VENUS: A Geometrical Representation for Quantum State Visualization
Visualizations 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 can...
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| Vydané v: | Computer graphics forum Ročník 42; číslo 3; s. 247 - 258 |
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| Hlavní autori: | , , , , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Oxford
Blackwell Publishing Ltd
01.06.2023
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | Visualizations 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. |
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| AbstractList | Visualizations 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. |
| Author | Ruan, Shaolun Guan, Qiang Wang, Zhepeng Lin, Yanna Mao, Ying Jiang, Weiwen Yuan, Ribo Xu, Wei Wang, Yong |
| Author_xml | – sequence: 1 givenname: Shaolun orcidid: 0000-0002-6163-9786 surname: Ruan fullname: Ruan, Shaolun organization: School of Computing and Information System, Singapore Management University – sequence: 2 givenname: Ribo surname: Yuan fullname: Yuan, Ribo organization: Department of Computer and Information Sciences, University of Delaware – sequence: 3 givenname: Qiang orcidid: 0000-0002-3804-8945 surname: Guan fullname: Guan, Qiang organization: Department of Computer Science, Kent State University – sequence: 4 givenname: Yanna orcidid: 0000-0003-3730-0827 surname: Lin fullname: Lin, Yanna organization: Department of Computer Science and Engineering, The Hong Kong University of Science and Technology – sequence: 5 givenname: Ying orcidid: 0000-0002-4484-4892 surname: Mao fullname: Mao, Ying organization: Computer and Information Science Department, Fordham University – sequence: 6 givenname: Weiwen orcidid: 0000-0002-9004-487X surname: Jiang fullname: Jiang, Weiwen organization: Electrical and Computer Engineering, George Mason University – sequence: 7 givenname: Zhepeng orcidid: 0000-0002-1460-1128 surname: Wang fullname: Wang, Zhepeng organization: Electrical and Computer Engineering, George Mason University – sequence: 8 givenname: Wei orcidid: 0000-0002-4525-4819 surname: Xu fullname: Xu, Wei organization: Computational Science Initiative, Brookhaven National Laboratory – sequence: 9 givenname: Yong orcidid: 0000-0002-0092-0793 surname: Wang fullname: Wang, Yong organization: School of Computing and Information System, Singapore Management University |
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| SubjectTerms | Amplitudes Angles (geometry) CCS Concepts Hardware → Quantum computation Human‐centered computing → Visualization application domains Quantum computing Quantum entanglement Quantum mechanics Qubits (quantum computing) Representations Visualization |
| Title | VENUS: A Geometrical Representation for Quantum State Visualization |
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