Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer
- URL: http://arxiv.org/abs/2402.12661v2
- Date: Thu, 14 Mar 2024 09:53:43 GMT
- Title: Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer
- Authors: Miguel Mercado, Kyle Chen, Parth Darekar, Aiichiro Nakano, Rosa Di Felice, Stephan Haas,
- Abstract summary: Control of topological edge modes is desirable for encoding quantum information resiliently against external noise.
Our results provide a pathway towards stable long-time implementation of interacting many-body systems on present day quantum processors.
- Score: 0.791663505497707
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Their implementation on quantum hardware, however, remains a long-standing problem due to current limitations of circuit depth and noise, which grows with the number of time steps. By utilizing recently developed constant-depth quantum circuits in which the circuit depth is independent of time, we demonstrate successful long-time dynamics simulation of bulk and surface modes in topological insulators on noisy intermediate-scale quantum (NISQ) processors, which exhibits robust signatures of localized topological modes. We further identify a class of one-dimensional topological Hamiltonians that can be readily simulated with NISQ hardware. Our results provide a pathway towards stable long-time implementation of interacting many-body systems on present day quantum processors.
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