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Stabilizer Testing and Magic Entropy (2306.09292v1)
Published 15 Jun 2023 in quant-ph, cs.CC, math-ph, and math.MP
Abstract: 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.