{"title":"Correction to “From Quantum Algorithm Primitives to Design Patterns: A Unified Framework for NISQ and Fault-Tolerant Regimes”","authors":"","doi":"10.1002/qute.70388","DOIUrl":"https://doi.org/10.1002/qute.70388","url":null,"abstract":"<p>S. Miriyala and V. R. Chirra, “ From Quantum Algorithm Primitives to Design Patterns: A Unified Framework for NISQ and Fault-Tolerant Regimes.” Advanced Quantum Technologies 9, no. 6 (2026): e70310. https://doi.org/10.1002/qute.70310</p><p>Some inadvertent errors were identified in the reference list, affecting certain author names, article titles, and publication details. The corrected reference entries are provided below. These corrections are bibliographic in nature and do not affect the scientific content, interpretation, or conclusions of the article.</p><p>12. A. Gilyén, Y. Su, G. H. Low, and N. Wiebe, “Quantum Singular Value Transformation and Beyond: Exponential Improvements for Quantum Matrix Arithmetics,” <i>arXiv preprint arXiv:1806.01838</i> (2018), https://doi.org/10.48550/arXiv.1806.01838.</p><p>13. S. Chakraborty, A. Gilyén, and S. Jeffery, “The Power of Block-Encoded Matrix Powers: Improved Regression Techniques via Faster Hamiltonian Simulation,” <i>arXiv preprint arXiv:1804.01973</i> (2018), https://doi.org/10.48550/arXiv.1804.01973.</p><p>24. R. Chao, D. Ding, A. Gilyén, C. Huang, and M. Szegedy, “Finding Angles for Quantum Signal Processing with Machine Precision,” <i>arXiv preprint arXiv:2003.02831</i> (2020), https://doi.org/10.48550/arXiv.2003.02831.</p><p>29. S. Kumar, S. Chilkoti, and M. G. Majumdar, “A Symmetry-Based Taxonomy of Quantum Algorithms,” <i>arXiv preprint arXiv:2508.09236</i> (2025), https://doi.org/10.48550/arXiv.2508.09236.</p><p>32. R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, “Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity,” <i>Physical Review X</i> 8, no. 4 (2018): 041015, https://doi.org/10.1103/PhysRevX.8.041015.</p><p>35. S. Aaronson, “Shadow Tomography of Quantum States,” in <i>Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing (STOC ’18)</i> (Association for Computing Machinery, New York, NY, USA, 2018), 325–338, https://doi.org/10.1145/3188745.3188802.</p><p>40. L. Lin and Y. Tong, “Heisenberg-Limited Ground-State Energy Estimation for Early Fault-Tolerant Quantum Computers,” <i>PRX Quantum</i> 3, no. 1 (2022): 010318, https://doi.org/10.1103/PRXQuantum.3.010318.</p><p>41. G. H. Low and Y. Su, “Quantum Eigenvalue Processing,” <i>SIAM Journal on Computing</i> 55 (2026): 135–215, https://doi.org/10.1137/24M1689363.</p><p>44. D. E. Koh and S. Grewal, “Classical Shadows with Noise,” <i>Quantum</i> 6 (2022): 776, https://doi.org/10.22331/q-2022-08-16-776.</p><p>45. S. Chen, W. Yu, P. Zeng, and S. T. Flammia, “Robust Shadow Estimation,” <i>PRX Quantum</i> 2, no. 3 (2021): 030348, https://doi.org/10.1103/PRXQuantum.2.030348.</p><p>47. H.-Y. Huang, M. Broughton, J. Cotler, S. Chen, J. Li, M. Mohseni, H. Neven, R. Babbush, R. Kueng, J. Preskill, and J. R. McClean, “Quantum Advantage in Learning from Experiments,” <i>Science</i> 376, no. 6598 (2022): 1182–1186, https://doi.org/10.1126/science.abn7293.</p><p>5","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 8","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/qute.70388","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Claudia De Lazzari, Tecla Gabbrielli, Natalia Bruno, Francesco Cappelli, Domenico Ribezzo, Nicola Biagi, Nicola Corrias, Simone Borri, Mario Siciliani de Cumis, Paolo De Natale, Davide Bacco, Alessandro Zavatta
{"title":"Front Cover: Free-Space Time-Bin Encoded Quantum Key Distribution from Near- to Mid-Infrared Wavelengths (Adv. Quantum Technol. 7/2026)","authors":"Claudia De Lazzari, Tecla Gabbrielli, Natalia Bruno, Francesco Cappelli, Domenico Ribezzo, Nicola Biagi, Nicola Corrias, Simone Borri, Mario Siciliani de Cumis, Paolo De Natale, Davide Bacco, Alessandro Zavatta","doi":"10.1002/qute.70389","DOIUrl":"https://doi.org/10.1002/qute.70389","url":null,"abstract":"<p>Conceptual illustration of a mid-infrared free space optical link for quantum key distribution. Two telescopes exchange quantum signals encoded in photonic states through the atmosphere, enabling secure symmetric key exchange over the quantum channel. The mid-infrared offers strong resilience to adverse atmospheric conditions, as visually suggested by a storm cloud partially disturbing the propagating beam. More in article number e00867, Claudia De Lazzari, Tecla Gabbrielli, and co-workers.\u0000\u0000 <figure>\u0000 <div><picture>\u0000 <source></source></picture><p></p>\u0000 </div>\u0000 </figure></p>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/qute.70389","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148616797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Post-Selection Scheme for Quantum Optical Coherence Tomography With Multimode Coherent State","authors":"Qian Li, Rong Wang, Jianning Han","doi":"10.1002/qute.70359","DOIUrl":"https://doi.org/10.1002/qute.70359","url":null,"abstract":"<div>\u0000 \u0000 <p>Quantum optical coherence tomography (QOCT) has received significant attention due to its immunity to even-order dispersion and its ability to double the resolution compared to conventional optical coherence tomography (OCT). However, QOCT typically relies on nonlinear processes to generate frequency-correlated photon pairs as a probe state. The high-power pump laser requirement poses a major barrier to practical implementations of QOCT. In this paper, we propose the substitution of spectrally correlated photon pairs in QOCT with the weak multimode coherent state as the input source. Through integration with post-selective spectral-domain measurement techniques, we demonstrate that our scheme preserves the advantages of QOCT, including even-order dispersion cancellation and a two-fold increase in resolution. The key advantage of our scheme is its removal of the requirement for nonlinear-process-generated spectrally correlated photon pairs as the light source. This advancement is particularly beneficial for practical applications of QOCT.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhouxin Li, Libin Zeng, Han Wang, Yiming Shi, Junhua Meng, Ji Jiang, Aoxing Wang, Hua Feng, Zhigang Yin, Xingwang Zhang
{"title":"Plasmonic Enhanced Single Photon Emission in Hexagonal Boron Nitride via Ag Nanoparticles","authors":"Zhouxin Li, Libin Zeng, Han Wang, Yiming Shi, Junhua Meng, Ji Jiang, Aoxing Wang, Hua Feng, Zhigang Yin, Xingwang Zhang","doi":"10.1002/qute.70374","DOIUrl":"https://doi.org/10.1002/qute.70374","url":null,"abstract":"<div>\u0000 \u0000 <p>With the rapid development of quantum technologies such as quantum computing and quantum communication, the demand for high-brightness single-photon sources continues to grow. Although solid-state platforms, particularly hexagonal boron nitride (h-BN), have shown great promise for room-temperature single-photon emission, achieving high brightness in a scalable, repeatable, and cost-effective manner remains challenging. Plasmonic engineering has emerged as an effective route, yet many existing approaches rely on complex nanofabrication or pre-synthesized nanostructures with limited statistical validation. Here, we report a simple and efficient approach to enhance single-photon emission in h‑BN using locally enhanced plasmonic effects from Ag nanoparticles fabricated by thermal annealing of thin Ag films. This method is lithography-free, wafer-scale compatible, and requires only standard sputtering and annealing steps. Through statistical analysis of dozens of emitters, we demonstrate an average 6-fold enhancement in single-photon emission intensity and a remarkable reduction in radiative lifetime, while maintaining high single-photon purity. Compared with prior plasmonic approaches that often report enhancement on selected emitters or rely on more complex fabrication, our work provides a statistically robust, easily implementable, and cost-effective platform for boosting single‑photon emission in solid‑state systems, with potential for scalable quantum photonic applications.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Daris Alfafa, Michiharu Tabe, Yukinori Ono, Arief Udhiarto, Daniel Moraru
{"title":"Electron-Wave Interference in Zener Tunneling Induced by Dopant Clusters in Silicon pn Junctions","authors":"Daris Alfafa, Michiharu Tabe, Yukinori Ono, Arief Udhiarto, Daniel Moraru","doi":"10.1002/qute.70371","DOIUrl":"https://doi.org/10.1002/qute.70371","url":null,"abstract":"<p>In the Zener tunneling regime of silicon (Si) nanoscale <i>pn</i> junctions with high dopant concentrations, small but evident quasi-periodic current oscillations were found at low temperatures, superimposed on the conventional band-to-band tunneling (BTBT) current-voltage characteristics. This oscillatory component is ascribed to the interference of the tunneling electron waves inside the depletion region, as supported by the experimental and analytical study of the temperature dependence. The amplitude of the current oscillations decreases with increasing temperature in a way consistent with enhanced decoherence (phase breaking) of electron waves by phonon scattering. The interference originates from the partial reflection of electron waves due to the irregularly shaped potential profile in the depletion region containing a step-like potential shape induced by a dopant cluster. Statistical calculations of random dopant distributions for parameters consistent with the experiment suggest that donor clusters are the most likely origin of the potential irregularities.</p>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/qute.70371","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Polynice Diffo Nguedia, Alain Jerve Fotue, Maurice Tiotsop
{"title":"Confinement-Engineered CdSe Quantum-Rod Qubits with Pareto-Optimized Coherence, Gate Speed, and Fabrication Robustness","authors":"Polynice Diffo Nguedia, Alain Jerve Fotue, Maurice Tiotsop","doi":"10.1002/qute.70363","DOIUrl":"https://doi.org/10.1002/qute.70363","url":null,"abstract":"<div>\u0000 \u0000 <p>A confinement-engineered design framework is developed for CdSe quantum-rod qubits by treating the radius <span></span><math>\u0000 <semantics>\u0000 <mi>R</mi>\u0000 <annotation>$R$</annotation>\u0000 </semantics></math> and aspect ratio <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>η</mi>\u0000 <mo>=</mo>\u0000 <mi>L</mi>\u0000 <mo>/</mo>\u0000 <mo>(</mo>\u0000 <mn>2</mn>\u0000 <mi>R</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$eta = L/(2R)$</annotation>\u0000 </semantics></math> as independent control parameters. The qubit is encoded in the two lowest axially confined orbital states; finite-barrier and dielectric-mismatch corrections (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>f</mi>\u0000 <mi>dm</mi>\u0000 </msub>\u0000 <mo>=</mo>\u0000 <mn>1.20</mn>\u0000 </mrow>\u0000 <annotation>$f_{mathrm{dm}} = 1.20$</annotation>\u0000 </semantics></math>) shift the coherence ridge by only <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>Δ</mi>\u0000 <mi>R</mi>\u0000 <mo>≈</mo>\u0000 <mn>0.2</mn>\u0000 </mrow>\u0000 <annotation>$Delta R approx 0.2$</annotation>\u0000 </semantics></math> nm without altering the Pareto topology, as confirmed by a new corrected <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>T</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <annotation>$T_2$</annotation>\u0000 </semantics></math> sub-panel (Figure 3b). Phonon-induced relaxation is modeled through deformation-potential, piezoelectric, and Fröhlich channels within a Born–Markov framework whose validity is verified throughout the design space. Mapping the full <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>R</mi>\u0000 <mo>,</mo>\u0000 <mi>η</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(R,eta)$</annotation>\u0000 </semantics></math> plane reveals a coherence ridge near <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>R</mi>\u0000 <mo>≈</mo>\u0000 <mn>3</mn>\u0000 </mrow>\u0000 <annotation>$R approx 3$</annotation>\u0000 </semantics></math> nm, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>η</mi>\u0000 <mo>≈</mo>\u0000 <mn>5</mn>\u0000 </mrow>\u0000 <annotation>$eta approx 5$</annotation>\u0000 </semantics></math>, where the phonon-relaxation","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exploring Three-Photon Resonance and Generating Squeezed-Light Entanglement via Parametric Amplification","authors":"Qin-Ru Cheng, Ke-Xiong Yan, Yuan Qiu, Yi-Tong Shi, Zhe-Ping Zhang, Yan Xia, Ye-Hong Chen","doi":"10.1002/qute.70366","DOIUrl":"https://doi.org/10.1002/qute.70366","url":null,"abstract":"<div>\u0000 \u0000 <p>We propose an efficient and robust protocol for the generation of entanglement between a superconducting qubit and a squeezed cavity. By applying a parametric drive to the cavity coupled to the qubit, the dynamical evolution of the system is precisely described by an anisotropic Rabi model within a squeezed reference frame. Utilizing time-averaging methods, we analytically derive the resonance conditions and the effective Rabi frequency for the high-order three-photon process. By implementing an adiabatic passage, slowly tuning the cavity frequency across the resonance, the system is steered into a maximally entangled state, e.g., between the three-photon state <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>|</mo>\u0000 <mrow>\u0000 <mi>g</mi>\u0000 <mo>,</mo>\u0000 <mn>3</mn>\u0000 </mrow>\u0000 <mo>⟩</mo>\u0000 </mrow>\u0000 <annotation>$mathinner {|{g,3}rangle }$</annotation>\u0000 </semantics></math> and the qubit excited state <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>|</mo>\u0000 <mrow>\u0000 <mi>e</mi>\u0000 <mo>,</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 <mo>⟩</mo>\u0000 </mrow>\u0000 <annotation>$mathinner {|{e,0}rangle }$</annotation>\u0000 </semantics></math> in the squeezed picture. Numerical simulations confirm that the target state can be prepared with a population close to 1 under ideal conditions, and even in the presence of realistic environmental noise, an appreciable state fidelity of 0.77 and an entanglement concurrence of 0.71 can still be preserved, demonstrating the high robustness of our protocol. Our method provides a practical pathway for generating complex non-Gaussian entangled states, which are of significant value for fault-tolerant quantum computation and quantum metrology beyond the standard quantum limit.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantum-State Block Texture and its Quantification","authors":"Yanjun Chu, Yuhang Xie, Chenyang Cui, Shao-Ming Fei","doi":"10.1002/qute.70369","DOIUrl":"https://doi.org/10.1002/qute.70369","url":null,"abstract":"<div>\u0000 \u0000 <p>Quantum-state texture (QST) is an emerging quantum resource that has garnered increasing attention amid advances in quantum theory. In this work, we generalize the QST to quantum-state block texture (QSBT). This generalization provides profound operational interpretations for quantifying the advantages of quantum states in quantum information processing. We pioneer an alternative framework for characterizing and quantifying quantum-state block texture, and propose three types of block texture measures. By comparing these QSBT measures, we investigate their distinctions and interrelationships. We demonstrate that the geometric measure serves as an upper bound for the trace distance-based measure. For a specific family of quantum states, we evaluate the values of two trace distance-based measures. Then we sample four sets of data from this family of states, with each set comprising <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>5</mn>\u0000 <mo>×</mo>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mn>4</mn>\u0000 </msup>\u0000 <mo>,</mo>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mn>5</mn>\u0000 </msup>\u0000 <mo>,</mo>\u0000 <mn>5</mn>\u0000 <mo>×</mo>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mn>5</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$5times 10^4, 10^5, 5times 10^5$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mn>10</mn>\u0000 <mn>6</mn>\u0000 </msup>\u0000 <annotation>$10^6$</annotation>\u0000 </semantics></math> samples, respectively, and present the corresponding distributions. Our results reveal that the QSBT measures constructed via different approaches show distinct characteristics, indicating their potential roles in quantifying the block texture of quantum states.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Entanglement Purification For Arbitrary Multipartite High-Dimensional Greenberger-Horne-Zeilinger State","authors":"Yu-Qing Kong, Jia-Ye Liu, Hui-Hui Kong, Hai-Rui Wei","doi":"10.1002/qute.70364","DOIUrl":"https://doi.org/10.1002/qute.70364","url":null,"abstract":"<div>\u0000 \u0000 <p>High-dimensional qudit (i.e., <span></span><math>\u0000 <semantics>\u0000 <mi>d</mi>\u0000 <annotation>$d$</annotation>\u0000 </semantics></math>-level or <span></span><math>\u0000 <semantics>\u0000 <mi>d</mi>\u0000 <annotation>$d$</annotation>\u0000 </semantics></math>-state) systems outperform 2D qubit (i.e., two-level or two-state) systems in some quantum information processing tasks. We exploit entanglement purification protocols (EPPs) for extracting a subset of high-quality arbitrary <span></span><math>\u0000 <semantics>\u0000 <mi>d</mi>\u0000 <annotation>$d$</annotation>\u0000 </semantics></math>-dimensional <span></span><math>\u0000 <semantics>\u0000 <mi>n</mi>\u0000 <annotation>$n$</annotation>\u0000 </semantics></math>-partite Greenberger-Horne-Zeilinger (GHZ) states from a large set of less entangled GHZ states. In our protocols, qudit-flip and phase-flip errors can be corrected, and the fidelity of the output state can be asymptotically improved to unity by iterating the EPP process. Moreover, the schemes are immune to the number of polluted photons, the fidelity thresholds of the proposed EPPs are developed, and the spatial-based single-qudit operations can be well manipulated with a range of balanced beam splitters, and phase shifters. These features make the proposed schemes offer an alternative method for high-dimensional multipartite entanglement purification.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 7","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}