Quantum algorithm estimates fidelity of commuting mixed states using density matrix exponentiation and interferometry with time complexity O(κ²N²/ε⁷).
The complexity of DME here will beO(log 2(d)w) withw=O(t 2 2/ϵ), wheret 2 = 2, since there is only 1 control qubit for the controlled-Uopera- tion
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Efficient algorithm for fidelity estimation of two quantum states
Quantum algorithm estimates fidelity of commuting mixed states using density matrix exponentiation and interferometry with time complexity O(κ²N²/ε⁷).