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

2025/10/16 by Ivan H. C. Shum, Shum, Ivan H. C.
Computer Science · #Coding theory and cryptography #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.2510.15107

openalex publication_date 2025/10/16 · openalex created_date 2025/10/21 · openalex updated_date 2026/07/28

Abstract

An algorithm which encodes the L× 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.

Citations

• Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains

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