Abstract

This work shows that by exploring the collective response of a many-body nuclear-spin system, the correlation between various parts of it can be studied. The appearance of the higher correlation orders, as a qubit shares its quantum information with the surrounding qubits, is used to measure quantum information flow.

Highlights

  • The development of quantum technologies is obstructed by the loss of quantum properties caused by interactions with the environment that lead to decoherence [1,2,3,4,5]

  • For a more detailed analysis of the results for the nonlocal order correlation function (OTOC) presented in Fig. 4(b), we show in Fig. 5(a), the OTOC as a function of the evolution time T for different perturbation strengths and compare it with Fig. 5(b), where the OTOC is presented as a function of the Hamming weight spread

  • We introduced the scrambling immunity factor to characterize the capability of environment perturbations to disrupt the system-environment correlations

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Summary

INTRODUCTION

The development of quantum technologies is obstructed by the loss of quantum properties caused by interactions with the environment that lead to decoherence [1,2,3,4,5]. Our experiment is well-equipped to directly measure correlations between the system and the environment It builds upon solid-state nuclear magnetic resonance (NMR) methods that have been employed to detect multiple-quantum coherences in homonuclear many-body systems [11,12,13,14,15,16,17,18,19]. In the case of many-body quantum systems, existing NMR experiments have used the Loschmidt echo and shown that depending on the interaction Hamiltonian, both Gaussian and exponential decays can be observed [37,38].

Sample description
Correlation detection experiment
Flow of quantum information
Information scrambling experiment
Nonlocal out-of-time-order correlation function
Effectiveness of information scrambling
CONCLUSION
Sample
Spin groups in the environment
NMR experiments
Control sequence for the environment
Growth of the correlated multispin terms
Findings
Correlation orders versus number of correlated spins

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