Squeezed‐Vacuum Bosonic Codes
Nir Gutman, Eliya Blumenthal, Shay Hacohen-Gourgy, Ariel Orda, Ido E. Kaminer · Advanced Physics Research · 2026
ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in evenly spaced photon‐number support . We present simple preparation circuits for general “‐legged” codewords using sequences of conditional rotations. The performance of these codes is evaluated against loss and dephasing noises using the Knill–Laflamme violation function and benchmarked against cat codes, binomial codes, and finite‐energy GKP codes. As the number of squeezed‐vacuum states in a code increases, the code exhibits improved loss tolerance at the cost of higher dephasing sensitivity. We outline implementations in circuit QED and trapped‐ion platforms, where high‐fidelity Gaussian operations and conditional controls are available or under active development. These results help establish squeezed‐vacuum codes as practical, hardware‐compatible, members of the bosonic codes class.