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Technical Program

Paper Detail

Paper IDD3-S7-T4.1
Paper Title CSS Codes that are Oblivious to Coherent Noise
Authors Jingzhen Hu, Qingzhong Liang, Duke University, United States; Narayanan Rengaswamy, University of Arizona, United States; Robert Calderbank, Duke University, United States
Session D3-S7-T4: Quantum Codes & Channels
Chaired Session: Thursday, 15 July, 00:00 - 00:20
Engagement Session: Thursday, 15 July, 00:20 - 00:40
Abstract 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.