作者
Nikolas P Breuckmann, Christophe Vuillot, Earl Campbell, Anirudh Krishna, Barbara M Terhal
发表日期
2017/8/2
期刊
Quantum Science and Technology
卷号
2
期号
3
页码范围
035007
出版商
IOP Publishing
简介
We show how a hyperbolic surface code could be used for overhead-efficient quantum storage. We give numerical evidence for a noise threshold of for the -hyperbolic surface code in a phenomenological noise model (as compared with for the toric code). In this code family, parity checks are of weight 4 and 5, while each qubit participates in four different parity checks. We introduce a family of semi-hyperbolic codes that interpolate between the toric code and the -hyperbolic surface code in terms of encoding rate and threshold. We show how these hyperbolic codes outperform the toric code in terms of qubit overhead for a target logical error probability. We show how Dehn twists and lattice code surgery can be used to read and write individual qubits to this quantum storage medium.
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NP Breuckmann, C Vuillot, E Campbell, A Krishna… - Quantum Science and Technology, 2017