Scruby, TR;
Browne, DE;
Webster, P;
Vasmer, M;
(2022)
Numerical Implementation of Just-In-Time Decoding in Novel Lattice Slices Through the Three-Dimensional Surface Code.
Quantum
, 6
, Article 721. 10.22331/q-2022-05-24-721.
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Abstract
We build on recent work by B. Brown (Sci. Adv. 6, eaay4929 (2020)) to develop and simulate an explicit recipe for a just-in-time decoding scheme in three 3D surface codes, which can be used to implement a transversal (non-Clifford) CCZ between three 2D surface codes in time linear in the code distance. We present a fully detailed set of bounded-height lattice slices through the 3D codes which retain the code distance and measurement-error detecting properties of the full 3D code and admit a dimensionjumping process which expands from/collapses to 2D surface codes supported on the boundaries of each slice. At each timestep of the procedure the slices agree on a common set of overlapping qubits on which CCZ should be applied. We use these slices to simulate the performance of a simple JIT decoder against stochastic X and measurement errors and find evidence for a threshold pc ∼ 0.1% in all three codes. We expect that this threshold could be improved by optimisation of the decoder
| Type: | Article |
|---|---|
| Title: | Numerical Implementation of Just-In-Time Decoding in Novel Lattice Slices Through the Three-Dimensional Surface Code |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.22331/q-2022-05-24-721 |
| Publisher version: | http://dx.doi.org/10.22331/q-2022-05-24-721 |
| Language: | English |
| Additional information: | This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions. |
| Keywords: | quant-ph, quant-ph |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10150355 |
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