Breuckmann, NP;
Vuillot, C;
Campbell, E;
Krishna, A;
Terhal, BM;
(2017)
Hyperbolic and semi-hyperbolic surface codes for quantum storage.
Quantum Science and Technology
, 2
(3)
, Article 035007. 10.1088/2058-9565/aa7d3b.
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Abstract
We show how a hyperbolic surface code could be used for overhead-efficient quantum storage. We give numerical evidence for a noise threshold of $1.3 \% $ for the $\{4,5\}$-hyperbolic surface code in a phenomenological noise model (as compared with $2.9 \% $ 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 $\{4,5\}$-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.
| Type: | Article |
|---|---|
| Title: | Hyperbolic and semi-hyperbolic surface codes for quantum storage |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/2058-9565/aa7d3b |
| Publisher version: | https://doi.org/10.1088/2058-9565/aa7d3b |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10069243 |
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