A closed-form resource estimation tool for concatenated quantum error correction reveals that magic-state operations rarely dominate qubit costs, with general optimizations providing orders-of-magnitude larger reductions than magic-specific ones.
Then the upper-bound for each one is the largest matrix element in the respective matrix, multiplied by the number of rows in that matrix
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Magic states are rarely the best resource to optimize: An analytical tool for qubit resource estimation in concatenated codes
A closed-form resource estimation tool for concatenated quantum error correction reveals that magic-state operations rarely dominate qubit costs, with general optimizations providing orders-of-magnitude larger reductions than magic-specific ones.