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About this paper
Yaroslav Herasymenko, Junqiao Lin, Philip Verduyn Lunel, Dmitry Grinko
The authors develop a symmetry-based quantum channel that adds copies of an unknown structured state without estimating it first. For n-mode fermionic Gaussian states, the optimal trace-distance sample complexity for adding one copy is n(n−1)/(2ε)[1+O(ε)] as ε approaches zero, uniformly for n≥2, a polynomial rather than exponential scaling in n; this result does not extend to other families.
Summary by alphaXiv.
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