Stabilizer Testing and Magic Entropy

06/15/2023

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by   Kaifeng Bu, et al.

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We introduce systematic protocols to perform stabilizer testing for quantum states and gates. These protocols are based on quantum convolutions and swap-tests, realized by quantum circuits that implement the quantum convolution for both qubit and qudit systems. We also introduce ”magic entropy” to quantify magic in quantum states and gates, in a way which may be measurable experimentally.