Exponential suppression of Pauli errors in Majorana qubits via quasiparticle detection

• DOI: 10.48550/arxiv.2307.08896
• Publication Date: 2023-01-01
• Authors: Abhijeet Alase; Kevin D. Stubbs; Barry C. Sanders; David L. Feder
• Keywords: Pauli exclusion principle; Code (set theory)

Quasiparticle poisoning errors in Majorana-based qubits are not suppressed by the underlying topological properties, which undermines usefulness of this proposed platform. This work tackles issue via quasiparticle measurement. Error-detecting Majorana stabilizer codes constructed whose stabilizers can be measured means Wannier position operators. For a logical qubit encoded one these codes, Pauli error rates exponentially code distance, result tied to exponential localization functions. The benefit comes at cost loss rate that increases linearly with but readily compensated for suitable outer code. framework developed here serves as basis understanding how realistic measurements, such conductance could utilized achieving fault tolerance systems. also demonstrates theory functions lead correcting beyond standard uncovering another fruitful connection between condensed matter physics and quantum information theory.