It’s a long-standing theoretical prediction that mutual information in locally interacting, many-body quantum systems follows an area law. Using cold-atom quantum-field simulators on an atom chip to measure the scaling of von Neumann entropy and mutual information, that prediction is now proved true.
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References
Wolf, M. M., Verstraete, F., Hastings, M. B. & Cirac, J. I. Area laws in quantum systems: Mutual information and correlations. Phys. Rev. Lett. 100, 070502 (2008). This paper reports the theoretical prediction of the mutual information area law.
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Schweigler, T. et al. Decay and recurrence of non-Gaussian correlations in a quantum many-body system. Nat. Phys. 17, 559–563 (2021). This paper presents a measurement of the dynamics of higher-order correlations in an atom chip experiment.
Gluza, M. et al. Quantum read-out for cold atomic quantum simulators. Commun. Phys. 3, 12 (2020). This paper sets out the tomography procedure for the atom chip experiments.
Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009). A detailed review of quantum entanglement.
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This is a summary of: Tajik, M. et al. Verification of the area law of mutual information in a quantum field simulator. Nat. Phys. https://doi.org/10.1038/s41567-023-02027-1 (2023).
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Accessing quantum information of field theories with ultracold atoms. Nat. Phys. 19, 941–942 (2023). https://doi.org/10.1038/s41567-023-02050-2
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DOI: https://doi.org/10.1038/s41567-023-02050-2