Universal Simulation of Hamiltonians Using a Finite Set of Control Operations

Details Universal Simulation of Hamiltonians Using a Finite Set of Control Operations Universal Simulation of Hamiltonians Using a Finite Set of Control Operations

2001-09-13

arxiv.org/abs/quant-ph/0109063v1

Physics

Quantum Physics

18 pages, LaTeX2e

Scientific paper

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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