Web: http://arxiv.org/abs/2206.11506

June 24, 2022, 1:10 a.m. | Yiyou Chen, Hideyuki Miyahara, Louis-S. Bouchard, Vwani Roychowdhury

cs.LG updates on arXiv.org arxiv.org

Efficient measures to determine similarity of quantum states, such as the
fidelity metric, have been widely studied. In this paper, we address the
problem of defining a similarity measure for quantum operations that can be
\textit{efficiently estimated}. Given two quantum operations, $U_1$ and $U_2$,
represented in their circuit forms, we first develop a quantum sampling circuit
to estimate the normalized Schatten 2-norm of their difference ($\| U_1-U_2
\|_{S_2}$) with precision $\epsilon$, using only one clean qubit and one
classical random …

applications approximation arxiv learning quantum

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