Scalable Algorithms for Power Function Calculations of quantum states in NISQ Era

Wencheng Zhao; Tingting Chen; Ruyu Yang

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arXiv · 2308.14675

Scalable Algorithms for Power Function Calculations of quantum states in NISQ Era

Wencheng Zhao·Tingting Chen·Ruyu Yang

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Abstract

This article focuses on the development of scalable and quantum bit-efficient algorithms for computing power functions of random quantum states. Two algorithms, based on Hadamard testing and Gate Set Tomography, are proposed. We provide a comparative analysis of their computational outcomes, accompanied by a meticulous evaluation of inherent errors in the gate set tomography approach. The second algorithm exhibits a significant reduction in the utilization of two-qubit gates compared to the first. As an illustration, we apply both methods to compute the Von Neumann entropy of randomly generated quantum states.

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Wencheng Zhao, Tingting Chen, Ruyu Yang. 2023-08-28. Scalable Algorithms for Power Function Calculations of quantum states in NISQ Era. https://arxiv.org/abs/2308.14675

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