Oscillator-to-Oscillator Codes Do Not Have a Threshold
Explore a technical lecture on the limitations of oscillator-to-oscillator codes in quantum error correction. Delve into the research findings of Robert König from the Technical University of Munich, presented at the Entropy Inequalities, Quantum Information and Quantum Physics 2021 conference. Examine the proposed bosonic oscillator-to-oscillator codes using non-Gaussian resource states and their effectiveness in reducing error strength at the logical level. Investigate the question of whether these codes possess a threshold property similar to qubit error-correcting codes. Discover the general lower bound on logical error probability and its implications for physically implementable families of oscillator-to-oscillator codes combined with maximum likelihood error decoding. Learn about the joint work with Lisa Hänggli, covering topics such as threshold for code families, bosonic N-mode systems, recovery for GKP codes, and bounding the degenerate Voronoi cell.