Simulating quantum error mitigation in fermionic encodings

• DOI: 10.48550/arxiv.2303.02270
• Publication Date: 2023-01-01
• Authors: Riley W. Chien; Kanav Setia; Xavier Bonet-Monroig; Mark Steudtner; James Whitfield
• Keywords: Postselection

The most scalable proposed methods of simulating lattice fermions on noisy quantum computers employ encodings that eliminate nonlocal operators using a constant factor more qubits and nontrivial stabilizer group. In this work, we investigated the straightforward error mitigation strategy group, postselection, is very natural to setting fermionic simulation. We numerically investigate performance range systems containing up 42 number fundamental simulation tasks including non-equilibrium dynamics variational ground state calculations. find at reasonable noise rates system sizes, fidelity computations can be increased significantly beyond what achieved with standard Jordan-Wigner transformation cost increasing shots by less than 10, potentially providing meaningful boost near-term simulations. Our simulations are enabled new classical algorithms scale logical Hilbert space dimension rather physical dimension.