[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-85796-en":3,"doc-seo-85796-105":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},85796,8796095462418,"Noah","https://ap-avatar.wpscdn.com/avatar/80000253c1241d02b47?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778826106357471780",8,"Research & Report","Kinetic Inductors Enable Reversible Logic","Reversible logic promises major reductions in energy dissipation, yet earlier demonstrations have not scaled to commercially relevant systems. The work proposes a quantitative evaluation framework using a process called CMOS conversion, transforming conventional CMOS into a functionally equivalent reversible implementation and comparing it with shared performance metrics. The method integrates planning equations, kinetic-inductor energy-storage models, a four-phase 4LC energy-recycling power supply, and RLC-based simulation with data-dependent loading. Inductor loss is identified as a key constraint, and high-energy-density kinetic inductors are shown to provide essential design margin for scalable reversible systems.","Kinetic Inductors Enable Reversible Logic  \nErik P. DeBenedictis  \nZettaflops LLC  \nAlbuquerque, NM, USA  \n[erikdebenedictis@gmail.com](erikdebenedictis@gmail.com), (ver. June 5, 2026)  \nAbstract—Reversible logic has long promised substantial reductions in energy dissipation, yet prior demonstrations have not scaled to commercially relevant systems. This work presentsa quantitative framework for evaluating reversible logic through a process termed CMOS conversion, in which a conventional CMOS design is transformed into a functionally equivalent reversible implementation and compared using common performance metrics. The framework combines planning equations, kinetic-inductor energy-storage models, a four-phase 4LC energy-recycling power supply, and RLC-based simulation methods that account for data-dependent loading effects. The analysis identifies inductor loss as a fundamental limitation of conventional approaches and shows that high-energy-density kinetic inductors provide essential design margin for scaling reversible systems. Using representative device parameters, the framework suggests that selected cryogenic CMOS qubitcontroller circuits could be converted to reversible logic using available or near-term technologies. Rather than claiming commercialization of reversible logic in general, the paper provides a methodology for assessing its feasibility and potential benefits across future applications.  \nIndex Terms—4LC circuit, 4LC resonator, adiabatic CMOS, adiabatic logic, adiabatic switching, CMOS, energy-recycling power supply, high-Tc superconductor, high kinetic inductance (HKI), kinetic inductor, multilayer kinetic inductor, power-clocks, reversible computing, reversible logic, superconductor  \nI. BACKGROUND  \nBeginning in the 1960s, physicists including Landauer [1], Bennett [2], and Feynman [3] identified the minimum heat dissipation in irreversible logic gates (e.g., AND/OR gates) . In contrast, no fundamental lower bound exists for dissipation in reversible classical gates, such as the Toffoli gate. In 1984, the U.S. Government advisory group JASON recommended applying reversible logic principles to reduce the energy consumption of integrated circuits [4] .  \nDARPA subsequently funded an “adiabatic switching” test  \n(a) Original CMOS conversion source chip:  \nIrreversible Bus  \nBig power feeds  \ngate  \n memory  \n(b) Energy recycling power supply:  \n(c) Adiabatic logic chip:  \nEquivalent  \npower feed size  \nExploded view  \nLarger Small power feeds  \nReversible gate  \nFig. 2. CMOS conversion  \nchip to evaluate reversible logic principles when implemented via energy recycling, as illustrated in Fig. 1 [5] . Although logic operations were performed using the same nFET and pFET transistors as in conventional CMOS circuits (Fig. 1b), the resulting adiabatic circuits return most of the ½CV2 switching energy to an energy-recycling power supply (Fig. 1a) .  \nThe system-level objective was to convert conventional logic in a CMOS chip (Fig. 2a) into reversible logic gates (Fig. 1b and Fig. 2c) without altering functionality, thereby enabling the direct substitution of CMOS logic with lower-power reversible equivalents.  \nTo date, about a dozen R&D programs have fabricated adiabatic CMOS test chips. While many performed as expected, none progressed to the integration complexity scaling required for commercial viability. These efforts introduced novel circuit design techniques [6, 7] and circuit families including T-gate logic (a.k.a. 2LAL) [8, 9], S2LAL [10], RERL [11], and specialized bus structures [12] . A funded startup [13] reportedly developed additional circuit techniques that remain undisclosed. (Note that these programs did not use the integrated approach illustrated in Fig. 2b; rather, [9] employed a MEMS resonator, and the rest used conventional external inductors. More recently, resonant rotary oscillators  \nhave also been investigated as a scalable alternative to LCbased power-clock generation [26].)  \nA key ","cbCaiqTmmnyQd11K","https://ap.wps.com/l/cbCaiqTmmnyQd11K","pdf",1322486,2,1,17,"English","en",105,"# Background\n## Potentially an Infinite Loop\n## Kinetic Inductance","[{\"question\":\"What does the paper propose to evaluate reversible logic more effectively?\",\"answer\":\"It presents a quantitative framework that evaluates reversible logic via a “CMOS conversion” process, converting a conventional CMOS design into an equivalent reversible implementation and comparing them using common performance metrics.\"},{\"question\":\"How does the framework model the energy-recycling and switching behavior?\",\"answer\":\"It combines kinetic-inductor energy-storage models with a four-phase 4LC energy-recycling power supply and uses RLC-based simulation that accounts for data-dependent loading effects.\"},{\"question\":\"Why are kinetic inductors emphasized for scaling reversible systems?\",\"answer\":\"The analysis identifies inductor loss as a fundamental limitation of conventional approaches and argues that high-energy-density kinetic inductors create the design margin needed to meet power-flux requirements at GHz clock 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does the paper propose to evaluate reversible logic more effectively?","Question",{"text":75,"@type":76},"It presents a quantitative framework that evaluates reversible logic via a “CMOS conversion” process, converting a conventional CMOS design into an equivalent reversible implementation and comparing them using common performance metrics.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"How does the framework model the energy-recycling and switching behavior?",{"text":80,"@type":76},"It combines kinetic-inductor energy-storage models with a four-phase 4LC energy-recycling power supply and uses RLC-based simulation that accounts for data-dependent loading effects.",{"name":82,"@type":73,"acceptedAnswer":83},"Why are kinetic inductors emphasized for scaling reversible systems?",{"text":84,"@type":76},"The analysis identifies inductor loss as a fundamental limitation of conventional approaches and argues that high-energy-density kinetic inductors create the design margin needed to 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