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Asynchronous Ballistic Reversible Fluxon Logic
In a previous paper, we described a new abstract circuit model for reversible computation called asynchronous ballistic reversible computing (ABRC), in which localized information-bearing pulses propagate ballistically along signal paths between stateful abstract devices and elastically scatter off...
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Published in: | IEEE transactions on applied superconductivity 2019-08, Vol.29 (5), p.1-7 |
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creator | Frank, Michael P. Lewis, Rupert M. Missert, Nancy A. Wolak, Matthaus A. Henry, Michael D. |
description | In a previous paper, we described a new abstract circuit model for reversible computation called asynchronous ballistic reversible computing (ABRC), in which localized information-bearing pulses propagate ballistically along signal paths between stateful abstract devices and elastically scatter off those devices serially, while updating the device state in a logically-reversible and deterministic fashion. The ABRC model has been shown to be capable of universal computation. In the research reported here, we begin exploring how the ABRC model might be realized in practice using single flux quantum solitons (fluxons) in superconducting Josephson junction (JJ) circuits. One natural family of realizations could utilize fluxon polarity to represent binary data in individual pulses propagating near-ballistically, along discrete or continuous long Josephson junctions or microstrip passive transmission lines, and utilize the flux charge (-1, 0, +1) of a JJ-containing superconducting loop with Φ 0 |
doi_str_mv | 10.1109/TASC.2019.2904962 |
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(SNL-NM), Albuquerque, NM (United States)</creatorcontrib><description>In a previous paper, we described a new abstract circuit model for reversible computation called asynchronous ballistic reversible computing (ABRC), in which localized information-bearing pulses propagate ballistically along signal paths between stateful abstract devices and elastically scatter off those devices serially, while updating the device state in a logically-reversible and deterministic fashion. The ABRC model has been shown to be capable of universal computation. In the research reported here, we begin exploring how the ABRC model might be realized in practice using single flux quantum solitons (fluxons) in superconducting Josephson junction (JJ) circuits. One natural family of realizations could utilize fluxon polarity to represent binary data in individual pulses propagating near-ballistically, along discrete or continuous long Josephson junctions or microstrip passive transmission lines, and utilize the flux charge (-1, 0, +1) of a JJ-containing superconducting loop with Φ 0 <; I c L <; 2Φ 0 to encode a ternary state variable internal to a device. A natural question then arises as to which of the definable abstract ABRC device functionalities using this data representation might be implementable using a JJ circuit that dissipates only a small fraction of the input fluxon energy. We discuss conservation rules and symmetries considered as constraints to be obeyed in these circuits, and begin the process of classifying the possible ABRC devices in this family having up to three bidirectional I/O terminals, and up to three internal states.</description><identifier>ISSN: 1051-8223</identifier><identifier>EISSN: 1558-2515</identifier><identifier>DOI: 10.1109/TASC.2019.2904962</identifier><identifier>CODEN: ITASE9</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Ballistic signaling ; Binary data ; Circuits ; Computation ; Computational modeling ; Energy conservation ; Energy efficiency ; Integrated circuit interconnections ; Integrated circuit modeling ; Josephson junctions ; MATHEMATICS AND COMPUTING ; Polarity ; Pulse propagation ; reversible computing ; Signal paths ; single flux quanta ; Solitary waves ; Solitons ; State variable ; Superconducting logic circuits ; Superconductivity ; Transmission lines</subject><ispartof>IEEE transactions on applied superconductivity, 2019-08, Vol.29 (5), p.1-7</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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(SNL-NM), Albuquerque, NM (United States)</creatorcontrib><title>Asynchronous Ballistic Reversible Fluxon Logic</title><title>IEEE transactions on applied superconductivity</title><addtitle>TASC</addtitle><description>In a previous paper, we described a new abstract circuit model for reversible computation called asynchronous ballistic reversible computing (ABRC), in which localized information-bearing pulses propagate ballistically along signal paths between stateful abstract devices and elastically scatter off those devices serially, while updating the device state in a logically-reversible and deterministic fashion. The ABRC model has been shown to be capable of universal computation. In the research reported here, we begin exploring how the ABRC model might be realized in practice using single flux quantum solitons (fluxons) in superconducting Josephson junction (JJ) circuits. One natural family of realizations could utilize fluxon polarity to represent binary data in individual pulses propagating near-ballistically, along discrete or continuous long Josephson junctions or microstrip passive transmission lines, and utilize the flux charge (-1, 0, +1) of a JJ-containing superconducting loop with Φ 0 <; I c L <; 2Φ 0 to encode a ternary state variable internal to a device. A natural question then arises as to which of the definable abstract ABRC device functionalities using this data representation might be implementable using a JJ circuit that dissipates only a small fraction of the input fluxon energy. We discuss conservation rules and symmetries considered as constraints to be obeyed in these circuits, and begin the process of classifying the possible ABRC devices in this family having up to three bidirectional I/O terminals, and up to three internal states.</description><subject>Ballistic signaling</subject><subject>Binary data</subject><subject>Circuits</subject><subject>Computation</subject><subject>Computational modeling</subject><subject>Energy conservation</subject><subject>Energy efficiency</subject><subject>Integrated circuit interconnections</subject><subject>Integrated circuit modeling</subject><subject>Josephson junctions</subject><subject>MATHEMATICS AND COMPUTING</subject><subject>Polarity</subject><subject>Pulse propagation</subject><subject>reversible computing</subject><subject>Signal paths</subject><subject>single flux quanta</subject><subject>Solitary waves</subject><subject>Solitons</subject><subject>State variable</subject><subject>Superconducting logic circuits</subject><subject>Superconductivity</subject><subject>Transmission lines</subject><issn>1051-8223</issn><issn>1558-2515</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNo9kEFLw0AQhYMoWKs_QLwEPSfO7Ga3u8darAoFQet5STYTmxKzdTcR--9NSfE0c_je4_FF0TVCigj6fj1_X6QMUKdMQ6YlO4kmKIRKmEBxOvwgMFGM8fPoIoQtAGYqE5MonYd9azfeta4P8UPeNHXoahu_0Q_5UBcNxcum_3VtvHKftb2Mzqq8CXR1vNPoY_m4Xjwnq9enl8V8lVgueZdUEniuGamcRKE55DOuFRBBxrGkmdbSQillmWWFqEpFOfABK0oheMELxfk0uh173bDGBFt3ZDfWtS3ZzqAAhqgG6G6Edt599xQ6s3W9b4ddhjEEYEpkOFA4Uta7EDxVZufrr9zvDYI5uDMHd-bgzhzdDZmbMVMT0T-vpJxJKfgfIwxoqg</recordid><startdate>20190801</startdate><enddate>20190801</enddate><creator>Frank, Michael P.</creator><creator>Lewis, Rupert M.</creator><creator>Missert, Nancy A.</creator><creator>Wolak, Matthaus A.</creator><creator>Henry, Michael D.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><general>Institute of Electrical and Electronics Engineers (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OIOZB</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000-0002-6125-5432</orcidid><orcidid>https://orcid.org/0000-0002-5201-0644</orcidid><orcidid>https://orcid.org/0000-0002-9860-208X</orcidid><orcidid>https://orcid.org/0000-0003-2082-2282</orcidid><orcidid>https://orcid.org/0000-0003-3176-1593</orcidid></search><sort><creationdate>20190801</creationdate><title>Asynchronous Ballistic Reversible Fluxon Logic</title><author>Frank, Michael P. ; Lewis, Rupert M. ; Missert, Nancy A. ; Wolak, Matthaus A. ; Henry, Michael D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-f603a92e8ae5b930a73980ee0431de7996c0d66d44b5fd8ea03b93bd553b3b833</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Ballistic signaling</topic><topic>Binary data</topic><topic>Circuits</topic><topic>Computation</topic><topic>Computational modeling</topic><topic>Energy conservation</topic><topic>Energy efficiency</topic><topic>Integrated circuit interconnections</topic><topic>Integrated circuit modeling</topic><topic>Josephson junctions</topic><topic>MATHEMATICS AND COMPUTING</topic><topic>Polarity</topic><topic>Pulse propagation</topic><topic>reversible computing</topic><topic>Signal paths</topic><topic>single flux quanta</topic><topic>Solitary waves</topic><topic>Solitons</topic><topic>State variable</topic><topic>Superconducting logic circuits</topic><topic>Superconductivity</topic><topic>Transmission lines</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Frank, Michael P.</creatorcontrib><creatorcontrib>Lewis, Rupert M.</creatorcontrib><creatorcontrib>Missert, Nancy A.</creatorcontrib><creatorcontrib>Wolak, Matthaus A.</creatorcontrib><creatorcontrib>Henry, Michael D.</creatorcontrib><creatorcontrib>Sandia National Lab. 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(SNL-NM), Albuquerque, NM (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asynchronous Ballistic Reversible Fluxon Logic</atitle><jtitle>IEEE transactions on applied superconductivity</jtitle><stitle>TASC</stitle><date>2019-08-01</date><risdate>2019</risdate><volume>29</volume><issue>5</issue><spage>1</spage><epage>7</epage><pages>1-7</pages><issn>1051-8223</issn><eissn>1558-2515</eissn><coden>ITASE9</coden><abstract>In a previous paper, we described a new abstract circuit model for reversible computation called asynchronous ballistic reversible computing (ABRC), in which localized information-bearing pulses propagate ballistically along signal paths between stateful abstract devices and elastically scatter off those devices serially, while updating the device state in a logically-reversible and deterministic fashion. The ABRC model has been shown to be capable of universal computation. In the research reported here, we begin exploring how the ABRC model might be realized in practice using single flux quantum solitons (fluxons) in superconducting Josephson junction (JJ) circuits. One natural family of realizations could utilize fluxon polarity to represent binary data in individual pulses propagating near-ballistically, along discrete or continuous long Josephson junctions or microstrip passive transmission lines, and utilize the flux charge (-1, 0, +1) of a JJ-containing superconducting loop with Φ 0 <; I c L <; 2Φ 0 to encode a ternary state variable internal to a device. A natural question then arises as to which of the definable abstract ABRC device functionalities using this data representation might be implementable using a JJ circuit that dissipates only a small fraction of the input fluxon energy. 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subjects | Ballistic signaling Binary data Circuits Computation Computational modeling Energy conservation Energy efficiency Integrated circuit interconnections Integrated circuit modeling Josephson junctions MATHEMATICS AND COMPUTING Polarity Pulse propagation reversible computing Signal paths single flux quanta Solitary waves Solitons State variable Superconducting logic circuits Superconductivity Transmission lines |
title | Asynchronous Ballistic Reversible Fluxon Logic |
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