|| CSS Codes that are Oblivious to Coherent Noise
||Jingzhen Hu, Qingzhong Liang, Duke University, United States; Narayanan Rengaswamy, University of Arizona, United States; Robert Calderbank, Duke University, United States|
||D3-S7-T4: Quantum Codes & Channels
||Thursday, 15 July, 00:00 - 00:20
||Thursday, 15 July, 00:20 - 00:40
Physical platforms such as trapped ions suffer from coherent noise where errors manifest as rotations about a particular axis, and can accumulate over time. We investigate passive mitigation through decoherence free subspaces, requiring the noise to preserve the code space of a stabilizer code and to act as the logical identity operator on the protected information. We derive necessary and sufficient conditions which require the existence of a large number of weight-2 Z-stabilizers that generate a direct product of single-parity-check codes. By adjusting the size of these components, we are able to construct a large family of CSS codes, oblivious to coherent noise, that includes the [[4L^2, 1, 2L]] Shor codes.