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

Ivan H. C. Shum·October 16, 2025
Quantum Physics

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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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