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Mapping local Hamiltonians of fermions to local Hamiltonians of spins

F. Verstraete·J. I. Cirac
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Abstract

We show how to map local fermionic problems onto local spin problems on a lattice in any dimension. The main idea is to introduce auxiliary degrees of freedom, represented by Majorana fermions, which allow us to extend the Jordan-Wigner transformation to dimensions higher than one. We also discuss the implications of our results in the numerical investigation of fermionic systems.

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F. Verstraete, J. I. Cirac. 2005-09-14. Mapping local Hamiltonians of fermions to local Hamiltonians of spins. https://doi.org/10.1088/1742-5468%2F2005%2F09%2Fp09012

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