Quantum algorithm estimates fidelity of commuting mixed states using density matrix exponentiation and interferometry with time complexity O(κ²N²/ε⁷).
Since we do this for bothρ 1 andρ 2, the com- plexity after taking both of them into considera- tion becomesO(2N t 2/ϵ)≈O(N t 2/ϵ).Here,ϵis the simulation error
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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).