Optimal compression of quantum many-body time evolution operators into brickwall circuits
Maurits S. J. Tepaske, Dominik Hahn, David J. Luitz
SciPost Phys. 14, 073 (2023) · published 17 April 2023
- doi: 10.21468/SciPostPhys.14.4.073
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Abstract
Near term quantum computers suffer from a degree of decoherence which is prohibitive for high fidelity simulations with deep circuits. An economical use of circuit depth is therefore paramount. For digital quantum simulation of quantum many-body systems, real time evolution is typically achieved by a Trotter decomposition of the time evolution operator into circuits consisting only of two qubit gates. To match the geometry of the physical system and the CNOT connectivity of the quantum processor, additional SWAP gates are needed. We show that optimal fidelity, beyond what is achievable by simple Trotter decompositions for a fixed gate count, can be obtained by compiling the evolution operator into optimal brickwall circuits for the $S=1/2$ quantum Heisenberg model on chains and ladders, when mapped to one dimensional quantum processors without the need of additional SWAP gates.
Cited by 13
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Maurits S. J. Tepaske,
- 2 Dominik Hahn,
- 1 2 David J. Luitz
- 1 Rheinische Friedrich-Wilhelms-Universität Bonn / University of Bonn
- 2 Max-Planck-Institut für Physik komplexer Systeme / Max Planck Institute for the Physics of Complex Systems
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Horizon 2020 (through Organization: European Commission [EC])