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Quantum Research · 2026-11-02
Encoded reversible addition in constant Toffoli depth
arXiv:2610.41142v1 Announce Type: new Abstract: We show that reversible in-place quantum addition modulo $2^n-1$ can be implemented in constant Toffoli depth using $O(n)$ space, provided that the variables are encoded in a certain non-standard form. Using measurement-based uncomputation, the Toffoli depth can be reduced to one. We also present space-depth tradeoffs and an application to programmable rotations.
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Original source: arXiv Quantum ↗
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