New Journal of Physics (Jan 2024)

Majorana subsystem qubit codes that also correct odd-weight errors

  • Sourav Kundu,
  • Ben Reichardt

DOI
https://doi.org/10.1088/1367-2630/ad4737
Journal volume & issue
Vol. 26, no. 7
p. 073029

Abstract

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A potential platform for topological quantum computation is the Majorana-based tetron architecture. Its building blocks are superconducting islands called tetrons, which host four Majorana zero modes. Existing error correcting codes can correct even-weight errors on tetrons. In a previous proposal by us, we had shown that incorporating tetrons in the stabilizer group allows us to correct a combination of odd-weight errors and even-weight errors on tetrons. In this work, we show that inclusion of tetrons in the gauge group lets us create subsystem codes from conventional Pauli stabilizer codes, which can correct both kinds of errors. Compared to the previous approach, the current approach lets us construct codes with fewer stabilizer generators. This leads to shorter fault-tolerant sequence length, and improves the fault-tolerant pseudothreshold by as much as 84%.

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