Simulation of Fermionic circuits using Majorana Propagation

• URL: http://arxiv.org/abs/2503.18939v2
• Date: Sat, 29 Mar 2025 14:52:00 GMT
• Title: Simulation of Fermionic circuits using Majorana Propagation
• Authors: Aaron Miller, Zoë Holmes, Özlem Salehi, Rahul Chakraborty, Anton Nykänen, Zoltán Zimborás, Adam Glos, Guillermo García-Pérez,
• Abstract summary: Majorana Propagation is an algorithmic framework for the classical simulation of Fermionic circuits.<n>It operates by applying successive truncations throughout the Heisenberg evolution of the observable.<n>It can be used to simulate Fermionic systems relevant to quantum chemistry and condensed matter.
• Score: 0.5661403709207713
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce Majorana Propagation, an algorithmic framework for the classical simulation of Fermionic circuits. Inspired by Pauli Propagation, Majorana Propagation operates by applying successive truncations throughout the Heisenberg evolution of the observable. We identify monomial length as an effective truncation strategy for typical, unstructured circuits by proving that high-length Majorana monomials are exponentially unlikely to contribute to expectation values and the backflow of high-length monomials to lower-length monomials is quadratically suppressed. Majorana Propagation can be used either independently, or in conjunction with quantum hardware, to simulate Fermionic systems relevant to quantum chemistry and condensed matter. We exemplify this by using Majorana Propagation to find circuits that approximate ground states for strongly correlated systems of up to 52 Fermionic modes. Our results indicate that Majorana Propagation is orders of magnitude faster and more accurate than state-of-the-art tensor-network-based circuit simulators.

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