Amplitude estimation via maximum likelihood on noisy quantum computer

Understand

Recently we find several candidates of quantum algorithms that may be implementable in near-term devices for estimating the amplitude of a given quantum state, which is a core sub- routine in various computing tasks such as the Monte Carlo methods.

• One of those algorithms is based on the maximum likelihood estimate with parallelized quantum circuits.
• In this paper, we extend this method so that it incorporates the realistic noise effect, and then give an experimental demonstration on a superconducting IBM Quantum device.
• The maximum likelihood estimator is constructed based on the model assuming the depolarization noise.