For a (2r + 2)-packet code, quantum memory fidelity now scales to O(γ^(r+1)), simultaneously sensing external forces without disturbing the encoded qubit, a feat previously thought impossible. Encodings using six or more packets eliminate first-order errors from photon-number dephasing, achieving both protection and measurement within a single mode. This resolves a fundamental conflict in continuous variable systems where sensors accumulate displacement while codes suppress it.
