Fig. 2: Inhomogeneous broadening and spin echo.
From: Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
a Decay of the squared fidelity with respect to the initial state under inhomogeneous broadening for different spins S initialized in a state \(\left|{\psi }_{L}\right\rangle =(\left|{0}_{L}\right\rangle +{{{\rm{i}}}}\left|{1}_{L}\right\rangle )/\sqrt{(2)}\), where \(\left|{0}_{L}\right\rangle\) and \(\left|{1}_{L}\right\rangle\) are spin-binomial codewords corresponding to spin S13 (see also “Methods”); the results have been averaged over 26 initial spatial configurations of the nuclear spins, as explained in “Methods”. b Decay of the echo squared fidelity for the same initialization of (a). For each time point t, a generalized echo transformation of the form \({{{{\rm{e}}}}}^{-{{{\rm{i}}}}\pi {\hat{S}}_{x}}\) at t/2 is understood.
