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Adiabatic Motion of Fault Tolerant Qubits

  • Author(s): Drummond, David Edward
  • Advisor(s): Pryadko, Leonid P
  • et al.
Abstract

This work proposes and analyzes the adiabatic motion of fault tolerant qubits in two

systems as candidates for the building blocks of a quantum computer. The first proposal

examines a pair of electron spins in double quantum dots, finding that the leading

source of decoherence, hyperfine dephasing, can be suppressed by adiabatic rotation

of the dots in real space. The additional spin-orbit effects introduced by this motion

are analyzed, simulated, and found to result in an infidelity below the error-correction

threshold. The second proposal examines topological qubits formed by Majorana zero

modes theorized to exist at the ends of semiconductor nanowires coupled to conventional

superconductors. A model is developed to design adiabatic movements of the Majorana

bound states to produce entangled qubits. Analysis and simulations indicate that these

adiabatic operations can also be used to demonstrate entanglement experimentally by

testing Bell's theorem.

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