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IEEE Conference on Information Visualization (IV)

A Proposal of Visualization System for Understanding Quantum Algorithms

Mariko Sasakura, Shingo Taniuchi, Kenichi Iwata

Published Jul 1, 2019• 0 citations
Publisher

Abstract

Quantum algorithms which are performed on quantum computers are hardly developed, because the principle of quantum computers are totally different from classical computers. We would like to discuss the way of visualization to assist understanding quantum algorithms. As the first step, we have developed visualization system of the Bloch sphere, which is the popular way to show the status of one quantum bit. In the system, we can see the Bloch sphere as 3DCG and interact with it. Next, we discuss the problems of visualizing multiple quantum bits and quantum algorithms.

DOI
10.1109/iv-2.2019.00015

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With the advent of quantum computers, applications of quantum computing have also begun to develop. Quantum computing is a difficult field for non-experts to understand. However, most of the ways to realize quantum computing are limited to books or software implementation. This study proposes a Bloch sphere interactive system to visualize the quantum computing simulation. Users can input the quantum bit and quantum gate for quantum computing by the mobile App. And then, parallel computing is performed by the FPGA to simulate quantum circuits using OpenCL. The resultant data is then sent to a microcontroller, which drives the motors to rotate the Bloch sphere to visualize the single-qubit quantum states.
Quantum state visualisation remains a significant challenge in quantum computing education and research due to the abstract mathematical properties of quantum mechanics. This paper presents a new Quantum State Visualiser, an interactive web app that tries to bridge the gap between theoretical quantum mechanics and real-world understanding. The proposed solution operates with multi-qubit quantum circuits, employing partial trace operations to derive single-qubit reduced density matrices, which are then depicted as dynamic 3D Bloch sphere representations. The tool helps you understand abstract ideas like superposition, entanglement, and quantum interference by turning hard math into easy-to-understand pictures. This is useful for students, teachers, researchers, and people who work on quantum computers.The prototype uses Qiskit for quantum Traditional quantum co simulation, Python for computational backends, and modern web technologies for interactive visualisation. The system can accurately show quantum states in real time, which means that circuit changes get instant visual feedback. The new thing is that it combines quantum simulation in real time with 3D visualisation that you can interact with. This creates a fun place to learn that helps people understand quantum phenomena faster. This tool fills a big gap in education and could be used in schools, to fix problems with quantum algorithms, and to make quantum circuits work better. In the future, it will be possible to work with bigger qubit systems, connect it to quantum hardware platforms, and add features for augmented reality visualisation
We introduce an open-source web-based platform that integrated multiple methods for visualizing Shor's algorithm. We mainly focus on three different approaches which are widely used in the field of visualizing qubit and quantum algorithms. These methods include Bloch sphere, quantum circuit and probability distribution map. We combine these geometrical methods and abstract the level of quantum circuit in order to introduce the well-known Shor's algorithm more explicitly. Our platform provides a direct and comprehensible perspective for better understanding the basic principles of quantum computation and how the features of quantum algorithms reduce the time complexity of certain problems. It also provides an interactive way for users to easily test the Shor's factoring algorithm. With further improvement and development, potential capacity can be proved in the field of visualization of quantum computation.
Abstract Quantum information science is a rapidly growing interdisciplinary field that is attracting the attention of academics and industry experts alike. It requires talent from a wide variety of traditional fields, including physics, engineering, chemistry, and computer science, to name a few. To prepare students for such opportunities, it is important to give them a strong foundation in the basics of quantum information science, in which quantum computing plays a central role. In this study, we discuss the development, validation, and evaluation of a tutorial on the Bloch sphere, a useful visual tool for developing intuition about single quantum bits (qubits), which are the basic building block of any quantum computer. Students’ understanding was evaluated after they received traditional lecture-based instruction on the requisite topics, and again after engaging with the tutorial. We observe, analyze, and discuss their improvement in performance on concepts covered in the tutorial.
Recently, various researches and developments have been made to create a new computer that exceeds the capacity of a classical computer by utilizing a quantum computer. Quantum computing controls with operations of quantum bits called Qubit and uses various quantum physics phenomena to perform computations faster than classical computing. The quantum physics phenomena such as quantum entanglement and quantum superposition are used to carry out the computation. Although conventional classical computing systems can easily understand the current state of the system with pre-defined logic gates, symbols and procedures, on the other hand, the quantum computer have a complicated structure and difficult to intuitively understand. For example, when the number of controllable quantum bits hugely increases, complex quantum operations by quantum computing algorithms is generated. Also, to visualize large-scale complex quantum computer circuits, we need better ways to visualize quantum circuits. In this paper, in the process of designing a large-scale quantum computer system, the complex quantum algorithm and quantum system generated by controlling a large number of quantum bits are hierarchically visualized so that users can more effectively recognize the quantum computer system. In order to effectively design a computing circuit, we propose a quantum computing circuit visualization system using a hologram-like system.
Quantum computers are the first computers based on a different paradigm since the establishment of classical computers. Quantum algorithms that run on quantum computers are created based on a fundamentally different way of thinking than algorithms that run on classical computers. Therefore, visualisation to support the understanding of quantum algorithms needs to be different from visualisation to support the understanding of conventional algorithms. In this paper, the differences between quantum algorithms and conventional algorithms are discussed from the perspective of visualisation.