Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing
We investigate the minimization of Ising Hamiltonians, comparing the performance of gain-based computing paradigms based on the dynamics of semiclassical soft-spin models with quantum annealing. We systematically analyze how the energy landscape for the circulant couplings of a Möbius graph evolves...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013150 |
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| _version_ | 1823858046719229952 |
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| author | James S. Cummins Hayder Salman Natalia G. Berloff |
| author_facet | James S. Cummins Hayder Salman Natalia G. Berloff |
| author_sort | James S. Cummins |
| collection | DOAJ |
| description | We investigate the minimization of Ising Hamiltonians, comparing the performance of gain-based computing paradigms based on the dynamics of semiclassical soft-spin models with quantum annealing. We systematically analyze how the energy landscape for the circulant couplings of a Möbius graph evolves with increased annealing parameters. Our findings indicate that these semiclassical models face challenges due to a widening dimensionality landscape. To counteract this issue, we introduce the manifold reduction method, which restricts the soft-spin amplitudes to a defined phase space region. Concurrently, quantum annealing demonstrates a natural capability to navigate the Ising Hamiltonian's energy landscape due to its operation within the comprehensive Hilbert space. Our study indicates that physics-inspired or physics-enhanced optimizers will likely benefit from combining classical and quantum annealing techniques. |
| format | Article |
| id | doaj-art-61a8e367198b4c2892bd3cfbeaa4be70 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-61a8e367198b4c2892bd3cfbeaa4be702025-02-11T15:08:32ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101315010.1103/PhysRevResearch.7.013150Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealingJames S. CumminsHayder SalmanNatalia G. BerloffWe investigate the minimization of Ising Hamiltonians, comparing the performance of gain-based computing paradigms based on the dynamics of semiclassical soft-spin models with quantum annealing. We systematically analyze how the energy landscape for the circulant couplings of a Möbius graph evolves with increased annealing parameters. Our findings indicate that these semiclassical models face challenges due to a widening dimensionality landscape. To counteract this issue, we introduce the manifold reduction method, which restricts the soft-spin amplitudes to a defined phase space region. Concurrently, quantum annealing demonstrates a natural capability to navigate the Ising Hamiltonian's energy landscape due to its operation within the comprehensive Hilbert space. Our study indicates that physics-inspired or physics-enhanced optimizers will likely benefit from combining classical and quantum annealing techniques.http://doi.org/10.1103/PhysRevResearch.7.013150 |
| spellingShingle | James S. Cummins Hayder Salman Natalia G. Berloff Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing Physical Review Research |
| title | Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing |
| title_full | Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing |
| title_fullStr | Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing |
| title_full_unstemmed | Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing |
| title_short | Ising Hamiltonian minimization: Gain-based computing with manifold reduction of soft spins vs quantum annealing |
| title_sort | ising hamiltonian minimization gain based computing with manifold reduction of soft spins vs quantum annealing |
| url | http://doi.org/10.1103/PhysRevResearch.7.013150 |
| work_keys_str_mv | AT jamesscummins isinghamiltonianminimizationgainbasedcomputingwithmanifoldreductionofsoftspinsvsquantumannealing AT haydersalman isinghamiltonianminimizationgainbasedcomputingwithmanifoldreductionofsoftspinsvsquantumannealing AT nataliagberloff isinghamiltonianminimizationgainbasedcomputingwithmanifoldreductionofsoftspinsvsquantumannealing |