Fermion lattices can be simulated on same-size qubit lattices with O(1) interaction overhead by dynamically reorienting the Jordan-Wigner transformation.
For each value ofj i we apply the gates Y j′∈J CZji,j′ J={k:m(k)< m(j i)} \ {l:m ′(l)< m ′(ji)} ={k:m(k)< m(j i)} ∩ {l:m ′(l)> m ′(ji)}
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Fermion lattices can be simulated by same-size qubit lattices with $\mathcal{O}(1)$ interaction overhead
Fermion lattices can be simulated on same-size qubit lattices with O(1) interaction overhead by dynamically reorienting the Jordan-Wigner transformation.