Universal Simulation of Hamiltonians Using a Finite Set of Control Operations
<|reference_start|>Universal Simulation of Hamiltonians Using a Finite Set of Control Operations: 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.<|reference_end|>
@article{wocjan2001universal,
    title={Universal Simulation of Hamiltonians Using a Finite Set of Control
  Operations},
    author={Pawel Wocjan, Martin Roetteler, Dominik Janzing, Thomas Beth
  (Universitaet Karlsruhe)},
    journal={Quantum Information & Computation 2(2): 133-150, 2002},
    year={2001},
    archivePrefix={arXiv},
    eprint={quant-ph/0109063},
    primaryClass={quant-ph cs.ET}
}