Publications
Publication Information
| Title | Sachdev-Ye-Kitaev model on a noisy quantum computer |
| Authors | Raghav Jha, Muhammad Asaduzzaman, Bharath Sambasivam |
| JLAB number | JLAB-THY-23-3980 |
| LANL number | arXiv:2311.17991 |
| Other number | DOE/OR/23177-7335 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review D Volume 109 Issue 2024 Page(s) 105002 Refereed | |
| Publication Abstract: | We study the SYK model -- an important toy model for quantum gravity on IBM's superconducting qubit quantum computers. By using a graph-coloring algorithm to minimize the number of commuting clusters of terms in the qubitized Hamiltonian, we find the gate complexity of the time evolution using the first-order product formula for N Majorana fermions is O(N^5J^2t^2/?) where J is the dimensionful coupling parameter, t is the evolution time, and ? is the desired precision. With this improved resource requirement, we perform the time evolution for N=6,8 with maximum two-qubit circuit depth of 343. We perform different error mitigation schemes on the noisy hardware results and find good agreement with the exact diagonalization results on classical computers and noiseless simulators. In particular, we compute return probability after time t and out-of-time order correlators (OTOC) which is a standard observable of quantifying the chaotic nature of quantum systems. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.109.105002 |
| Accepted Manuscript: | |
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