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quant-ph2023★ 7 cited
Complete Equational Theories for the Sum-Over-Paths with Unbalanced Amplitudes
Matthew Amy
Vilmart recently gave a complete equational theory for the balanced sum-over-paths over Toffoli-Hadamard circuits, and by extension Clifford+Rz(2pi/2^k) circuits. Their theory is b…
quant-ph2023
Improved Synthesis of Toffoli-Hadamard Circuits
Matthew Amy, Andrew N. Glaudell, Sarah Meng Li +1
The matrices that can be exactly represented by a circuit over the Toffoli-Hadamard gate set are the orthogonal matrices of the form , where is an integer matr…