Paper Image

Simplified magic classification of quantum convolution states

Published on:

8 February 2024

Primary Category:

Quantum Physics

Paper Authors:

Kaifeng Bu,

Arthur Jaffe,

Zixia Wei

Bullets

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.

Answers from this paper

Comments

No comments yet, be the first to start the conversation...

Sign up to comment on this paper

Sign Up