Simulating quantum error mitigation in fermionic encodings

arXiv (Cornell University)

Abstract

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

Authors 5

1. Riley W. Chien

   Dartmouth College

   Affiliation as printed

   Department of Physics and Astronomy , Dartmouth College , Hanover , NH 03755 , USA

2. Kanav Setia

   Dartmouth College

   Affiliation as printed

   Department of Physics and Astronomy , Dartmouth College , Hanover , NH 03755 , USA

   qBraid , 5235 , Harper Court , Chicago , IL , USA

3. Xavier Bonet-Monroig Aachen Instituut-Lorentz

   Leiden University

   Affiliation as printed

   Instituut-Lorentz , Universiteit Leiden , P.O. Box 9506 , 2300 RA Leiden , The Netherlands

4. Mark Steudtner
5. James Daniel Whitfield

   Dartmouth College

   Affiliation as printed

   Department of Physics and Astronomy , Dartmouth College , Hanover , NH 03755 , USA