Year: 2024
Type: preprint
Abstract: Operator spreading has profound implications in diverse fields ranging from statistical mechanics and blackhole physics to quantum information. The usual way to quantify it is through out-of-time-order correlators (OTOCs), which are the quantum analog to Lyapunov exponents in classical chaotic dynamics. In this work we explore the phenomenon of operator spreading in quantum simulation of electronic structure in quantum computers. To substantiate our results, we focus on a hydrogen chain $H_4$ and demonstrate that operator spreading is enhanced when the chain is far from its equilibrium geometry. We also investigate the dynamics of bipartite entanglement and its dependence on the partition's size. Our findings reveal distinctive signatures closely resembling area- and volume-laws in equilibrium and far-from-equilibrium geometries, respectively. Our results provide insight of operator spreading of coherent errors in quantum simulation of electronic structure and can be experimentally implemented in various platforms available today.
Source: arXiv (Cornell University)
Authors: Joven, K. J., Bastidas, V. M.
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4398229785