Efficient encoding of the 2D toric code logical state using local Clifford gates

• URL: http://arxiv.org/abs/2510.15107v1
• Date: Thu, 16 Oct 2025 19:57:04 GMT
• Title: Efficient encoding of the 2D toric code logical state using local Clifford gates
• Authors: Ivan H. C. Shum,
• Abstract summary: An algorithm which encodes the $Ltimes L$ 2D toric code logical state with a circuit of depth $2L+1$ is presented.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: An algorithm which encodes the $L\times L$ 2D toric code logical state with a circuit of depth $2L+1$, using only local controlled-NOT($CX$) and Hadamard($H$) gates, is presented.

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