CRM: Centro De Giorgi
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Quantum Information and Many-Body Quantum Systems

seminar: Quantum simulations under translational symmetry

speaker: Christina Kraus (Max-Planck-Institut for Quantum Optics)

abstract: 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. (C.V. Kraus, M.M. Wolf, J.I. Cirac, quant-ph0607094, to appear in PRA)


timetable:
Wed 28 Mar, 11:20 - 11:50, Aula Dini
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