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The energy levels of two-qubit states, where we fix k l to be positively large and scan i j . At the positions where {J}_{ij}-{\overline{E}}_{z,ij} equals {J}_{kl}-{\overline{E}}_{z,kl} , an anticrossing with a gap J coup forms (black dashed circles), which can be used to induce SWAP oscillations between \left\vert {\mathrm{ST}}_{-}\right\rangle and \left\vert {\mathrm{T}}_{-}{\mathrm{S}}\right\rangle . The parameters used in this calculation are based on the experimental results for Q3Q4 shown in Supplementary Fig. 4c .
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