Table 3 Matrix dimension and memory footprint statistics for the simulation of 3D PRESS excitation profile in the right panel of Fig. 6.

Memory utilization is quoted as reported by Matlab using compressed column sparse format (74).

Problem parameterValueNotes
Liouville space dimension, full409646
Liouville space dimension, reduced483 × 42
Spatial grid, points108 × 90 × 111
Space(x)spin dimension, full4.4 × 10946 × 108 × 90 × 111
Space(x)spin dimension, reduced5.2 × 106(3 × 42) × 108 × 90 × 111
Nonzeroes in evolution generator, matrix425,094,48011 GB
Nonzeroes in evolution generator, polyadic5,403,402233 MB