Hamiltonian simulation of minimal holographic sparsified SYK model
The circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and q=4 (quartic interactions), which retains holographic features (referred to as ‘minimal holographic sparsified SYK’) with k≪N3/24 (where k is the total number of interaction terms times 1/N) us...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000252 |
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| _version_ | 1825206993977081856 |
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| author | Raghav G. Jha |
| author_facet | Raghav G. Jha |
| author_sort | Raghav G. Jha |
| collection | DOAJ |
| description | The circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and q=4 (quartic interactions), which retains holographic features (referred to as ‘minimal holographic sparsified SYK’) with k≪N3/24 (where k is the total number of interaction terms times 1/N) using the second-order Trotter method and Jordan-Wigner encoding is found to be O˜(kαN3/2logN(Jt)3/2ε−1/2) where t is the simulation time, ε is the desired error in the implementation of the unitary U=exp(−iHt) measured by the operator norm, J is the disorder strength, and constant α<1. This complexity implies that with less than a hundred logical qubits and about 106 gates, it might be possible to achieve an advantage in this model and simulate real-time dynamics. |
| format | Article |
| id | doaj-art-fd5299706b9f4060aaad7fa2a811f7c8 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-fd5299706b9f4060aaad7fa2a811f7c82025-02-07T04:46:52ZengElsevierNuclear Physics B0550-32132025-03-011012116815Hamiltonian simulation of minimal holographic sparsified SYK modelRaghav G. Jha0Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USAThe circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and q=4 (quartic interactions), which retains holographic features (referred to as ‘minimal holographic sparsified SYK’) with k≪N3/24 (where k is the total number of interaction terms times 1/N) using the second-order Trotter method and Jordan-Wigner encoding is found to be O˜(kαN3/2logN(Jt)3/2ε−1/2) where t is the simulation time, ε is the desired error in the implementation of the unitary U=exp(−iHt) measured by the operator norm, J is the disorder strength, and constant α<1. This complexity implies that with less than a hundred logical qubits and about 106 gates, it might be possible to achieve an advantage in this model and simulate real-time dynamics.http://www.sciencedirect.com/science/article/pii/S0550321325000252 |
| spellingShingle | Raghav G. Jha Hamiltonian simulation of minimal holographic sparsified SYK model Nuclear Physics B |
| title | Hamiltonian simulation of minimal holographic sparsified SYK model |
| title_full | Hamiltonian simulation of minimal holographic sparsified SYK model |
| title_fullStr | Hamiltonian simulation of minimal holographic sparsified SYK model |
| title_full_unstemmed | Hamiltonian simulation of minimal holographic sparsified SYK model |
| title_short | Hamiltonian simulation of minimal holographic sparsified SYK model |
| title_sort | hamiltonian simulation of minimal holographic sparsified syk model |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000252 |
| work_keys_str_mv | AT raghavgjha hamiltoniansimulationofminimalholographicsparsifiedsykmodel |