Qudit Gate Decomposition Dependence for Lattice Gauge Theories

Journal Article · Mon Oct 21 04:00:00 EDT 2024 · TBD

OSTI ID:2479584

Kürkçüoglu, Doga Murat ^[1]; Lamm, Henry ^[1]; Maestri, Andrea ^[2]

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1. Fermilab
2. Delta ITP, Amsterdam; Amsterdam U.; Dutch Inst. Emergent Phenomena

In this work, we investigate the effect of decomposition basis on primitive qudit gates on superconducting radio-frequency cavity-based quantum computers with applications to lattice gauge theory. Three approaches are tested: SNAP & Displacement gates, ECD & single-qubit rotations $$R(\theta,\phi)$$, and optimal pulse control. For all three decompositions, implementing the necessary sequence of rotations concurrently rather then sequentially can reduce the primitive gate run time. The number of blocks required for the faster ECD &$$R_p(\theta)$$ is found to scale $$\mathcal{O}(d^2)$$, while slower SNAP & Displacement set scales at worst $$\mathcal{O}(d)$$. For qudits with $d<10$, the resulting gate times for the decompositions is similar, but strongly-dependent on experimental design choices. Optimal control can outperforms both decompositions for small $$d$$ by a factor of 2-12 at the cost of higher classical resources. Lastly, we find that SNAP & Displacement are slightly more robust to a simplified noise model.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 2479584
• Report Number(s): FERMILAB-PUB-24-0612-SQMS-T; arXiv:2410.16414; oai:inspirehep.net:2841862
• Journal Information: TBD, Journal Name: TBD
• Country of Publication: United States
• Language: English