REVIEW 2 cited by
A ZX-Calculus Approach for the Construction of Graph Codes
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
A ZX-Calculus Approach for the Construction of Graph Codes
read the original abstract
Quantum Error-Correcting Codes (QECCs) play a crucial role in enhancing the robustness of quantum computing and communication systems against errors. Within the realm of QECCs, stabilizer codes, and specifically graph codes, stand out for their distinct attributes and promising utility in quantum technologies. This study underscores the significance of devising expansive QECCs and adopts the ZX-calculus a graphical language adept at quantum computational reasoning-to depict the encoders of graph codes effectively. Through the integration of ZX-calculus with established encoder frameworks, we present a nuanced approach that leverages this graphical representation to facilitate the construction of large-scale QECCs. Our methodology is rigorously applied to examine the intricacies of concatenated graph codes and the development of holographic codes, thus demonstrating the practicality of our graphical approach in addressing complex quantum error correction challenges. This research contributes to the theoretical understanding of quantum error correction and offers practical tools for its application, providing objective advancements in the field of quantum computing.
Forward citations
Cited by 2 Pith papers
-
Chutes and Ladders: Dynamical Automorphisms via the ZX-Calculus
Extends ZX-calculus to dynamical stabilizer codes via gauge fixing to construct measurement-based logical automorphisms, shown with a distance-preserving phase gate on the seven-qubit code.
-
Synthesis and Optimization of Encoding Circuits for Fault-Tolerant Quantum Computation
New search algorithms over stabilizer tableaus and modular assembly techniques yield encoders with up to 43% fewer two-qubit gates and 70% lower depth than prior constructions on tested stabilizer codes including qLDP...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.