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A Silicon Surface Code Architecture Resilient Against Leakage Errors

Cai, Z; Fogarty, MA; Schaal, S; Patomaki, S; Benjamin, SC; Morton, JJL; (2019) A Silicon Surface Code Architecture Resilient Against Leakage Errors. Quantum , 3 p. 212. 10.22331/q-2019-12-09-212. Green open access

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Abstract

Spin qubits in silicon quantum dots are one of the most promising building blocks for large scale quantum computers thanks to their high qubit density and compatibility with the existing semiconductor technologies. High fidelity single-qubit gates exceeding the threshold of error correction codes like the surface code have been demonstrated, while two-qubit gates have reached 98% fidelity and are improving rapidly. However, there are other types of error --- such as charge leakage and propagation --- that may occur in quantum dot arrays and which cannot be corrected by quantum error correction codes, making them potentially damaging even when their probability is small. We propose a surface code architecture for silicon quantum dot spin qubits that is robust against leakage errors by incorporating multi-electron mediator dots. Charge leakage in the qubit dots is transferred to the mediator dots via charge relaxation processes and then removed using charge reservoirs attached to the mediators. A stabiliser-check cycle, optimised for our hardware, then removes the correlations between the residual physical errors. Through simulations we obtain the surface code threshold for the charge leakage errors and show that in our architecture the damage due to charge leakage errors is reduced to a similar level to that of the usual depolarising gate noise. Spin leakage errors in our architecture are constrained to only ancilla qubits and can be removed during quantum error correction via reinitialisations of ancillae, which ensure the robustness of our architecture against spin leakage as well. Our use of an elongated mediator dots creates spaces throughout the quantum dot array for charge reservoirs, measuring devices and control gates, providing the scalability in the design.

Type: Article
Title: A Silicon Surface Code Architecture Resilient Against Leakage Errors
Open access status: An open access version is available from UCL Discovery
DOI: 10.22331/q-2019-12-09-212
Publisher version: https://doi.org/10.22331/q-2019-12-09-212
Language: English
Additional information: This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
Keywords: Science & Technology, Physical Sciences, Quantum Science & Technology, Physics, Multidisciplinary, Physics, QUANTUM-DOT, ELECTRON-SPIN, QUBIT, GATE, MANIPULATION, COMPUTATION, COHERENCE, FIDELITY, NOISE
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
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 > London Centre for Nanotechnology
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10088203
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