[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-81784-en":3,"doc-seo-81784-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":13,"seo_description":14,"update_tm":28,"read_time":29},81784,549758252649,"Ivy","https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819",8,"Research & Report","Synthesizing Compound Pulse Gadgets for Hamiltonian Simulation on Trapped-Ion Platforms","Standard gate-level transpilation adds substantial physical noise and control overhead, limiting the performance of high-precision near-term quantum algorithms such as Quantum Singular Value Transformation (QSVT) on trapped-ion hardware. This work proposes a holistic pulse synthesis strategy that compiles algorithms directly into continuous compound pulse gadgets, bypassing discrete gate-stitching. A proof-of-concept targets Hamiltonian simulation of the H2 molecule using block-encoding in a QSVT circuit and GRAPE-based pulse generation. Noisy Lindblad master-equation simulations show temporal compression and reduced control-layer latency, enabling deeper circuits under decoherence constraints.","Synthesizing Compound Pulse Gadgets for Hamiltonian Simulation on Trapped-Ion Platforms  \nRia Patel 1 , Masoud Hakimi Heris2 , Yuan Liu 1 ,2 ,3 , Frank Mueller1  \n1Department of Computer Science, North Carolina State University, Raleigh, NC 27695, USA  \n2Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC 27695, USA  \n3Department of Physics, North Carolina State University, Raleigh, NC 27695, USA Corresponding authors: Ria Patel ([rpatel38@ncsu.edu](rpatel38@ncsu.edu)), Frank Mueller ([fmuelle@ncsu.edu](fmuelle@ncsu.edu))  \narXiv :2607 .00826v1 [ quant-ph] 1 Jul 2026  \nAbstract—Standard gate-level transpilation introduces significant physical noise and overhead for high-precision quantum algorithms, such as the Quantum Singular Value Transformation (QSVT), on near-term trapped-ion hardware. Current compilers treat quantum operations as discrete units, forcing the physical control layer to execute highly fragmented laser pulses. To address this hardware-software disconnect, this work introduces a holistic pulse synthesis strategy that bypasses discrete gate-stitching to compile algorithms directly into continuous compound pulse gadgets. As a proof-of-concept, we target Hamiltonian simulation of the H2 molecule, block-encoding the problem into a QSVT circuit to approximate the time-evolution operator U = e −iHt across 3 computational ions (2 system, 1 ancilla). We utilize the Gradient Ascent Pulse Engineering (GRAPE) algorithm to generate these compound gadgets and evaluate our methodology using noisy Lindblad master equation simulations. Preliminary observations indicate that the proposed strategy achieves significant temporal compression, reducing the total pulse schedule duration compared to standard compilers. Furthermore, synthesizing operations holistically eliminates the control-layer latency associated with discrete pulse lookup overhead. By streamlining the physical control schedule, this methodology offers a promising pathway to execute operations faster, highlighting the potential for compound gadgets to increase the computational depth achievable within fundamental T2 decoherence limits.  \nIndex Terms—Quantum Singular Value Transformation (QSVT), Hamiltonian Simulation, Trapped-Ion Hardware, Quantum Control, Analog Pulse Shaping, Open-System Dynamics.  \nI. INTRODUCTION  \nStandard gate-level transpilation introduces significant overhead, severely bottlenecking high-precision algorithms like the Quantum Singular Value Transformation (QSVT) [1], [2] . QSVT provides a unified mathematical paradigm for executing optimal quantum algorithms by interleaving a block-encoded non-unitary matrix UA with parameterized projector rotations Rϕ to apply polynomial transformations to the embedded singular values [3], [4], [5] . While mathematically elegant and theoretically optimal [6], QSVT produces exceptionally deep circuits. Current compiler stacks [7] treat these dense, alternating blocks as discrete mathematical abstractions, resulting in massive circuit depth that is at odds with the short decoherence limits of near-term hardware.  \nMapping these discrete operations to trapped-ion hardware forces the physical control layer to execute sharp, highly fragmented laser pulses. Trapped-ion systems encode discretevariable (DV) logic in atomic energy levels while utilizing  \ncontinuous-variable (CV) motional modes (phonons) for multiqubit entangling operations like Mølmer-Sørensen (MS) gates. This exposes computations to T2 dephasing and anomalous motional heating. Standard discrete transpilation exacerbates heating by executing highly discontinuous square waves that require massive peak laser power and sub-microsecond optical switching. These sharp time-domain edges leak broadband frequency noise to outside the computational subspace, rapidly degrading the quantum state [8] .  \nWhile advanced synthesis frameworks like BQSKit [7] excel at algebraic unitary resynthesis to minimize discrete gat","cbCaifm1QyiUGE7T","https://ap.wps.com/l/cbCaifm1QyiUGE7T","pdf",946081,3,1,5,"English","en",105,"# Introduction\n## Quantum Singular Value Transformation and gate-level overhead\n## Trapped-ion hardware constraints and noise sources\n## Gap in existing synthesis and control approaches\n## Holistic pulse-level compilation approach\n## Summary of contributions","[{\"question\":\"Why does standard gate-level transpilation hinder QSVT on trapped-ion hardware?\",\"answer\":\"It introduces large overhead and forces fragmented control, producing significant physical noise. Dense, alternating blocks become deep circuits that conflict with near-term decoherence limits.\"},{\"question\":\"What is the key idea of the proposed pulse synthesis strategy?\",\"answer\":\"It bypasses discrete gate-stitching by compiling full algorithmic blocks into continuous compound pulse gadgets at the physical control layer.\"},{\"question\":\"How is the method evaluated and what benefits are observed?\",\"answer\":\"The authors synthesize a 3-ion Hamiltonian simulation for the H2 molecule using block-encoding in a QSVT circuit and generate pulses with GRAPE. Noisy Lindblad simulations indicate reduced total pulse duration (temporal compression) and elimination of control-layer lookup latency, supporting deeper computation within T2 limits.\"}]",1784176121,13,{"code":4,"msg":31,"data":32},"ok",{"site_id":25,"language":24,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"synthesizing-compound-pulse-gadgets-for-hamiltonian-simulation-on-trapped-ion-platforms","",{"@graph":36,"@context":85},[37,53,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,50],{"item":41,"name":42,"@type":43,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":20},"https://docshare.wps.com/document/research-report/",{"item":51,"name":13,"@type":43,"position":52},"https://docshare.wps.com/document/synthesizing-compound-pulse-gadgets-for-hamiltonian-simulation-on-trapped-ion-platforms/81784/",4,{"url":51,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":24,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-24","2026-07-16",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"Why does standard gate-level transpilation hinder QSVT on trapped-ion hardware?","Question",{"text":75,"@type":76},"It introduces large overhead and forces fragmented control, producing significant physical noise. Dense, alternating blocks become deep circuits that conflict with near-term decoherence limits.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"What is the key idea of the proposed pulse synthesis strategy?",{"text":80,"@type":76},"It bypasses discrete gate-stitching by compiling full algorithmic blocks into continuous compound pulse gadgets at the physical control layer.",{"name":82,"@type":73,"acceptedAnswer":83},"How is the method evaluated and what benefits are observed?",{"text":84,"@type":76},"The authors synthesize a 3-ion Hamiltonian simulation for the H2 molecule using block-encoding in a QSVT circuit and generate pulses with GRAPE. Noisy Lindblad simulations indicate reduced total pulse duration (temporal compression) and elimination of control-layer lookup latency, supporting deeper computation within T2 limits.","https://schema.org",{"og:url":51,"og:type":87,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":89,"canonical":51},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":92},[93,97,101,105,109,114,119,122,127,130,134],{"id":21,"doc_module":4,"doc_module_name":46,"category_name":94,"show_sort_weight":95,"slug":96},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":98,"show_sort_weight":99,"slug":100},"Literature",80,"literature",{"id":52,"doc_module":4,"doc_module_name":46,"category_name":102,"show_sort_weight":103,"slug":104},"Exam",70,"exam",{"id":22,"doc_module":4,"doc_module_name":46,"category_name":106,"show_sort_weight":107,"slug":108},"Comic",60,"comic",{"id":110,"doc_module":4,"doc_module_name":46,"category_name":111,"show_sort_weight":112,"slug":113},6,"Technology",50,"technology",{"id":115,"doc_module":4,"doc_module_name":46,"category_name":116,"show_sort_weight":117,"slug":118},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":120,"slug":121},30,"research-report",{"id":123,"doc_module":4,"doc_module_name":46,"category_name":124,"show_sort_weight":125,"slug":126},9,"Religion & Spirituality",20,"religion-spirituality",{"id":125,"doc_module":4,"doc_module_name":46,"category_name":128,"show_sort_weight":125,"slug":129},"World Cup","world-cup",{"id":131,"doc_module":4,"doc_module_name":46,"category_name":132,"show_sort_weight":131,"slug":133},10,"Lifestyle","lifestyle",{"id":135,"doc_module":4,"doc_module_name":46,"category_name":136,"show_sort_weight":22,"slug":137},19,"General","general"]