Calculation of $\pi$ on the IBM quantum computer and the accuracy of one-qubit operations
G. A. Bochkin, S. I. Doronin, E. B. Fel'dman, A. I. Zenchuk

TL;DR
This paper presents a quantum algorithm to calculate π implemented on IBM's five-qubit quantum computer, analyzing the accuracy and noise effects of one-qubit operations.
Contribution
It introduces a novel quantum algorithm for π calculation and evaluates the error sources in current superconducting qubit hardware.
Findings
Calculated π as 3.157±0.017
Errors are mainly due to noise in one-qubit operations
Errors appear to be purely random
Abstract
A quantum algorithm for the calculation of is proposed and implemented on the five-qubit IBM quantum computer with superconducting qubits. We find . The error is due to the noise of quantum one-qubit operations and measurements. The results can be used for estimating the errors of the quantum computer and suggest that the errors are purely random.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Computability, Logic, AI Algorithms
