SSHR uses parallelotopes (affine subspaces) in the Boolean hypercube to synthesize quantum oracles for <=8-bit functions and reports large CNOT reductions, but the provided construction does not uncompute its CNOTs.
Xor-and-inverter graphs for quantum compilation,
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CNOT Oriented Synthesis for Small-Scale Boolean Functions Using Spatial Structures of Parallelotopes
SSHR uses parallelotopes (affine subspaces) in the Boolean hypercube to synthesize quantum oracles for <=8-bit functions and reports large CNOT reductions, but the provided construction does not uncompute its CNOTs.