Majorana Fermion Surface Code for Universal Quantum Computation
Author(s)
Hsieh, Timothy H.; Fu, Liang; Vijay, Ksheerasagar
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We introduce an exactly solvable model of interacting Majorana fermions realizing Z[subscript 2] topological order with a Z[subscript 2] fermion parity grading and lattice symmetries permuting the three fundamental anyon types. We propose a concrete physical realization by utilizing quantum phase slips in an array of Josephson-coupled mesoscopic topological superconductors, which can be implemented in a wide range of solid-state systems, including topological insulators, nanowires, or two-dimensional electron gases, proximitized by s-wave superconductors. Our model finds a natural application as a Majorana fermion surface code for universal quantum computation, with a single-step stabilizer measurement requiring no physical ancilla qubits, increased error tolerance, and simpler logical gates than a surface code with bosonic physical qubits. We thoroughly discuss protocols for stabilizer measurements, encoding and manipulating logical qubits, and gate implementations.
Date issued
2015-12Department
Massachusetts Institute of Technology. Department of PhysicsJournal
Physical Review X
Publisher
American Physical Society
Citation
Vijay, Sagar, Timothy H. Hsieh, and Liang Fu. "Majorana Fermion Surface Code for Universal Quantum Computation." Phys. Rev. X 5, 041038 (December 2015).
Version: Final published version
ISSN
2160-3308