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Characterizing grover search algorithm on large-scale superconducting quantum computers

SCIENTIFIC REPORTS 2025年第1期15卷 1-17页

作者： Abughanem, Muhammad Ain Shams Univ Fac Sci Cairo 11566 Egypt

Quantum computing is on the cusp of transforming the way we tackle complex problems, and the grover search algorithm exemplifying its potential to revolutionize the search for unstructured large datasets, offering remarkable speedups over classical methods. Here, we report results for the implementation and characterization of a three-qubit grover search algorithm using the state-of-the-art scalable quantum computing technology of superconducting quantum architectures. To delve into the algorithm's scalability and performance metrics, our investigation spans the execution of the algorithm across all eight conceivable single-result oracles, alongside nine two-result oracles, employing IBM Quantum's 127-qubit quantum computers. Moreover, we conduct five quantum state tomography experiments to precisely gauge the behavior and efficiency of our implemented algorithm under diverse conditions - ranging from noisy, noise-free environments to the complexities of real-world quantum hardware. By connecting theoretical concepts with real-world experiments, this study not only shed light on the potential of Noisy Intermediate-Scale Quantum Computers in facilitating large-scale database searches but also offer valuable insights into the practical application of the grover search algorithm in real-world quantum computing applications.

关键词： Quantum search grover search algorithm Quantum algorithms in real-world applications Applied quantum computing Quantum hardware characterization State-of-the-art superconducting quantum computers

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grover search algorithm in an ion trap system

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CHINESE PHYSICS 2005年第11期14卷 2222-2225页

作者： Zheng, SB Fuzhou Univ Dept Elect Sci & Appl Phys Fuzhou 350002 Peoples R China

Two schemes for the implementation of the two-qubit grover search algorithm in the ion trap system are proposed. These schemes might be experimentally realizable with presently available techniques. The experimental implementation of the schemes would be an important step toward more complex quantum computation in the ion trap system.

关键词： grover search algorithm ion trap system quantum computation

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Effects of initial states on the quantum correlations in the generalized grover search algorithm

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Chinese Physics B 2021年第8期30卷 145-151页

作者： Zhen-Yu Chen Tian-HuiQiu Wen-Bin Zhang Hong-Yang Ma School of Science Qingdao University of TechnologyQingdao 266033China School of Information and Control Engineering Qingdao University of TechnologyQingdao 266033China

We investigate the correlations between two qubits in the grover search algorithm with arbitrary initial states by numerical *** a set of suitable bases,we construct the reduced density matrix and give the numerical expression of correlations relating to the *** different initial states,we obtain the concurrence and quantum discord compared with the success probability in the *** results show that the initial states affect the correlations and the limit point of the correlations in the searching ***,the initial states do not influence the whole cyclical trend.

关键词： grover search algorithm quantum correlations initial states the success probability

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grover search algorithm in an ion trap systen

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Chinese Physics B 2005年第11期14卷 2222-2225页

作者：郑仕标 Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

关键词： grover search algorithm ion trap system quantum computation

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grover search algorithm in an ion trap system

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中国物理(英文版) 2005年第11期14卷 2222-2225页

作者： Zheng Shi-Biao Department of Electronic Science and Applied Physics Fuzhou UniversityFuzhou 350002China

Two schemes for the implementation of the two-qubit grover search algorithm in the ion trap system are *** schemes might be experimentally realizable with presently available techniques. The experimental implementatio... 详细信息

关键词： grover search algorithm ion trap system quantum computation

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Quantum Image Steganography Protocol Based on Quantum Image Expansion and grover search algorithm

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IEEE ACCESS 2019年 7卷 50849-50857页

作者： Qu, Zhiguo Li, Zhengyan Xu, Gang Wu, Shengyao Wang, Xiaojun Nanjing Univ Informat Sci & Technol Jiangsu Collaborat Innovat Ctr Atmospher Environm Nanjing 210044 Jiangsu Peoples R China Nanjing Univ Informat Sci & Technol Sch Comp & Software Nanjing 210044 Jiangsu Peoples R China North China Univ Technol Sch Informat Sci & Technol Beijing 100144 Peoples R China Nanjing Univ Informat Sci & Technol Informat Secur Ctr Sch Comp & Software State Key Lab Networking & Switching Technol Beijing 100876 Peoples R China Dublin City Univ Sch Elect Engn Dublin 9 Ireland

Quantum image steganography is one of the important research branches of quantum secure communications. In this paper, a large payload quantum image steganography protocol based on quantum image expansion and the grover search algorithm is proposed. The new algorithm adopts quantum log-polar image (QUALPI) representation to prepare the quantum image before introducing a quantum expansion technique to form the superposition of multiple image copies with the same size angle difference as the carrier. Then, it embeds a secret message into one quantum image copy with a specific rotation angle encoded. In order to accurately extract the secret message embedded, the grover search algorithm is used to locate the correct quantum image copy. Based on the quantum uncertainty and quantum non-cloning theorems, the new algorithm can not only achieve good imperceptibility and security but also large payload due to the algorithm's good coding scalability. The experimental results by performing MATLAB simulation prove the conclusions.

关键词： Quantum image expansion grover search algorithm QUALPI quantum image representation imperceptibility security

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Quantum self-organizing feature mapping neural network algorithm based on grover search algorithm

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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 2024年 639卷

作者： Ye, Zi Yu, Kai Guo, Gong-De Lin, Song Fujian Normal Univ Coll Comp & Cyber Secur Fuzhou 350117 Peoples R China

Self-organizing feature mapping neural network is a typical unsupervised neural network algorithm, which is often used for clustering analysis and data compression. As the amount of data increases, the time consumption required by the algorithm becomes increasingly large, which becomes a new challenge. To address this issue, a quantum self-organizing feature mapping neural network is proposed in this paper. This algorithm provides a method to obtain the similarity between samples and neurons based on quantum phase estimation and demonstrates the scheme to obtain winning neurons by grover algorithm. By utilizing the superposition of quantum, the algorithm achieves parallel computing. The time complexity analysis indicates that the proposed algorithm is exponentially faster than the classical counterpart. The quantum circuit has been devised, while numerical simulation and experiment on a heart disease dataset have been conducted programming within the Qiskit framework. Both have verified the feasibility of the algorithm. Moreover, an application of classification has been developed based on the trained self-organizing feature mapping neural network, which demonstrates the effectiveness of the proposed algorithm.

关键词： Quantum neural network Quantum phase estimation grover search algorithm Self-organizing feature mapping

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A Secure Information Transmission Protocol for Healthcare Cyber Based on Quantum Image Expansion and grover search algorithm

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IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING 2023年第5期10卷 2551-2563页

作者： Qu, Zhiguo Sun, Hanrong Nanjing Univ Informat Sci & Technol Engn Res Ctr Digital Forens Minist Educ Nanjing 210044 Peoples R China Nanjing Univ Informat Sci & Technol Sch Comp Sci Nanjing 210044 Peoples R China Nanjing Univ Informat Sci & Technol Jiangsu Collaborat Innovat Ctr Atmospher Environm Nanjing 210044 Peoples R China Beijing Univ Posts & Telecommun State Key Lab Networking & Switching Technol Informat Secur Ctr Beijing 100876 Peoples R China

In the healthcare cyber, the transmission of information between the head office and each sub-branch has always been a very important process. However, with the continuous development of network technology in recent years, its security has also been subjected to greater and greater tests. Based on quantum image expansion technology and grover search algorithm, this paper proposes a more secure and large-capacity secure information transmission protocol for healthcare cyber. The new protocol embeds the secret information through three layers and encrypts it at the same time. Finally, the secret information is transmitted through quantum channel in the form of quantum state, which has very high security. At the same time, the new protocol is essentially a novel quantum image steganography protocol. The imperceptibility of the steganography protocol is essentially a higher level of security, which can effectively avoid various attacks and further guarantee the security of the information transmission process.

关键词： Quantum image expansion grover search algorithm healthcare information transmission security capacity quantum image steganography

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Entanglement in the grover search algorithm

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PHYSICS LETTERS A 2005年第4-6期345卷 265-272页

作者： Fang, YY Kaszlikowski, D Chin, CM Tay, K Kwek, LC Oh, CH Natl Univ Singapore Fac Sci Dept Phys Singapore 117542 Singapore Nanyang Technol Univ Natl Inst Educ Singapore 639798 Singapore

We study the degree of entanglement for the one-site and two-site reduced density matrices of a linear quantum register under the grover search algorithm and show that for practical purpose, one-site von Neumann entro... 详细信息

关键词： entanglement grover search algorithm

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Implementation of the grover search algorithm with Josephson charge qubits

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PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS 2007年第1-2期453卷 76-79页

作者： Zheng, Xiao-Hu Dong, Ping Xue, Zheng-Yuan Cao, Zhuo-Liang Anhui Univ Key Lab Optoelect Informat Acquisit & Manipulat Minist Educ Sch Phys & Mat Sci Hefei 230039 Peoples R China

A scheme of implementing the grover search algorithm based on Josephson charge qubits has been proposed, which would be a key step to scale more complex quantum algorithms and very important for constructing a real quantum computer via Josephson charge qubits. The present scheme is simple but fairly efficient, and easily manipulated because any two-charge-qubit can be selectively and effectively coupled by a common inductance. More manipulations can be carried out before decoherence sets in. Our scheme can be realized within the current technology. (c) 2006 Elsevier B.V. All rights reserved.

关键词： grover search algorithm superconduction Josephson charge qubits

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