Pauli web of the $|Y\rangle$ state surface code injection

TL;DR

This paper uses ZX-calculus and Pauli web techniques to analyze the process of injecting the |Y⟩ state into a rotated surface code, providing insights into quantum error correction procedures.

Contribution

It introduces a novel application of ZX-calculus and Pauli web to understand |Y⟩ state injection in surface codes, enhancing theoretical understanding.

Findings

Clarifies the process of |Y⟩ state injection using graphical calculus.

Provides a new framework for analyzing surface code operations.

Improves understanding of error correction mechanisms.

Abstract

We employ ZX-calculus and Pauli web to understand the $|Y\rangle$ state injection on the rotated surface code.