Halving the cost of quantum addition

We improve the number of T gates needed to perform an n-bit adder from $8n + O(1)$ to $4n + O(1)$. We do so via a "temporary logical-AND" construction which uses four T gates to store the logical-AND of two qubits into an ancilla and zero T gates to later erase the ancilla. This constructi...

Full description

Bibliographic Details
Main Author: Craig Gidney
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2018-06-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2018-06-18-74/pdf/