In a collaboration with colleagues in the Netherlands and the United States, we have now published our work towards a detailed understanding of the performance of holographic quantum error-correcting codes in Physical Review A. Specifically, we considered biased noise, a sophisticated setting of quantum noise in which different types of fundamental Pauli errors -- X, Y, and Z -- occur with different probabilities. Such error biases can be exploited by applying quantum codes that are particularly suitable in these bias regimes. To determine if the newly proposed class of holographic codes are useful under biased noise, we numerically explored how different types of holographic codes handle different bias regimes, finding that some of them indeed perform as well or better than state-of-the-art quantum codes for specific biases. This strengthens the case for further investigating the potential of holographic encoding techniques for future quantum computing applications.

Link to publication: journals.aps.org/pra/abstract/10.1103/rcxg-x3hy