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Simplified magic classification of quantum convolution states

Published on:

8 February 2024

Primary Category:

Quantum Physics

Paper Authors:

Kaifeng Bu,

Arthur Jaffe,

Zixia Wei


Key Details

Introduce concept of magic class to categorize quantum states

Construct efficient convolution group coarse-graining procedure

Relate circuit and convolution magic classes

Characterize classes by symmetries and entropy

AI generated summary

Simplified magic classification of quantum convolution states

We introduce a classification of quantum states based on their 'magic' or non-stabilizerness, which measures usefulness for quantum computation. We propose an iterative coarse-graining procedure called the convolution group to extract this magic. States fall into equivalence classes based on symmetries and entropy at the fixed points of this coarse-graining flow. This connects to circuit-based classification, providing insight into quantum phases of matter.

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