Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma(36\times3)
Phys. Rev. D 110, 034515 (2024) We construct the primitive gate set for the digital quantum simulation of the 108-element $\Sigma(36\times3)$ group. This is the first time a nonabelian crystal-like subgroup of $SU(3)$ has been constructed for quantum simulation. The gauge link registers and necessar...
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| creator | Gustafson, Erik J Ji, Yao Lamm, Henry Murairi, Edison M Perez, Sebastian Osorio Zhu, Shuchen |
| description | Phys. Rev. D 110, 034515 (2024) We construct the primitive gate set for the digital quantum simulation of the
108-element $\Sigma(36\times3)$ group. This is the first time a nonabelian
crystal-like subgroup of $SU(3)$ has been constructed for quantum simulation.
The gauge link registers and necessary primitives -- the inversion gate, the
group multiplication gate, the trace gate, and the $\Sigma(36\times3)$ Fourier
transform -- are presented for both an eight-qubit encoding and a heterogeneous
three-qutrit plus two-qubit register. For the latter, a specialized compiler
was developed for decomposing arbitrary unitaries onto this architecture. |
| doi_str_mv | 10.48550/arxiv.2405.05973 |
| format | Article |
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108-element $\Sigma(36\times3)$ group. This is the first time a nonabelian
crystal-like subgroup of $SU(3)$ has been constructed for quantum simulation.
The gauge link registers and necessary primitives -- the inversion gate, the
group multiplication gate, the trace gate, and the $\Sigma(36\times3)$ Fourier
transform -- are presented for both an eight-qubit encoding and a heterogeneous
three-qutrit plus two-qubit register. For the latter, a specialized compiler
was developed for decomposing arbitrary unitaries onto this architecture.</description><identifier>DOI: 10.48550/arxiv.2405.05973</identifier><language>eng</language><subject>Physics - High Energy Physics - Lattice ; Physics - Quantum Physics</subject><creationdate>2024-04</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2405.05973$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2405.05973$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1103/PhysRevD.110.034515$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Gustafson, Erik J</creatorcontrib><creatorcontrib>Ji, Yao</creatorcontrib><creatorcontrib>Lamm, Henry</creatorcontrib><creatorcontrib>Murairi, Edison M</creatorcontrib><creatorcontrib>Perez, Sebastian Osorio</creatorcontrib><creatorcontrib>Zhu, Shuchen</creatorcontrib><title>Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma(36\times3)</title><description>Phys. Rev. D 110, 034515 (2024) We construct the primitive gate set for the digital quantum simulation of the
108-element $\Sigma(36\times3)$ group. This is the first time a nonabelian
crystal-like subgroup of $SU(3)$ has been constructed for quantum simulation.
The gauge link registers and necessary primitives -- the inversion gate, the
group multiplication gate, the trace gate, and the $\Sigma(36\times3)$ Fourier
transform -- are presented for both an eight-qubit encoding and a heterogeneous
three-qutrit plus two-qubit register. For the latter, a specialized compiler
was developed for decomposing arbitrary unitaries onto this architecture.</description><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzz1PwzAUhWEvDKjwA5jqgaEdElx_xWZDBQqoUkEpW6XoOr6uLJG2cpwK_j1QmM726jyEXM1YKY1S7AbSZzyWXDJVMmUrcU5eXlPsYo5HpG8D7PLQ0QVk7GnYJwo7Wr9PxJTex75NmJHWg9um_XC4pdebOm47mAi9ybHDXkwvyFmAjx4v_3dE1o8P6_lTsVwtnud3ywJ0JQrL9UxUClCjdxqdh6A8A868FyZYox1IL0MIwoFpA1YeW2vR8ZYzadGIERn_ZU-Y5vDzH9JX84tqTijxDWxIRxQ</recordid><startdate>20240430</startdate><enddate>20240430</enddate><creator>Gustafson, Erik J</creator><creator>Ji, Yao</creator><creator>Lamm, Henry</creator><creator>Murairi, Edison M</creator><creator>Perez, Sebastian Osorio</creator><creator>Zhu, Shuchen</creator><scope>GOX</scope></search><sort><creationdate>20240430</creationdate><title>Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma(36\times3)</title><author>Gustafson, Erik J ; Ji, Yao ; Lamm, Henry ; Murairi, Edison M ; Perez, Sebastian Osorio ; Zhu, Shuchen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-9261375ae6edb6ebdaf5d0a20dd38f986ba4d4fff3ba8cfe7dec99eb2c2049e83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Gustafson, Erik J</creatorcontrib><creatorcontrib>Ji, Yao</creatorcontrib><creatorcontrib>Lamm, Henry</creatorcontrib><creatorcontrib>Murairi, Edison M</creatorcontrib><creatorcontrib>Perez, Sebastian Osorio</creatorcontrib><creatorcontrib>Zhu, Shuchen</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gustafson, Erik J</au><au>Ji, Yao</au><au>Lamm, Henry</au><au>Murairi, Edison M</au><au>Perez, Sebastian Osorio</au><au>Zhu, Shuchen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma(36\times3)</atitle><date>2024-04-30</date><risdate>2024</risdate><abstract>Phys. Rev. D 110, 034515 (2024) We construct the primitive gate set for the digital quantum simulation of the
108-element $\Sigma(36\times3)$ group. This is the first time a nonabelian
crystal-like subgroup of $SU(3)$ has been constructed for quantum simulation.
The gauge link registers and necessary primitives -- the inversion gate, the
group multiplication gate, the trace gate, and the $\Sigma(36\times3)$ Fourier
transform -- are presented for both an eight-qubit encoding and a heterogeneous
three-qutrit plus two-qubit register. For the latter, a specialized compiler
was developed for decomposing arbitrary unitaries onto this architecture.</abstract><doi>10.48550/arxiv.2405.05973</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Lattice Physics - Quantum Physics |
| title | Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma(36\times3) |
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