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Optimal compression of quantum many-body time evolution operators into brickwall circuits
by Maurits S. J. Tepaske, Dominik Hahn and David J. Luitz
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | David J. Luitz · Maurits Tepaske |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202205_00013v2 (pdf) |
| Date accepted: | 2023-01-10 |
| Date submitted: | 2022-10-24 18:30 |
| Submitted by: | Tepaske, Maurits |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
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.
List of changes
- Added appendix with details on optimization.
- Added appendix on the learning of Hamiltonian lattice inversion symmetry.
- Replace absolute OTOC values in main text with relative errors, which is now moved to the appendix with the other OTOC plots.
- Added plot of OTOC refocussing to appendix.
- Small changes to the text, e.g. gate counts of used circuits now explicitly mentioned.
Published as SciPost Phys. 14, 073 (2023)
Reports on this Submission
Report #2 by Michael Flynn (Referee 2) on 2022-11-29 (Invited Report)
Report
I am satisfied by the author's responses to previous requests for edits, and in their responses to more detailed questions. I'm happy to recommend this for publication.
Report #1 by Subhayan Sahu (Referee 1) on 2022-11-22 (Invited Report)
Report
The authors have sufficiently modified the paper to address the points raised in the previous report.