Fig. 5: Optimization time and initial states.
From: Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
a Gain as a function of time for a logical state \(\left|{\psi }_{L}\right\rangle =(\left|{0}_{L}\right\rangle +{{{\rm{i}}}}\left|{1}_{L}\right\rangle )/\sqrt{2}\) for numerical codewords optimized at three different times topt = 10, 50, 100 μs and S = 3/2. b Fidelity (colour scale) as a function of time (radial scale) for different initial superposition states \(\cos \theta \left|{0}_{L}\right\rangle +{{{\rm{i}}}}\sin \theta \left|{1}_{L}\right\rangle\) (θ depicted in angular scale) of a set of optimized numerical codewords for S = 3/2.
