Compiling the 2D Fermi-Hubbard ground-state energy estimation algorithm for active volume quantum architectures

• URL: http://arxiv.org/abs/2609.05316v1
• Date: Fri, 04 Sep 2026 16:10:12 GMT
• Title: Compiling the 2D Fermi-Hubbard ground-state energy estimation algorithm for active volume quantum architectures
• Abstract summary: We present an active-volume-aware compilation of the ground-state energy estimation algorithm for the Fermi-Hubbard model.<n>The proposed compilation reduces the active volume across $Ltimes L$ square lattices with $L=4$ to $20$, achieving up to a $3.9times$ reduction over prior work optimized for non-Clifford counts.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: As quantum computing enters the early fault-tolerant era, circuit compilation choices will increasingly depend on details of the underlying architecture rather than solely optimizing for generic proxies such as non-Clifford count. We present an active-volume-aware compilation of the ground-state energy estimation algorithm for the two-dimensional Fermi-Hubbard model using quantum phase estimation and Trotterized time evolution. The proposed compilation reduces the active volume across $L\times L$ square lattices with $L=4$ to $20$, achieving up to a $3.9\times$ reduction over prior work optimized for non-Clifford cost. As a by-product of these compilation improvements, the resulting circuits also achieve state-of-the-art Toffoli counts, with a ~$2\times$ reduction for the $L=20$ case. Lastly, the active volume architecture and recent execution scheduling advances provide a means of translating these reduction trends into runtime. This demonstrates the increasing importance of architecture-aware compilation for practical early fault-tolerant quantum computing.

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