 463-467
Author(s):  
Zinovy Reichstein ◽  
Angelo Vistoli

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