Scalable quantum circuit simulation of a chaotic Ising chain

Fuente: arXiv
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Autores principales: Chakraborty, Sabyasachi, Sarkar, Rohit Sarma, Majumder, Sonjoy
Formato: Preprint
Publicado: 2025
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author Chakraborty, Sabyasachi
Sarkar, Rohit Sarma
Majumder, Sonjoy
author_facet Chakraborty, Sabyasachi
Sarkar, Rohit Sarma
Majumder, Sonjoy
contents The recent advancements in out-of-time-ordered correlator (OTOC) measurements have provided a promising pathway to explore quantum chaos and information scrambling. However, despite recent advancements, their experimental realization remains challenging due to the complexity of implementing backward time evolution. Here, we present a scalable quantum circuit combined with the interferometric protocol, offering a more efficient framework for OTOC measurement. Using this method, we simulate commutator growth in integrable and chaotic regimes of a 9-qubit Ising chain. Our Trotterized circuit achieves errors below $10^{-11}$ with 4th-order Trotterization and performs well even with lower-order Trotterization approximations. We believe, this approach paves the way for studying information dynamics, highly entangled quantum systems, and complex observables efficiently.
format Preprint
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institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scalable quantum circuit simulation of a chaotic Ising chain
Chakraborty, Sabyasachi
Sarkar, Rohit Sarma
Majumder, Sonjoy
Quantum Physics
The recent advancements in out-of-time-ordered correlator (OTOC) measurements have provided a promising pathway to explore quantum chaos and information scrambling. However, despite recent advancements, their experimental realization remains challenging due to the complexity of implementing backward time evolution. Here, we present a scalable quantum circuit combined with the interferometric protocol, offering a more efficient framework for OTOC measurement. Using this method, we simulate commutator growth in integrable and chaotic regimes of a 9-qubit Ising chain. Our Trotterized circuit achieves errors below $10^{-11}$ with 4th-order Trotterization and performs well even with lower-order Trotterization approximations. We believe, this approach paves the way for studying information dynamics, highly entangled quantum systems, and complex observables efficiently.
title Scalable quantum circuit simulation of a chaotic Ising chain
topic Quantum Physics
url https://arxiv.org/abs/2502.17286