{"title":"Maximally Entangled GHZ States for Quantum Information Processing using MS Gate","authors":"Vaishali Sood, Rishi Pal Chauhan","doi":"10.1007/s11128-025-04766-x","DOIUrl":null,"url":null,"abstract":"<div><p>This paper researches maximally entangled Greenberger–Horne–Zeilinger (GHZ) states in a four-qubit system using Ytterbium-171 ions. A framework for a multiple instruction single data (MISD) control framework is proposed and implemented with a hyperfine ground state of Ytterbium-171 (<span>\\(^{171}\\text {Yb}^{+}\\)</span>) ions, insensitive to noise due to magnetic field fluctuations of first order. The global entangling Molmer–Sorensen operations and single-qubit rotations apprehend the collective vibrational phonon mode ion interactions. We prove the resilience of the states by generating the pulse sequence with <span>\\(1.73 \\times 10^{3}\\)</span> Hz leakage noise to mitigate errors due to laser-induced decoherence and qubit crosstalk. Results demonstrate the effective creation of GHZ states with a fidelity of 96.42% extending the operational scope of trapped-ion quantum systems towards practical quantum information processing.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04766-x","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
This paper researches maximally entangled Greenberger–Horne–Zeilinger (GHZ) states in a four-qubit system using Ytterbium-171 ions. A framework for a multiple instruction single data (MISD) control framework is proposed and implemented with a hyperfine ground state of Ytterbium-171 (\(^{171}\text {Yb}^{+}\)) ions, insensitive to noise due to magnetic field fluctuations of first order. The global entangling Molmer–Sorensen operations and single-qubit rotations apprehend the collective vibrational phonon mode ion interactions. We prove the resilience of the states by generating the pulse sequence with \(1.73 \times 10^{3}\) Hz leakage noise to mitigate errors due to laser-induced decoherence and qubit crosstalk. Results demonstrate the effective creation of GHZ states with a fidelity of 96.42% extending the operational scope of trapped-ion quantum systems towards practical quantum information processing.
本文利用镱-171离子研究了四量子位系统中最大纠缠态greenberger - horn - zeilinger （GHZ）。提出了一种多指令单数据（MISD）控制框架，并利用超精细的镱-171 （\(^{171}\text {Yb}^{+}\)）离子基态对一阶磁场波动引起的噪声不敏感实现了该框架。全局纠缠Molmer-Sorensen操作和单量子位旋转解释了集体振动声子模离子相互作用。我们通过产生含有\(1.73 \times 10^{3}\) Hz泄漏噪声的脉冲序列来证明状态的弹性，以减轻由激光诱导的退相干和量子比特串扰引起的误差。结果表明，该方法有效地建立了GHZ态，保真度达到96.42% extending the operational scope of trapped-ion quantum systems towards practical quantum information processing.
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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