Quantum simulations under translational symmetry

Details Quantum simulations under translational symmetry Quantum simulations under translational symmetry

2006-07-14

arxiv.org/abs/quant-ph/0607094v2

Phys. Rev. A 75, 022303 (2007)

Physics

Quantum Physics

9 pages, 2 figures, references added, minor changes

Scientific paper

10.1103/PhysRevA.75.022303

We investigate the power of quantum systems for the simulation of Hamiltonian time evolutions on a cubic lattice under the constraint of translational invariance. Given a set of translationally invariant local Hamiltonians and short range interactions we determine time evolutions which can and those that can not be simulated. Whereas for general spin systems no finite universal set of generating interactions is shown to exist, universality turns out to be generic for quadratic bosonic and fermionic nearest-neighbor interactions when supplemented by all translationally invariant on-site Hamiltonians.

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