Geometric complexity of physical maps is bounded below by execution error, forcing divergent resources for zero-error state resets in both classical and quantum settings.
This is not merely a mathematical conven- tion; it is physically necessary for quantifying the cost of thermodynamic control
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Geometric complexity in thermodynamics
Geometric complexity of physical maps is bounded below by execution error, forcing divergent resources for zero-error state resets in both classical and quantum settings.