aiqbench takeQuantum Computing

This study reveals that spectral gaps in mean-field Heisenberg ferromagnets remain constant with system size below a critical temperature threshold, challenging assumptions about increasing computational complexity slowing thermalization rates. The findings establish a quantifiable link between symmetry breaking and dynamic properties as qubit counts scale, offering new theoretical bounds for quantum dissipation models.

Source coveringQuantum Zeitgeist

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Spectral Gap of Davies Generator Scales with Qubit Count

Quantum ZeitgeistAugust 3, 20261 min read

The mean-field Heisenberg ferromagnet is a quantum spin model with isotropic spin-1/2 interactions, undergoing an $\mathsf{SU}(2)$ symmetry breaking phase transition at inverse temperature $\beta=2$. Estimates for the spectral gap of the associated Davies generator, as a function of number of qubits $n$, are $\Theta(1)$ for $\beta2$.

Researchers have discovered a surprising stability in the rate of thermalization for quantum systems as their size increases. Joao Basso, Thiago Bergamaschi, Lin Lin,…

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