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arXiv · 2109.09629

A short note on the 0-fidelity

Karl Mayer
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Abstract

A recent article introduced a hierarchy of quantities called $k$-fidelities that approximate the quantum process fidelity with increasing accuracy. The lowest approximation in this hiearchy is the $0$-fidelity. The authors gave a protocol for estimating the $0$-fidelity and showed numerical evidence that it approximates the process fidelity. In this note, we prove lower and upper bounds on the process fidelity as linear functions of the 0-fidelity. By solving a semidefinite program, we provide evidence that the lower bound is tight.

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Karl Mayer. 2021-09-20. A short note on the 0-fidelity. https://arxiv.org/abs/2109.09629

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