Algebraic Compression of Free Fermionic Quantum Circuits: Particle Creation, Arbitrary Lattices and Controlled Evolution

Conference · 17 September 2023 · 2023 IEEE International Conference on Quantum Computing and Engineering (QCE)

DOI:https://doi.org/10.1109/qce57702.2023.10292· OSTI ID:2305348

Kökcü, Efekan ^[1]; Camps, Daan ^[1]; Oftelie, Lindsay Bassman ^[1]; De Jong, Wibe A. ^[1]; Van Beeumen, Roel ^[1]; Kemper, Alexander F. ^[1]

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1. North Carolina State University,Raleigh,NC,USA,27695

In this work [1], we extend our recently introduced algebraic circuit compression algorithms [2], [3] that can compress time evolution circuits of free fermionic Hamiltonians on an n-site 1D chain, equation H(t)=∑i=1n-1 (hi(t)cici+1+pi(t)cici+1)+h.c., 1 equation in three significant ways: (1) we allow for compression of free fermionic Hamiltonians on arbitrary lattices, (2) we incorporate particle creation/annihilation operators into the compression schemes, and (3) we extend the compression scheme to controlled time-evolution operators. We illustrate the effectiveness of our approach by simulating the dynamics of a fermion on a 4× 4 2D square lattice on ibmq_washington, both in the presence and absence of disorder. Our quantum simulations show a remarkably high fidelity which is enabled through the compressed circuits.

• Research Organization: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 2305348
• Journal Information: 2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Conference: 2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA (United States), 17-22 Sep 2023
• Country of Publication: United States
• Language: English