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Universal Simulation of Hamiltonians Using a Finite Set of Control Operations

Pawel Wocjan·Martin Roetteler·Dominik Janzing·Thomas Beth
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Abstract

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.

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Pawel Wocjan, Martin Roetteler, Dominik Janzing, Thomas Beth. 2001-09-13. Universal Simulation of Hamiltonians Using a Finite Set of Control Operations. https://arxiv.org/abs/quant-ph/0109063

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