Virtual projection onto the code space for rotation-symmetric bosonic codes*

Bosonic quantum error correction codes offer hardware-friendly strategies for error correction because they can use the infinite dimension of Hilbert space of harmonic oscillators. In this talk, we give a framework for virtually projecting the noisy state quantum state for rotation symmetric bosonic codes, e.g., cat codes and binomial codes in an error mitigation manner. Our work allows us to compute the same expectation value in a much more hardware-friendly way than the case in which we apply quantum error detection for rotation symmetric codes. Our framework paves the way towards high-accuracy bosonic quantum computing.