Publications
Publication Information
| Title | Hamiltonian simulation of minimal holographic sparsified SYK model |
| Authors | Raghav Jha |
| JLAB number | JLAB-THY-24-4027 |
| LANL number | arXiv:2404.14784 |
| Other number | DOE/OR/23177-7456 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for arXiv | |
| Publication Abstract: | The circuit complexity for Hamiltonian simulation of the sparsified SYK model with N Majorana fermions and quartic interactions which retains holographic features (referred to as ?minimal holographic sparsified SYK?) with k = 8.7 ? N3/24 (where k is the total number of interaction terms per N) using second-order Trotter method and Jordan-Wigner encoding is found to be O(kpN2 logN(Jt)3/2??1/2) where t is the simulation time, ? is the desired error in the implemen- tation of the unitary U = exp(?iHt), J is the disorder strength, and p < 1. This complexity implies that with less than a hundred logical qubits and about 105 two-qubit or Clifford+T-gates, it will be possible to achieve an advantage in this model. |
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| Group: | THEORY CENTER |
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