[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-328008-105":59,"doc-detail-328008-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","hamqasbench-a-hamiltonian-informed-diagnostic-benchmark-for-evaluating-quantum-architecture-search","HamQASBench - A Hamiltonian-Informed Diagnostic Benchmark for Evaluating Quantum Architecture Search","","Quantum Architecture Search (QAS) automatically designs parameterized quantum circuits for variational quantum algorithms, but existing benchmarks categorize instances by molecule identity or qubit count and judge performance only by energy accuracy. Such metrics miss structural failures, including over-parameterization for near-product ground states. HAMQASBench introduces Hamiltonian-informed tiering of 11 molecules using Pauli-basis fingerprints, computational-basis representation, and ground-state entanglement. It adds post-hoc minimal-circuit extraction plus per-qubit entanglement and fidelity analysis, exposing failure modes across five QAS methods.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/hamqasbench-a-hamiltonian-informed-diagnostic-benchmark-for-evaluating-quantum-architecture-search/328008/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/hamqasbench-a-hamiltonian-informed-diagnostic-benchmark-for-evaluating-quantum-architecture-search/328008.png","ImageObject",300,407,{"name":92,"@type":93},"River Wang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-21",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What limitation do existing QAS benchmarks have?","Question",{"text":113,"@type":114},"They usually organize molecules by identity or qubit count and evaluate only energy accuracy, which cannot reveal structural failures such as over-parameterization on near-product ground states.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does HAMQASBench organize molecules?",{"text":118,"@type":114},"It builds Hamiltonian structural fingerprints from three views of the qubit Hamiltonian—Pauli operator basis properties, computational basis representation, and ground-state correlation/entanglement—then assigns 11 molecules into five structural tiers.",{"name":120,"@type":111,"acceptedAnswer":121},"What additional diagnostics does HAMQASBench use beyond energy?",{"text":122,"@type":114},"It performs post-hoc critical-structure extraction to find minimal circuits consistent with each tier, and complements energy-based evaluation with per-qubit entanglement analysis and pairwise state fidelity.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},328008,1790301062,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146,"preview_page_count":4},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","arXiv :2607 .04845v1 [ quant-ph] 6 Jul 2026  \nHamQASBench: A Hamiltonian-Informed Diagnostic Benchmark for Evaluating Quantum Architecture  \nSearch  \nJiayang Niu∗  \nSchool of Computing Technologies RMIT University  \n[s4068570@student.rmit.edu.au](s4068570@student.rmit.edu.au)  \nJie Li  \nSchool of Computing Technologies RMIT University  \n[hey.jieli@gmail.com](hey.jieli@gmail.com)  \nAkib Karim∗ Quantum Systems Data61, CSIRO  \n[akib.karim@csiro.au](akib.karim@csiro.au)  \nKe Deng  \nSchool of Computing Technologies RMIT University  \n[ke.deng@rmit.edu.au](ke.deng@rmit.edu.au)  \nYan Wang  \nSchool of Computing Technologies RMIT University  \n[s3646791@student.rmit.edu.au](s3646791@student.rmit.edu.au)  \nAzadeh Alavi  \nSchool of Computing Technologies RMIT University  \n[azadeh.alavi@rmit.edu.au](azadeh.alavi@rmit.edu.au)  \nMuhammad Usman Yongli Ren  \nQuantum Systems School of Computing Technologies  \nData61, CSIRO RMIT University  \n[muhammad.usman@csiro.au](muhammad.usman@csiro.au) [yongli.ren@rmit.edu.au](yongli.ren@rmit.edu.au)  \nAbstract  \nQuantum Architecture Search (QAS) automates the design of parameterized quantum circuits for variational quantum algorithms, yet existing benchmarks organize instances by molecular identity or qubit count—criteria agnostic to Hamiltonian structure—and rely solely on energy accuracy, which cannot detect structural failures such as over-parameterization on near-product ground states. We introduce HAMQASBENCH, a Hamiltonian-informed diagnostic benchmark organizing 11 molecules into five structural tiers via fingerprints derived from the Pauli operator basis, computational basis representation, and ground-state entanglement. A post-hoc critical-structure extraction procedure identifies minimal circuits consistent with each tier’s requirements, complementing energy-based evaluation with per-qubit entanglement analysis and pairwise state fidelity. Benchmarking five QAS methods across four paradigms reveals failure modes invisible to conventional metrics: over-parameterization in the minimalism regime, eigenstate commitment under degeneracy, a representation bottleneck in strongly correlated systems, topology-induced routing failure, and circuit search space growth as ascalability bottleneck.  \n1 Introduction  \nIn the noisy intermediate-scale quantum (NISQ) era [1], variational quantum algorithms (VQAs) have emerged as the leading paradigm for near-term quantum computation [2, 3] . Among these, the Variational Quantum Eigensolver (VQE) is particularly prominent for applications in quantum chemistry, where it is used to estimate molecular ground-state energies. Their effectiveness critically depends on the design of the underlying parameterized quantum circuit (PQC), or ansatz: a poorly chosen circuit structure lead to barren plateaus, insufficient expressivity, or excessive gate overhead [4, 5] . While fixed ansatz families such as hardware-efficient [6] and problem-inspired [7] templates have been proposed, they often require expert knowledge to construct and may generalize poorly across  \nmolecular instances and hardware configurations. These limitations motivate Quantum Architecture ∗Equal contribution.  \nPreprint.  \nSearch (QAS) [8–12], which aims to automatically discover circuit structures tailored to a given problem.  \nA central downstream task of QAS is ground-state energy estimation via VQE [13, 2, 3]: given a molecular qubit Hamiltonian H , find a circuit C minimizing ⟨C(θ∗ )|H|C(θ∗ )⟩, where solutions within 1.6 mHa of the true ground-state energy E0 are said to achieve chemical accuracy [13] . The quality of this estimate is therefore jointly determined by two factors: whether the circuit C is sufficiently expressive to represent the target ground state, and whether the classical optimizer can find suitable parameters θ ∗ within that circuit. Critically, the structural requirements on C are not uniform across problem instances—they are governed by the properties of the Hamiltonian H itself [14","cbCaiuRxGLHBhEzD","https://ap.wps.com/l/cbCaiuRxGLHBhEzD","pdf",736407,23,"English","# Abstract\n# 1 Introduction","[{\"question\":\"What limitation do existing QAS benchmarks have?\",\"answer\":\"They usually organize molecules by identity or qubit count and evaluate only energy accuracy, which cannot reveal structural failures such as over-parameterization on near-product ground states.\"},{\"question\":\"How does HAMQASBench organize molecules?\",\"answer\":\"It builds Hamiltonian structural fingerprints from three views of the qubit Hamiltonian—Pauli operator basis properties, computational basis representation, and ground-state correlation/entanglement—then assigns 11 molecules into five structural tiers.\"},{\"question\":\"What additional diagnostics does HAMQASBench use beyond energy?\",\"answer\":\"It performs post-hoc critical-structure extraction to find minimal circuits consistent with each tier, and complements energy-based evaluation with per-qubit entanglement analysis and pairwise state fidelity.\"}]","HamQASBench - A Hamiltonian-Informed Diagnostic Benchmark for Evaluating Quantum Architecture Search | PDF",1789978482,58]