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About this paper
Rafaella Vale, Thiago Melo D. Azevedo, Ismael C. S. Araújo, Israel F. Araujo, Adenilton J. da Silva
This research introduces new decomposition schemes for n-qubit multi-controlled Special Unitary (SU(2)) single-qubit gates, reducing CNOT gate count by 28-30% for general SU(2) gates and 43-46% for those with real-valued diagonals compared to state-of-the-art methods. These optimizations enhance circuit depth and fidelity on Noisy Intermediate-Scale Quantum (NISQ) devices, as demonstrated by higher-fidelity sparse quantum state preparation on IBM hardware.
Key insights
- Strategic adaptation of existing decomposition patterns and careful gate sequencing can eliminate the need for dedicated auxiliary qubits while substantially improving gate efficiency.
- Exploiting specific mathematical properties of SU(2) gates, such as having a real-valued diagonal, enables the creation of specialized decomposition schemes that are significantly more efficient than general methods.
- Eigendecomposition, combined with exploiting gate cancellations between inverse circuit components (Q and Q⁻¹), provides a powerful strategy for drastically reducing the resource requirements of general multi-controlled SU(2) gates.
Summary by alphaXiv.
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