VENUS: A Geometrical Representation for Quantum State Visualization

Author:

Ruan Shaolun1ORCID,Yuan Ribo12,Guan Qiang3ORCID,Lin Yanna14ORCID,Mao Ying5ORCID,Jiang Weiwen6ORCID,Wang Zhepeng6ORCID,Xu Wei7ORCID,Wang Yong1ORCID

Affiliation:

1. School of Computing and Information System, Singapore Management University Singapore

2. Department of Computer and Information Sciences, University of Delaware United States

3. Department of Computer Science, Kent State University United States

4. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology Hong Kong China

5. Computer and Information Science Department, Fordham University United States

6. Electrical and Computer Engineering, George Mason University United States

7. Computational Science Initiative, Brookhaven National Laboratory United States

Abstract

AbstractVisualizations have played a crucial role in helping quantum computing users explore quantum states in various quantum computing applications. Among them, Bloch Sphere is the widely‐used visualization for showing quantum states, which leverages angles to represent quantum amplitudes. However, it cannot support the visualization of quantum entanglement and superposition, the two essential properties of quantum computing. To address this issue, we propose VENUS, a novel visualization for quantum state representation. By explicitly correlating 2D geometric shapes based on the math foundation of quantum computing characteristics, VENUS effectively represents quantum amplitudes of both the single qubit and two qubits for quantum entanglement. Also, we use multiple coordinated semicircles to naturally encode probability distribution, making the quantum superposition intuitive to analyze. We conducted two well‐designed case studies and an in‐depth expert interview to evaluate the usefulness and effectiveness of VENUS. The result shows that VENUS can effectively facilitate the exploration of quantum states for the single qubit and two qubits.

Funder

National Science Foundation

Publisher

Wiley

Subject

Computer Graphics and Computer-Aided Design

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. VIOLET: Visual Analytics for Explainable Quantum Neural Networks;IEEE Transactions on Visualization and Computer Graphics;2024-06

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3. Subject Experiments with a Learning Support System for Grover's Algorithm;2023 27th International Conference Information Visualisation (IV);2023-07-25

4. QuantumEyes: Towards Better Interpretability of Quantum Circuits;IEEE Transactions on Visualization and Computer Graphics;2023

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