Quantum simulations under translational symmetry

Christina V. Kraus, Michael M. Wolf, J. Ignacio Cirac

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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 cannot 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.

Original languageEnglish
Article number022303
JournalPhysical Review A
Issue number2
StatePublished - 6 Feb 2007
Externally publishedYes


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