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Mechanisms for suppressing thermalization in disorder-free many-body systems,
such as Hilbert space fragmentation and quantum many-body scars, have recently
attracted much interest in foundations of quantum statistical physics and
potential quantum information processing applications. However, their
sensitivity to realistic effects such as finite temperature remains largely
unexplored. Here, we have utilized IBM's Kolkata quantum processor to
demonstrate an unexpected robustness of quantum many-body scars at finite
temperatures when the system is prepared in a thermal Gibbs ensemble. We
identify such robustness in the PXP model, which describes quantum many-body
scars in experimental systems of Rydberg atom arrays and ultracold atoms in
tilted Bose--Hubbard optical lattices. By contrast, other theoretical models
which host exact quantum many-body scars are found to lack such robustness, and
their scarring properties quickly decay with temperature. Our study sheds light
on the important differences between scarred models in terms of their algebraic
structures, which impacts their resilience to finite temperature.
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