Permanents, hafnians, and loop-hafnians are unified in a single Ising spin model whose dynamics are simulatable on a quantum circuit with O(N²) gates.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Exploiting sign freedom in Cirac-Zoller red-sideband pulses enables pulse cancellation that cuts multi-controlled gate times and reduces LCU select-operator pulse cost from O(L log L) to O(L).
citing papers explorer
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Quantum Circuit Representation of Combinatorial Matrix Functions
Permanents, hafnians, and loop-hafnians are unified in a single Ising spin model whose dynamics are simulatable on a quantum circuit with O(N²) gates.
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Efficient Multi-Controlled Gate Implementation in Trapped-Ion Systems
Exploiting sign freedom in Cirac-Zoller red-sideband pulses enables pulse cancellation that cuts multi-controlled gate times and reduces LCU select-operator pulse cost from O(L log L) to O(L).