Papers › Accelerated Quantum Amplitude Estimation without QFT
Accelerated Quantum Amplitude Estimation without QFT
Alet Roux, Tomasz Zastawniak
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We put forward a Quantum Amplitude Estimation algorithm delivering superior performance (lower quantum computational complexity and faster classical computation parts) compared to the approaches available to-date. The algorithm does not relay on the Quantum Fourier Transform and its quantum computational complexity is of order O(1/ε) in terms of the target accuracy ε>0. The O(1/ε) bound on quantum computational complexity is also superior compared to those in the earlier approaches due to smaller constants. Moreover, a much tighter bound is obtained by means of computer-assisted estimates for the expected value of quantum computational complexity. The correctness of the algorithm and the O(1/ε) bound on quantum computational complexity are supported by precise proofs.
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