Generalized Conditional Displacement

Quantum 9, 1934 (2025).

https://doi.org/10.22331/q-2025-12-10-1934

Conditional displacement with a qubit ancilla is a critical component in continuous-variable error correction protocols. We present the generalized conditional displacement operator, conditioned on a qudit ancilla, and explore potential implementations. We show how this operator can be used to enhance error correction with Gottesman-Kitaev-Preskill (GKP) codes.