Simulation and analysis of quantum phase estimation algorithm in the presence of incoherent quantum noise channels

Muhammad Faizan; Muhammad Faryad

doi:10.1117/12.2691149

13 March 2024 Simulation and analysis of quantum phase estimation algorithm in the presence of incoherent quantum noise channels

Muhammad Faizan, Muhammad Faryad

Author Affiliations +

Proceedings Volume 12911, Quantum Computing, Communication, and Simulation IV; 1291116 (2024) https://doi.org/10.1117/12.2691149
Event: SPIE Quantum West, 2024, San Francisco, California, United States

Abstract

The quantum phase estimation (QPE) is one of the fundamental algorithms based on the quantum Fourier transform. It has applications in order-finding, factoring, and finding the eigenvalues of unitary operators. The major challenge in running QPE and other quantum algorithms is the noise in quantum computers. In the present work, we study the impact of incoherent noise on QPE, modeled as trace-preserving and completely positive quantum channels. Different noise models such as depolarizing, phase flip, bit flip, and bit-phase flip are taken to understand the performance of the QPE in the presence of noise. The simulation results indicate that the standard deviation of the eigenvalue of the unitary operator has strong exponential dependence upon the error probability of individual qubits. However, the standard deviation increases only linearly with the number of qubits for fixed error probability when that error probability is small.

Conference Presentation

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Muhammad Faizan and Muhammad Faryad "Simulation and analysis of quantum phase estimation algorithm in the presence of incoherent quantum noise channels", Proc. SPIE 12911, Quantum Computing, Communication, and Simulation IV, 1291116 (13 March 2024); https://doi.org/10.1117/12.2691149

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