scholarly journals Finite groups of essential dimension 2

2013 ◽  
Vol 88 (3) ◽  
pp. 555-585 ◽  
Author(s):  
Alexander Duncan
Keyword(s):  
Finite Groups ◽  
Essential Dimension ◽  
Dimension 2

scholarly journals Essential dimension of extensions of finite groups by tori

2021 ◽  
pp. 749-769
Author(s):  
Zinovy Reichstein ◽  
Federico Scavia
Keyword(s):  
Finite Groups ◽  
Essential Dimension

scholarly journals Universal simulation of Hamiltonians using a finite set of control operations

2002 ◽  
Vol 2 (2) ◽  
pp. 133-150
Author(s):  
P. Wocjan ◽  
M. Rotteler ◽  
D. Janzing ◽  
T. Beth
Keyword(s):  
Quantum System ◽  
Finite Groups ◽  
Sufficient Condition ◽  
Large Group ◽  
Group Characters ◽  
Finite Set ◽  
Dimension 2 ◽  
Hamiltonian Evolution

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.

scholarly journals Essential dimension of finite groups in prime characteristic

2018 ◽  
Vol 356 (5) ◽  
pp. 463-467
Author(s):  
Zinovy Reichstein ◽  
Angelo Vistoli
Keyword(s):  
Finite Groups ◽  
Prime Characteristic ◽  
Essential Dimension
Sign in / Sign up

Export Citation Format

Share Document