Quantum computation of SU(2) lattice gauge theory with continuous variables
Abstract We present a quantum computational framework for pure SU(2) lattice gauge theory, using continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing th...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)084 |
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| _version_ | 1849238231968645120 |
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| author | Victor Ale Nora M. Bauer Raghav G. Jha Felix Ringer George Siopsis |
| author_facet | Victor Ale Nora M. Bauer Raghav G. Jha Felix Ringer George Siopsis |
| author_sort | Victor Ale |
| collection | DOAJ |
| description | Abstract We present a quantum computational framework for pure SU(2) lattice gauge theory, using continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing the use of gauge fixing to reduce the degrees of freedom and simplify the Hamiltonian. We demonstrate how system dynamics, ground states, and energy gaps can be computed using the continuous-variable approach to quantum computing. Our results indicate that it is feasible to study non-Abelian gauge theories with continuous variables, providing new avenues for understanding the real-time dynamics of quantum field theories. |
| format | Article |
| id | doaj-art-78bb7491ad0a4552978df385dd232bca |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-78bb7491ad0a4552978df385dd232bca2025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025613310.1007/JHEP06(2025)084Quantum computation of SU(2) lattice gauge theory with continuous variablesVictor Ale0Nora M. Bauer1Raghav G. Jha2Felix Ringer3George Siopsis4Department of Physics and Astronomy, The University of TennesseeDepartment of Physics and Astronomy, The University of TennesseeThomas Jefferson National Accelerator FacilityThomas Jefferson National Accelerator FacilityDepartment of Physics and Astronomy, The University of TennesseeAbstract We present a quantum computational framework for pure SU(2) lattice gauge theory, using continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing the use of gauge fixing to reduce the degrees of freedom and simplify the Hamiltonian. We demonstrate how system dynamics, ground states, and energy gaps can be computed using the continuous-variable approach to quantum computing. Our results indicate that it is feasible to study non-Abelian gauge theories with continuous variables, providing new avenues for understanding the real-time dynamics of quantum field theories.https://doi.org/10.1007/JHEP06(2025)084Gauge SymmetryLattice QCDLattice Quantum Field TheoryScattering Amplitudes |
| spellingShingle | Victor Ale Nora M. Bauer Raghav G. Jha Felix Ringer George Siopsis Quantum computation of SU(2) lattice gauge theory with continuous variables Journal of High Energy Physics Gauge Symmetry Lattice QCD Lattice Quantum Field Theory Scattering Amplitudes |
| title | Quantum computation of SU(2) lattice gauge theory with continuous variables |
| title_full | Quantum computation of SU(2) lattice gauge theory with continuous variables |
| title_fullStr | Quantum computation of SU(2) lattice gauge theory with continuous variables |
| title_full_unstemmed | Quantum computation of SU(2) lattice gauge theory with continuous variables |
| title_short | Quantum computation of SU(2) lattice gauge theory with continuous variables |
| title_sort | quantum computation of su 2 lattice gauge theory with continuous variables |
| topic | Gauge Symmetry Lattice QCD Lattice Quantum Field Theory Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP06(2025)084 |
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