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