Qudit homological product codes
M\'at\'e Farkas, P\'eter Vrana
TL;DR
This paper extends the homological product code construction to qudits of prime dimension D, providing new insights and proof techniques for quantum error correction codes.
Contribution
It generalizes the existing construction from qubits to qudits of prime dimension D, introducing novel proof ideas.
Findings
Extension of code construction to prime-dimensional qudits
New proof techniques for homological product codes
Potential for improved quantum error correction
Abstract
In this note we show that the random homological product code construction of Bravyi and Hastings can be extended to qudits of dimension D with D an odd prime. While the result is not surprising, the proof does require new ideas.
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