Speaker
Description
Quantum error correction (QEC) is essential for fault-tolerant quantum computing, protecting quantum information from noise and decoherence. The Gottesman-Kitaev-Preskill (GKP) encoding is a leading QEC scheme in continuous-variable (CV) quantum computing, offering robustness against displacement errors. However, a major challenge in GKP encoding is efficiently generating non-Pauli eigenstates, which are required for universal quantum computation. While Clifford operations can be implemented using Gaussian optical elements, achieving non-Clifford transformations typically requires nonlinear interactions, which are experimentally demanding.
In this work, we introduce a novel measurement-based approach to generating non-Clifford logical states in GKP encoding. Inspired by measurement-based quantum computation (MBQC), we construct a two-mode photonic cluster state by interfering two squeezed GKP states on a beamsplitter. By applying a phase shift to one mode before performing homodyne measurement, we induce a transformation on the remaining mode. We explore how tuning the measurement basis in a rotated phase space affects the post-measurement state. Our results show that for specific rotation angles, the measurement collapses the remaining mode into a non-Pauli eigenstate, including potential magic states. This provides an experimentally feasible method to generate non-Pauli eigenstates.
Our findings demonstrate a practical approach to state engineering in photonic architectures, a promising platform for scalable quantum computing. This measurement-based strategy circumvents the need for direct nonlinear interactions, paving the way for more accessible implementations of universal quantum computation with GKP-encoded states.
| Keyword-1 | Quantum Error Correction |
|---|---|
| Keyword-2 | CV Quantum Computing |
| Keyword-3 | GKP-encoded states |
