Error Resilient Quantum Amplitude Estimation from Parallel Quantum Phase Estimation
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Abstract
We show how phase and amplitude estimation algorithms can be parallelized. This can reduce the gate depth of the quantum circuits to that of a single phase kickback of an operator with a small overhead. Further, we show that for quantum amplitude estimation, the parallelization can lead to improvements in resilience against quantum errors. The resilience is not caused by the lower gate depth, but by the structure of the algorithm. The parallelization and the results on error resilience hold for the standard version and for low depth versions of phase estimation and quantum amplitude estimation. Methods presented are sub-ject of a patent application [Quantum computing device: Patent application EP 21207022.1].