Encoding of linear kinetic plasma problems in quantum circuits via data compression
We propose an algorithm for encoding of linear kinetic plasma problems in quantum circuits. The focus is made on modeling electrostatic linear waves in one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov-Ampère system with a spatially localized external curre...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2024-03 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Novikau, Ivan Dodin, Ilya Y Startsev, Edward A |
| description | We propose an algorithm for encoding of linear kinetic plasma problems in quantum circuits. The focus is made on modeling electrostatic linear waves in one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov-Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation \(A\psi = b\) to be solved by using the quantum signal processing algorithm. The latter requires encoding of the matrix \(A\) in a quantum circuit as a subblock of a unitary matrix. We propose how to encode \(A\) in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision. |
| doi_str_mv | 10.48550/arxiv.2403.11989 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2403_11989</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2968619543</sourcerecordid><originalsourceid>FETCH-LOGICAL-a959-11597be3f20d767ca50a9f07ed1821258e3fe06d0709a9f5a9d466a125d7db603</originalsourceid><addsrcrecordid>eNotj11LwzAYhYMgOOZ-gFcGvG7NR5M0lzLmBwy8cPflXZNKZpt0STv03xs3r87FczicB6E7SsqqFoI8Qvx2p5JVhJeU6lpfoQXjnBZ1xdgNWqV0IIQwqZgQfIE-Nr4NxvlPHDrcO28h4q8ck2vx2EMaAI8x7Hs7JOw8Ps7gp3nArYvt7KaETw6wgQlwG4Yx2pRc8LfouoM-2dV_LtHuebNbvxbb95e39dO2AC10QanQam95x4hRUrUgCOiOKGtozSgTdUaWSEMU0RkI0KaSEjIxyuwl4Ut0f5k9GzdjdAPEn-bPvDmb58bDpZEVjrNNU3MIc_T5U8O0rCXVouL8F-NnW_E</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2968619543</pqid></control><display><type>article</type><title>Encoding of linear kinetic plasma problems in quantum circuits via data compression</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Novikau, Ivan ; Dodin, Ilya Y ; Startsev, Edward A</creator><creatorcontrib>Novikau, Ivan ; Dodin, Ilya Y ; Startsev, Edward A</creatorcontrib><description>We propose an algorithm for encoding of linear kinetic plasma problems in quantum circuits. The focus is made on modeling electrostatic linear waves in one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov-Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation \(A\psi = b\) to be solved by using the quantum signal processing algorithm. The latter requires encoding of the matrix \(A\) in a quantum circuit as a subblock of a unitary matrix. We propose how to encode \(A\) in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2403.11989</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algorithms ; Boundary value problems ; Circuits ; Coding ; Data compression ; Electron plasma ; Matrices (mathematics) ; Physics - Computational Physics ; Physics - Plasma Physics ; Plasma oscillations</subject><ispartof>arXiv.org, 2024-03</ispartof><rights>2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2403.11989$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1017/S0022377824000795$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Novikau, Ivan</creatorcontrib><creatorcontrib>Dodin, Ilya Y</creatorcontrib><creatorcontrib>Startsev, Edward A</creatorcontrib><title>Encoding of linear kinetic plasma problems in quantum circuits via data compression</title><title>arXiv.org</title><description>We propose an algorithm for encoding of linear kinetic plasma problems in quantum circuits. The focus is made on modeling electrostatic linear waves in one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov-Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation \(A\psi = b\) to be solved by using the quantum signal processing algorithm. The latter requires encoding of the matrix \(A\) in a quantum circuit as a subblock of a unitary matrix. We propose how to encode \(A\) in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision.</description><subject>Algorithms</subject><subject>Boundary value problems</subject><subject>Circuits</subject><subject>Coding</subject><subject>Data compression</subject><subject>Electron plasma</subject><subject>Matrices (mathematics)</subject><subject>Physics - Computational Physics</subject><subject>Physics - Plasma Physics</subject><subject>Plasma oscillations</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj11LwzAYhYMgOOZ-gFcGvG7NR5M0lzLmBwy8cPflXZNKZpt0STv03xs3r87FczicB6E7SsqqFoI8Qvx2p5JVhJeU6lpfoQXjnBZ1xdgNWqV0IIQwqZgQfIE-Nr4NxvlPHDrcO28h4q8ck2vx2EMaAI8x7Hs7JOw8Ps7gp3nArYvt7KaETw6wgQlwG4Yx2pRc8LfouoM-2dV_LtHuebNbvxbb95e39dO2AC10QanQam95x4hRUrUgCOiOKGtozSgTdUaWSEMU0RkI0KaSEjIxyuwl4Ut0f5k9GzdjdAPEn-bPvDmb58bDpZEVjrNNU3MIc_T5U8O0rCXVouL8F-NnW_E</recordid><startdate>20240318</startdate><enddate>20240318</enddate><creator>Novikau, Ivan</creator><creator>Dodin, Ilya Y</creator><creator>Startsev, Edward A</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20240318</creationdate><title>Encoding of linear kinetic plasma problems in quantum circuits via data compression</title><author>Novikau, Ivan ; Dodin, Ilya Y ; Startsev, Edward A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a959-11597be3f20d767ca50a9f07ed1821258e3fe06d0709a9f5a9d466a125d7db603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Algorithms</topic><topic>Boundary value problems</topic><topic>Circuits</topic><topic>Coding</topic><topic>Data compression</topic><topic>Electron plasma</topic><topic>Matrices (mathematics)</topic><topic>Physics - Computational Physics</topic><topic>Physics - Plasma Physics</topic><topic>Plasma oscillations</topic><toplevel>online_resources</toplevel><creatorcontrib>Novikau, Ivan</creatorcontrib><creatorcontrib>Dodin, Ilya Y</creatorcontrib><creatorcontrib>Startsev, Edward A</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Novikau, Ivan</au><au>Dodin, Ilya Y</au><au>Startsev, Edward A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Encoding of linear kinetic plasma problems in quantum circuits via data compression</atitle><jtitle>arXiv.org</jtitle><date>2024-03-18</date><risdate>2024</risdate><eissn>2331-8422</eissn><abstract>We propose an algorithm for encoding of linear kinetic plasma problems in quantum circuits. The focus is made on modeling electrostatic linear waves in one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov-Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation \(A\psi = b\) to be solved by using the quantum signal processing algorithm. The latter requires encoding of the matrix \(A\) in a quantum circuit as a subblock of a unitary matrix. We propose how to encode \(A\) in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2403.11989</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2024-03 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2403_11989 |
| source | arXiv.org; Free E- Journals |
| subjects | Algorithms Boundary value problems Circuits Coding Data compression Electron plasma Matrices (mathematics) Physics - Computational Physics Physics - Plasma Physics Plasma oscillations |
| title | Encoding of linear kinetic plasma problems in quantum circuits via data compression |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T21%3A11%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Encoding%20of%20linear%20kinetic%20plasma%20problems%20in%20quantum%20circuits%20via%20data%20compression&rft.jtitle=arXiv.org&rft.au=Novikau,%20Ivan&rft.date=2024-03-18&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2403.11989&rft_dat=%3Cproquest_arxiv%3E2968619543%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2968619543&rft_id=info:pmid/&rfr_iscdi=true |