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Undesired coupling to the surrounding environment destroys long-range correlations on quantum processors and hinders the coherent evolution in the nominally available computational space.
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Note that the transition discussed here is qualitatively different from the quantum to classical transition discussed in Ref. Aharonov 2000 . The transition discussed here is a competition between the finite rate of convergence to the overall ergodic state and the fidelity per cycle. The transition in Ref. Aharonov 2000 is a competition between local interactions and the error rate per qubit
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See Ref. Ware et al. 2023 for a related numerical study in the case of all-to-all connectivity
2023
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