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Abstract: We present an algorithm that prepares thermal Gibbs states of one dimensionalquantum systems on a quantum computer without any memory overhead, and in atime significantly shorter than other known alternatives. Specifically, thetime complexity is dominated by the quantity $N^{\|h\|- T}$, where $N$ is thesize of the system, $\|h\|$ is a bound on the operator norm of the local termsof the Hamiltonian coupling energy, and $T$ is the temperature. Given otherresults on the complexity of thermalization, this overall scaling is likelyoptimal. For higher dimensions, our algorithm lowers the known scaling of thetime complexity with the dimension of the system by one.



Autor: Ersen Bilgin, Sergio Boixo

Fuente: https://arxiv.org/







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