Measurement-Driven Adaptive Low-Overhead Implementation of Multi-Controlled Toffoli Gates

• URL: http://arxiv.org/abs/2605.18159v1
• Date: Mon, 18 May 2026 10:03:17 GMT
• Title: Measurement-Driven Adaptive Low-Overhead Implementation of Multi-Controlled Toffoli Gates
• Abstract summary: The Toffoli gate is a fundamental building block for quantum arithmetic and reversible logic.<n>Recent advances in dynamic quantum circuit capabilities, including mid-circuit measurement and classical feedforward, provide new opportunities for reducing the resource overhead of non-Clifford operations.<n>We propose a set of dynamic decomposition strategies for multi-controlled Toffoli gates that exploit adaptive circuit execution and ancilla-assisted constructions.
• Score: 1.3267048706241158
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Toffoli gate is a fundamental building block for quantum arithmetic and reversible logic, yet its efficient realization remains a major challenge in both near-term and fault-tolerant quantum architectures. Recent advances in dynamic quantum circuit capabilities, including mid-circuit measurement and classical feedforward, provide new opportunities for reducing the resource overhead of non-Clifford operations. In this work, we propose a set of dynamic decomposition strategies for multi-controlled Toffoli gates that exploit adaptive circuit execution and ancilla-assisted constructions. Our methods systematically reduce entangling-gate count, T-count, and T-depth compared with conventional static decompositions, while preserving fault-tolerance guarantees. Through analytical cost models and experimental evaluation, we demonstrate that relative-phase primitives and measurement-conditioned corrections enable scalable implementations with improved depth and resource efficiency.

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