Maximal Success Probabilities of Linear-Optical Quantum Gates
Numerical optimization is used to design linear-optical devices that implement a desired quantum gate with perfect fidelity, while maximizing the success rate. For the 2-qubit CS (or CNOT) gate, we provide numerical evidence that the maximum success rate is \(S=2/27\) using two unentangled ancilla r...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2008-11 |
|---|---|
| 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 | Uskov, Dmitry B Kaplan, Lev Smith, A Matthew Huver, Sean D Dowling, Jonathan P |
| description | Numerical optimization is used to design linear-optical devices that implement a desired quantum gate with perfect fidelity, while maximizing the success rate. For the 2-qubit CS (or CNOT) gate, we provide numerical evidence that the maximum success rate is \(S=2/27\) using two unentangled ancilla resources; interestingly, additional ancilla resources do not increase the success rate. For the 3-qubit Toffoli gate, we show that perfect fidelity is obtained with only three unentangled ancilla photons -- less than in any existing scheme -- with a maximum \(S=0.00340\). This compares well with \(S=(2/27)^2/2 \approx 0.00274\), obtainable by combining two CNOT gates and a passive quantum filter [PRA 68, 064303 (2003)]. The general optimization approach can easily be applied to other areas of interest, such as quantum error correction, cryptography, and metrology [arXiv:0807.4906, PRL 99 070801 (2007)]. |
| doi_str_mv | 10.48550/arxiv.0808.1926 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_0808_1926</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2081765481</sourcerecordid><originalsourceid>FETCH-LOGICAL-a511-97164154c619b8e479c2a83fb841adcc30330d40f4d393cd9997b076355d2ac33</originalsourceid><addsrcrecordid>eNotj0FLwzAYhoMgOObunqTguTXJl6TJwYMMnUJliruXr2kKGV1bk1bmv7dznt7Lw8vzEHLDaCa0lPQew9F_Z1RTnTHD1QVZcACWasH5FVnFuKeUcpVzKWFBHt7w6A_YJp-TtS7G5D30FVa-9aN3MembpPCdw5Buh9HbmfuYsBunQ7LB0cVrctlgG93qf5dk9_y0W7-kxXbzun4sUpSMpSZnSjAprGKm0k7kxnLU0FRaMKytBQpAa0EbUYMBWxtj8ormCqSsOVqAJbk93_6llUOYjcNPeUosT4kzcHcGhtB_TS6O5b6fQjcrlZxqlispNINfuoxSPg</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2081765481</pqid></control><display><type>article</type><title>Maximal Success Probabilities of Linear-Optical Quantum Gates</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Uskov, Dmitry B ; Kaplan, Lev ; Smith, A Matthew ; Huver, Sean D ; Dowling, Jonathan P</creator><creatorcontrib>Uskov, Dmitry B ; Kaplan, Lev ; Smith, A Matthew ; Huver, Sean D ; Dowling, Jonathan P</creatorcontrib><description>Numerical optimization is used to design linear-optical devices that implement a desired quantum gate with perfect fidelity, while maximizing the success rate. For the 2-qubit CS (or CNOT) gate, we provide numerical evidence that the maximum success rate is \(S=2/27\) using two unentangled ancilla resources; interestingly, additional ancilla resources do not increase the success rate. For the 3-qubit Toffoli gate, we show that perfect fidelity is obtained with only three unentangled ancilla photons -- less than in any existing scheme -- with a maximum \(S=0.00340\). This compares well with \(S=(2/27)^2/2 \approx 0.00274\), obtainable by combining two CNOT gates and a passive quantum filter [PRA 68, 064303 (2003)]. The general optimization approach can easily be applied to other areas of interest, such as quantum error correction, cryptography, and metrology [arXiv:0807.4906, PRL 99 070801 (2007)].</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0808.1926</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cryptography ; Design optimization ; Error correction ; Photons ; Physics - Quantum Physics ; Quantum theory ; Qubits (quantum computing) ; Success</subject><ispartof>arXiv.org, 2008-11</ispartof><rights>2008. 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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevA.79.042326$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.0808.1926$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Uskov, Dmitry B</creatorcontrib><creatorcontrib>Kaplan, Lev</creatorcontrib><creatorcontrib>Smith, A Matthew</creatorcontrib><creatorcontrib>Huver, Sean D</creatorcontrib><creatorcontrib>Dowling, Jonathan P</creatorcontrib><title>Maximal Success Probabilities of Linear-Optical Quantum Gates</title><title>arXiv.org</title><description>Numerical optimization is used to design linear-optical devices that implement a desired quantum gate with perfect fidelity, while maximizing the success rate. For the 2-qubit CS (or CNOT) gate, we provide numerical evidence that the maximum success rate is \(S=2/27\) using two unentangled ancilla resources; interestingly, additional ancilla resources do not increase the success rate. For the 3-qubit Toffoli gate, we show that perfect fidelity is obtained with only three unentangled ancilla photons -- less than in any existing scheme -- with a maximum \(S=0.00340\). This compares well with \(S=(2/27)^2/2 \approx 0.00274\), obtainable by combining two CNOT gates and a passive quantum filter [PRA 68, 064303 (2003)]. The general optimization approach can easily be applied to other areas of interest, such as quantum error correction, cryptography, and metrology [arXiv:0807.4906, PRL 99 070801 (2007)].</description><subject>Cryptography</subject><subject>Design optimization</subject><subject>Error correction</subject><subject>Photons</subject><subject>Physics - Quantum Physics</subject><subject>Quantum theory</subject><subject>Qubits (quantum computing)</subject><subject>Success</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj0FLwzAYhoMgOObunqTguTXJl6TJwYMMnUJliruXr2kKGV1bk1bmv7dznt7Lw8vzEHLDaCa0lPQew9F_Z1RTnTHD1QVZcACWasH5FVnFuKeUcpVzKWFBHt7w6A_YJp-TtS7G5D30FVa-9aN3MembpPCdw5Buh9HbmfuYsBunQ7LB0cVrctlgG93qf5dk9_y0W7-kxXbzun4sUpSMpSZnSjAprGKm0k7kxnLU0FRaMKytBQpAa0EbUYMBWxtj8ormCqSsOVqAJbk93_6llUOYjcNPeUosT4kzcHcGhtB_TS6O5b6fQjcrlZxqlispNINfuoxSPg</recordid><startdate>20081122</startdate><enddate>20081122</enddate><creator>Uskov, Dmitry B</creator><creator>Kaplan, Lev</creator><creator>Smith, A Matthew</creator><creator>Huver, Sean D</creator><creator>Dowling, Jonathan P</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>20081122</creationdate><title>Maximal Success Probabilities of Linear-Optical Quantum Gates</title><author>Uskov, Dmitry B ; Kaplan, Lev ; Smith, A Matthew ; Huver, Sean D ; Dowling, Jonathan P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a511-97164154c619b8e479c2a83fb841adcc30330d40f4d393cd9997b076355d2ac33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Cryptography</topic><topic>Design optimization</topic><topic>Error correction</topic><topic>Photons</topic><topic>Physics - Quantum Physics</topic><topic>Quantum theory</topic><topic>Qubits (quantum computing)</topic><topic>Success</topic><toplevel>online_resources</toplevel><creatorcontrib>Uskov, Dmitry B</creatorcontrib><creatorcontrib>Kaplan, Lev</creatorcontrib><creatorcontrib>Smith, A Matthew</creatorcontrib><creatorcontrib>Huver, Sean D</creatorcontrib><creatorcontrib>Dowling, Jonathan P</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>Uskov, Dmitry B</au><au>Kaplan, Lev</au><au>Smith, A Matthew</au><au>Huver, Sean D</au><au>Dowling, Jonathan P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Maximal Success Probabilities of Linear-Optical Quantum Gates</atitle><jtitle>arXiv.org</jtitle><date>2008-11-22</date><risdate>2008</risdate><eissn>2331-8422</eissn><abstract>Numerical optimization is used to design linear-optical devices that implement a desired quantum gate with perfect fidelity, while maximizing the success rate. For the 2-qubit CS (or CNOT) gate, we provide numerical evidence that the maximum success rate is \(S=2/27\) using two unentangled ancilla resources; interestingly, additional ancilla resources do not increase the success rate. For the 3-qubit Toffoli gate, we show that perfect fidelity is obtained with only three unentangled ancilla photons -- less than in any existing scheme -- with a maximum \(S=0.00340\). This compares well with \(S=(2/27)^2/2 \approx 0.00274\), obtainable by combining two CNOT gates and a passive quantum filter [PRA 68, 064303 (2003)]. The general optimization approach can easily be applied to other areas of interest, such as quantum error correction, cryptography, and metrology [arXiv:0807.4906, PRL 99 070801 (2007)].</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0808.1926</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2008-11 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_0808_1926 |
| source | arXiv.org; Free E- Journals |
| subjects | Cryptography Design optimization Error correction Photons Physics - Quantum Physics Quantum theory Qubits (quantum computing) Success |
| title | Maximal Success Probabilities of Linear-Optical Quantum Gates |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-12T22%3A51%3A29IST&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=Maximal%20Success%20Probabilities%20of%20Linear-Optical%20Quantum%20Gates&rft.jtitle=arXiv.org&rft.au=Uskov,%20Dmitry%20B&rft.date=2008-11-22&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0808.1926&rft_dat=%3Cproquest_arxiv%3E2081765481%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=2081765481&rft_id=info:pmid/&rfr_iscdi=true |