Morphing Quantum Codes
نویسندگان
چکیده
We introduce a morphing procedure that can be used to generate new quantum codes from existing codes. In particular, we morph the 15-qubit Reed-Muller code obtain $[\![10,1,2]\!]$ is smallest known stabilizer with fault-tolerant logical $T$ gate. addition, construct family of hybrid color-toric by color code. Our inherits gates original code, implemented via constant-depth local unitaries. As special case this construction, toric multi-qubit control-$Z$ gates. also provide an efficient decoding algorithm for in two dimensions, and numerically benchmark its performance phase-flip noise. expect may useful technique modifying other families such as triorthogonal
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ژورنال
عنوان ژورنال: PRX quantum
سال: 2022
ISSN: ['2691-3399']
DOI: https://doi.org/10.1103/prxquantum.3.030319