STI Publications - View Publication Form #20299
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Publication Information
| Title | Sachdev-Ye-Kitaev model on a noisy quantum computer | ||||
| 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. | ||||
| Author(s) | Raghav Jha, Muhammad Asaduzzaman, Bharath Sambasivam | ||||
| Publication Date | May 2024 | ||||
| Document Type | Journal Article | ||||
| Primary Institution | Thomas Jefferson National Accelerator Facility, Newport News | ||||
| Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
| Funding Source | Nuclear Physics (NP) | ||||
| Proprietary? | No | ||||
| This publication conveys | Technical Science Results | ||||
| Document Numbers |
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| Associated with an experiment | No | ||||
| Associated with EIC | No | ||||
| Supported by Jefferson Lab LDRD Funding | No |
Journal Article
| Journal Name | Physical Review D |
| Refereed | Yes |
| Volume | 109 |
| Issue | 2024 |
| Page(s) | 105002 |
Attachments/Datasets/DOI Link
| Document(s) |
SYKver3.pdf
(STI Document)
|
| DOI Link | |
| Dataset(s) | (none) |
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