Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions

Details Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions

2011-10-17

arxiv.org/abs/1110.3730v2

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

We propose a method of simulating many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We encode the products of fermionic operators in nonlocal spin operators of an ion string, which are efficiently implementable, while a Trotter expansion of the total evolution operator can be applied by using only polynomial resources. The proposed scheme can be relevant in a variety of fields as condensed-matter or high-energy physics, where quantum simulations may solve problems intractable for classical computers.

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