Shallow quantum circuits (QNC0) are proven to outperform shallow classical circuits (NC0) as hypothesis classes for PAC distribution learning of a constructed distribution family, with an error advantage of 1/pi.
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An unconditional distribution learning advantage with shallow quantum circuits
Shallow quantum circuits (QNC0) are proven to outperform shallow classical circuits (NC0) as hypothesis classes for PAC distribution learning of a constructed distribution family, with an error advantage of 1/pi.