# Quantum simulation of operator spreading in the chaotic Ising model.

@article{Geller2022QuantumSO, title={Quantum simulation of operator spreading in the chaotic Ising model.}, author={Michael R. Geller and Andrew Arrasmith and Zoe Holmes and Bin Yan and Patrick J. Coles and Andrew T. Sornborger}, journal={Physical review. E}, year={2022}, volume={105 3-2}, pages={ 035302 } }

There is great interest in using near-term quantum computers to simulate and study foundational problems in quantum mechanics and quantum information science, such as the scrambling measured by an out-of-time-ordered correlator (OTOC). Here we use an IBM Q processor, quantum error mitigation, and weaved Trotter simulation to study high-resolution operator spreading in a four-spin Ising model as a function of space, time, and integrability. Reaching four spins while retaining high circuit…

## 2 Citations

Benchmarking Information Scrambling

- Computer SciencePhysical Review Letters
- 2022

This work provides a simple and robust approach to single out the degree of genuine scrambling from the noisy backgrounds of information scrambling, and demonstrates the protocol with simulations on IBM cloud-based quantum computers.

Quantum Algorithms for Testing Hamiltonian Symmetry

- Physics, Computer Science
- 2022

This paper proposes quantum algorithms capable of testing whether a Hamiltonian exhibits symmetry with respect to a group and demonstrates that familiar expressions of Hamiltonian symmetry in quantum mechanics correspond directly with the acceptance probabilities of these algorithms.

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