# Quantum signatures of chaos in noisy tomography

**Authors:** Abinash Sahu, Naga Dileep Varikuti, Vaibhav Madhok  
**arXiv:** [2211.11221](https://arxiv.org/abs/2211.11221)  
**Date:** 2022-11-21  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/2211.11221v5/

## Key points

- Authors: Abinash Sahu, Naga Dileep Varikuti, Vaibhav Madhok
- Relationship between quantum chaos and information scrambling
- Use of continuous measurement quantum tomography for investigation
- Operational interpretation of Loschmidt echo for operators
- Introduction of out-of-time-ordered correlator (OTOC) as a novel metric
- Fundamental connection between Loschmidt echo and error propagation in chaotic systems
- Practical implications for quantum simulations and information processing techniques

## Summary

In their paper titled "Quantum signatures of chaos in noisy tomography," authors Abinash Sahu, Naga Dileep Varikuti, and Vaibhav Madhok delve into the intricate relationship between quantum chaos and information scrambling. They explore how errors within a system are affected by perturbations introduced to its dynamics using continuous measurement quantum tomography as a framework for their investigation. Through their research, they establish an operational interpretation of Loschmidt echo for operators and introduce a novel metric known as an out-of-time-ordered correlator (OTOC) to quantify error scrambling. The findings highlight the fundamental connection between Loschmidt echo and error propagation within chaotic systems and have practical implications for quantum simulations and information processing techniques.