Advanced quantum technologies最新文献

{"title":"Interface-Level Transcript-Assisted Leakage in Raw-Feedback BB84-State Quantum Identity Authentication","authors":"Shiyu He,&nbsp;Bin Liu,&nbsp;Wei Huang,&nbsp;Bingjie Xu,&nbsp;Yang Li,&nbsp;Wenzhu Shao,&nbsp;Tao Sun","doi":"10.1002/qute.70386","DOIUrl":"https://doi.org/10.1002/qute.70386","url":null,"abstract":"<div>\u0000 \u0000 <p>Quantum identity authentication (QIA) can provide quantum-interface evidence for quantum secure communication, but its interaction with public transcript handling remains insufficiently characterized. This work analyzes a raw-feedback QIA interface based on BB84 states and operating over an authenticated classical channel, where transcript integrity is protected but receiver feedback is public. First, we establish a no-feedback benchmark: direct impersonation reduces to binary discrimination of value-conditioned BB84 mixed states, for which unambiguous state discrimination is impossible and maximum-confidence discrimination gives no forced-response advantage over minimum-error discrimination. Second, we identify a transcript-conditioned leakage mechanism: when an adversary retains a quantum auxiliary system, public raw feedback can condition that system into a pure-state discrimination instance for basis-selection information. We quantify this leakage using guessing probability, conditional min-entropy, accessible information, and an information-disturbance tradeoff. Third, we separate leakage from exploitation: the leakage becomes an impersonation advantage only under implementation deviations such as key-block reuse, weak session binding, abort-handling failure, or overly permissive thresholds. These results yield conservative authentication-length and threshold conditions for noisy and lossy optical implementations.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 8","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148752871","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":"Activate Genuine Nonlocality From Distinguishable Sets in Tripartite Systems","authors":"Hui-Juan Zuo,&nbsp;Ying-Ying Lu,&nbsp;Shao-Ming Fei","doi":"10.1002/qute.70382","DOIUrl":"https://doi.org/10.1002/qute.70382","url":null,"abstract":"<div>\u0000 \u0000 <p>A set of orthogonal quantum states in multipartite systems is of genuine nonlocality if it is locally indistinguishable in every bipartition. If it is locally reducible when the parties are separated, we say that it has genuine nonlocality of type I; otherwise, it has genuine nonlocality of type II. For a locally distinguishable set without local redundancy, if there exist some orthogonality preserving local measurements such that each outcome leads to a locally indistinguishable set, then we say that it exhibits the activation of nonlocality. We activate type-I and type-II genuine nonlocality of orthogonal product state sets in tripartite systems. In particular, we tackle the local irredundancy problem with partial trace operation and <span></span><math>\u0000 <semantics>\u0000 <mi>p</mi>\u0000 <annotation>$p$</annotation>\u0000 </semantics></math>-ary numeral systems to significantly simplify the proofs. Our results also address the open question raised by Bandyopadhyay et al. [Phys. Rev. A <b>104</b>, L050201 (2021)]. Furthermore, we observe the activation of hidden genuine nonlocality in multipartite systems, which highlights the applications of nonlocality based on state discrimination in different practical scenarios.</p>\u0000 </div>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"9 8","pages":""},"PeriodicalIF":4.3,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148752922","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":"Issue Information (Adv. Quantum Technol. 8/2026)","authors":"","doi":"10.1002/qute.70403","DOIUrl":"https://doi.org/10.1002/qute.70403","url":null,"abstract":"","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.70403","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662217","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":"Experimental Demonstration of Coherent Optical Storage via Precreated Macroscopic Coherence in Eu3+:Y2SiO5","authors":"Zhenqi Xu,&nbsp;Mucheng Guo,&nbsp;Zhehao Xu,&nbsp;Weiye Sun,&nbsp;Pengjun Liang,&nbsp;Zongquan Zhou,&nbsp;Shuping Liu,&nbsp;Fudong Wang,&nbsp;Manjin Zhong","doi":"10.1002/qute.70387","DOIUrl":"https://doi.org/10.1002/qute.70387","url":null,"abstract":"<p>We report the first experimental realization of phase-preserving optical storage based on the pre-created long-lived macroscopic coherence (PLMC) protocol in a <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Eu</mi>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mo>+</mo>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>${rm Eu}^{3+}$</annotation>\u0000 </semantics></math>:<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>Y</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <msub>\u0000 <mi>SiO</mi>\u0000 <mn>5</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>${rm Y}_2{rm SiO}_5$</annotation>\u0000 </semantics></math> crystal. In contrast to conventional photon-echo schemes that rely on population-based initialization, this protocol exploits a pre-established macroscopic spin coherence as the functional resource for optical storage and retrieval. We successfully observe the photon echo signal governed by the PLMC and achieve a fidelity of coherence preservation of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>98.0</mn>\u0000 <mo>±</mo>\u0000 <mn>1.7</mn>\u0000 <mo>%</mo>\u0000 </mrow>\u0000 <annotation>$98.0pm 1.7%$</annotation>\u0000 </semantics></math> for single-pulse input and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>&gt;</mo>\u0000 <mn>95</mn>\u0000 <mo>%</mo>\u0000 </mrow>\u0000 <annotation>$&gt;95%$</annotation>\u0000 </semantics></math> for two-pulse inputs. Crucially, we implement an active noise suppression scheme based on Stark modulation, which effectively eliminates parasitic coherent emissions and enhances the signal-to-noise ratio. These results establish macroscopic coherence as a practical resource for robust coherent optical storage, and provide a pathway toward high-performance quantum memories for scalable quantum communication and network applications.</p>","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.70387","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662503","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":"Secure Decentralized Key Relaying via Random Walks in Dynamic Semi-Trusted QKD Networks","authors":"Sergejs Kozlovičs,&nbsp;Krišjānis Petručeņa,&nbsp;Elina Kalnina,&nbsp;Juris Viksna","doi":"10.1002/qute.70393","DOIUrl":"https://doi.org/10.1002/qute.70393","url":null,"abstract":"<p>Due to distance and key-rate limitations, current quantum key distribution (QKD) technology requires the use of trusted nodes, which, together with QKD links, form a graph referred to as a QKD network. We address the problem of securely routing (relaying) keys between trusted nodes, where some of them can be malicious.</p><p>Existing solutions typically rely on centralized controllers, which simplify adaptive routing and congestion control but introduce single points of failure. Moreover, some proactive key-relay protocols distribute keys to multiple nodes in the network; thus, compromising a single node results in the compromise of the shared keys.</p><p>In this paper, we propose a decentralized, topology-oblivious key-relay algorithm based on random walks. Our algorithm provides information-theoretic security (ITS) for QKD network topologies having at least one non-malicious path between any pair of nodes (in particular, <span></span><math>\u0000 <semantics>\u0000 <mi>k</mi>\u0000 <annotation>$k$</annotation>\u0000 </semantics></math>-vertex-disjoint paths can tolerate malicious cartels of size <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <annotation>$k-1$</annotation>\u0000 </semantics></math>). Besides, it provides strong computational security guarantees for other topologies (even for graphs with malicious articulation points).</p><p>We evaluate the proposed algorithm on the GÉANT GN4-3N topology, which provides a realistic approximation of a multi-state cross-border topology for future QKD networks.</p>","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.70393","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662316","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":"Experimental Demonstration of Coherent Optical Storage via Precreated Macroscopic Coherence in Eu3+:Y2SiO5","authors":"Zhenqi Xu,&nbsp;Mucheng Guo,&nbsp;Zhehao Xu,&nbsp;Weiye Sun,&nbsp;Pengjun Liang,&nbsp;Zongquan Zhou,&nbsp;Shuping Liu,&nbsp;Fudong Wang,&nbsp;Manjin Zhong","doi":"10.1002/qute.70387","DOIUrl":"https://doi.org/10.1002/qute.70387","url":null,"abstract":"<p>We report the first experimental realization of phase-preserving optical storage based on the pre-created long-lived macroscopic coherence (PLMC) protocol in a <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Eu</mi>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mo>+</mo>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>${rm Eu}^{3+}$</annotation>\u0000 </semantics></math>:<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>Y</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <msub>\u0000 <mi>SiO</mi>\u0000 <mn>5</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>${rm Y}_2{rm SiO}_5$</annotation>\u0000 </semantics></math> crystal. In contrast to conventional photon-echo schemes that rely on population-based initialization, this protocol exploits a pre-established macroscopic spin coherence as the functional resource for optical storage and retrieval. We successfully observe the photon echo signal governed by the PLMC and achieve a fidelity of coherence preservation of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>98.0</mn>\u0000 <mo>±</mo>\u0000 <mn>1.7</mn>\u0000 <mo>%</mo>\u0000 </mrow>\u0000 <annotation>$98.0pm 1.7%$</annotation>\u0000 </semantics></math> for single-pulse input and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>&gt;</mo>\u0000 <mn>95</mn>\u0000 <mo>%</mo>\u0000 </mrow>\u0000 <annotation>$&gt;95%$</annotation>\u0000 </semantics></math> for two-pulse inputs. Crucially, we implement an active noise suppression scheme based on Stark modulation, which effectively eliminates parasitic coherent emissions and enhances the signal-to-noise ratio. These results establish macroscopic coherence as a practical resource for robust coherent optical storage, and provide a pathway toward high-performance quantum memories for scalable quantum communication and network applications.</p>","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.70387","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662495","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":"Enhanced Multiparameter Quantum Estimation in Cavity Magnomechanics via a Coherent Feedback Loop","authors":"Adnan Naimy,&nbsp;Abdallah Slaoui,&nbsp;Abderrahim Lakhfif,&nbsp;Rachid Ahl Laamara","doi":"10.1002/qute.70370","DOIUrl":"https://doi.org/10.1002/qute.70370","url":null,"abstract":"<div>\u0000 \u0000 <p>Multiparameter quantum metrology plays a fundamental role in uncovering and exploiting the distinctive features of quantum systems. In this work, we propose an effective and experimentally feasible scheme to significantly enhance the simultaneous quantum estimation of the photon-magnon and magnon-mechanical coupling strengths in a hybrid cavity-magnon-mechanical platform. Our approach relies on the assistance of a coherent feedback loop combined with the injection of a coherent driving field. We show that an appropriate tuning of the system and feedback parameters leads to a substantial reduction of the estimation errors associated with both coupling strengths. To quantify the metrological performance of the proposed scheme, we employ the quantum Cramér–Rao bound (QCRB) as a fundamental benchmark for multiparameter estimation. We explicitly compute and compare the QCRBs derived from the symmetric logarithmic derivative (SLD) and the right logarithmic derivative (RLD) formalisms. Our results demonstrate that the RLD-based QCRB is systematically lower than the SLD-based bound, indicating superior estimation precision in the considered noncommutative estimation scenario. We further analyze the performance of heterodyne detection and show that, in suitable parameter regimes, the corresponding classical estimation precision closely approaches the ultimate quantum limit predicted by our scheme. Finally, we discuss the experimental feasibility of the proposed setup within currently available cavity-magnon-mechanical platforms. Owing to its general character, the framework developed here can be readily extended to the high-precision estimation of other physical parameters in hybrid quantum systems.</p>\u0000 </div>","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":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662496","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":"Secure Decentralized Key Relaying via Random Walks in Dynamic Semi-Trusted QKD Networks","authors":"Sergejs Kozlovičs,&nbsp;Krišjānis Petručeņa,&nbsp;Elina Kalnina,&nbsp;Juris Viksna","doi":"10.1002/qute.70393","DOIUrl":"https://doi.org/10.1002/qute.70393","url":null,"abstract":"<p>Due to distance and key-rate limitations, current quantum key distribution (QKD) technology requires the use of trusted nodes, which, together with QKD links, form a graph referred to as a QKD network. We address the problem of securely routing (relaying) keys between trusted nodes, where some of them can be malicious.</p><p>Existing solutions typically rely on centralized controllers, which simplify adaptive routing and congestion control but introduce single points of failure. Moreover, some proactive key-relay protocols distribute keys to multiple nodes in the network; thus, compromising a single node results in the compromise of the shared keys.</p><p>In this paper, we propose a decentralized, topology-oblivious key-relay algorithm based on random walks. Our algorithm provides information-theoretic security (ITS) for QKD network topologies having at least one non-malicious path between any pair of nodes (in particular, <span></span><math>\u0000 <semantics>\u0000 <mi>k</mi>\u0000 <annotation>$k$</annotation>\u0000 </semantics></math>-vertex-disjoint paths can tolerate malicious cartels of size <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <annotation>$k-1$</annotation>\u0000 </semantics></math>). Besides, it provides strong computational security guarantees for other topologies (even for graphs with malicious articulation points).</p><p>We evaluate the proposed algorithm on the GÉANT GN4-3N topology, which provides a realistic approximation of a multi-state cross-border topology for future QKD networks.</p>","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.70393","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662497","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":"Enhanced Multiparameter Quantum Estimation in Cavity Magnomechanics via a Coherent Feedback Loop","authors":"Adnan Naimy,&nbsp;Abdallah Slaoui,&nbsp;Abderrahim Lakhfif,&nbsp;Rachid Ahl Laamara","doi":"10.1002/qute.70370","DOIUrl":"https://doi.org/10.1002/qute.70370","url":null,"abstract":"<div>\u0000 \u0000 <p>Multiparameter quantum metrology plays a fundamental role in uncovering and exploiting the distinctive features of quantum systems. In this work, we propose an effective and experimentally feasible scheme to significantly enhance the simultaneous quantum estimation of the photon-magnon and magnon-mechanical coupling strengths in a hybrid cavity-magnon-mechanical platform. Our approach relies on the assistance of a coherent feedback loop combined with the injection of a coherent driving field. We show that an appropriate tuning of the system and feedback parameters leads to a substantial reduction of the estimation errors associated with both coupling strengths. To quantify the metrological performance of the proposed scheme, we employ the quantum Cramér–Rao bound (QCRB) as a fundamental benchmark for multiparameter estimation. We explicitly compute and compare the QCRBs derived from the symmetric logarithmic derivative (SLD) and the right logarithmic derivative (RLD) formalisms. Our results demonstrate that the RLD-based QCRB is systematically lower than the SLD-based bound, indicating superior estimation precision in the considered noncommutative estimation scenario. We further analyze the performance of heterodyne detection and show that, in suitable parameter regimes, the corresponding classical estimation precision closely approaches the ultimate quantum limit predicted by our scheme. Finally, we discuss the experimental feasibility of the proposed setup within currently available cavity-magnon-mechanical platforms. Owing to its general character, the framework developed here can be readily extended to the high-precision estimation of other physical parameters in hybrid quantum systems.</p>\u0000 </div>","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":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148662266","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":"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":"&lt;p&gt;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&lt;/p&gt;&lt;p&gt;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.&lt;/p&gt;&lt;p&gt;12. A. Gilyén, Y. Su, G. H. Low, and N. Wiebe, “Quantum Singular Value Transformation and Beyond: Exponential Improvements for Quantum Matrix Arithmetics,” &lt;i&gt;arXiv preprint arXiv:1806.01838&lt;/i&gt; (2018), https://doi.org/10.48550/arXiv.1806.01838.&lt;/p&gt;&lt;p&gt;13. S. Chakraborty, A. Gilyén, and S. Jeffery, “The Power of Block-Encoded Matrix Powers: Improved Regression Techniques via Faster Hamiltonian Simulation,” &lt;i&gt;arXiv preprint arXiv:1804.01973&lt;/i&gt; (2018), https://doi.org/10.48550/arXiv.1804.01973.&lt;/p&gt;&lt;p&gt;24. R. Chao, D. Ding, A. Gilyén, C. Huang, and M. Szegedy, “Finding Angles for Quantum Signal Processing with Machine Precision,” &lt;i&gt;arXiv preprint arXiv:2003.02831&lt;/i&gt; (2020), https://doi.org/10.48550/arXiv.2003.02831.&lt;/p&gt;&lt;p&gt;29. S. Kumar, S. Chilkoti, and M. G. Majumdar, “A Symmetry-Based Taxonomy of Quantum Algorithms,” &lt;i&gt;arXiv preprint arXiv:2508.09236&lt;/i&gt; (2025), https://doi.org/10.48550/arXiv.2508.09236.&lt;/p&gt;&lt;p&gt;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,” &lt;i&gt;Physical Review X&lt;/i&gt; 8, no. 4 (2018): 041015, https://doi.org/10.1103/PhysRevX.8.041015.&lt;/p&gt;&lt;p&gt;35. S. Aaronson, “Shadow Tomography of Quantum States,” in &lt;i&gt;Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing (STOC ’18)&lt;/i&gt; (Association for Computing Machinery, New York, NY, USA, 2018), 325–338, https://doi.org/10.1145/3188745.3188802.&lt;/p&gt;&lt;p&gt;40. L. Lin and Y. Tong, “Heisenberg-Limited Ground-State Energy Estimation for Early Fault-Tolerant Quantum Computers,” &lt;i&gt;PRX Quantum&lt;/i&gt; 3, no. 1 (2022): 010318, https://doi.org/10.1103/PRXQuantum.3.010318.&lt;/p&gt;&lt;p&gt;41. G. H. Low and Y. Su, “Quantum Eigenvalue Processing,” &lt;i&gt;SIAM Journal on Computing&lt;/i&gt; 55 (2026): 135–215, https://doi.org/10.1137/24M1689363.&lt;/p&gt;&lt;p&gt;44. D. E. Koh and S. Grewal, “Classical Shadows with Noise,” &lt;i&gt;Quantum&lt;/i&gt; 6 (2022): 776, https://doi.org/10.22331/q-2022-08-16-776.&lt;/p&gt;&lt;p&gt;45. S. Chen, W. Yu, P. Zeng, and S. T. Flammia, “Robust Shadow Estimation,” &lt;i&gt;PRX Quantum&lt;/i&gt; 2, no. 3 (2021): 030348, https://doi.org/10.1103/PRXQuantum.2.030348.&lt;/p&gt;&lt;p&gt;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,” &lt;i&gt;Science&lt;/i&gt; 376, no. 6598 (2022): 1182–1186, https://doi.org/10.1126/science.abn7293.&lt;/p&gt;&lt;p&gt;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":"148662499","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}