Majorana Fermion Surface Code for Universal Quantum Computation
Name
PhysRevX.5.041038.pdf
Size
1.1 MB
Format
Adobe PDF
Checksum (MD5)
e3b111e98e6d0d9097166332072a3300
Author(s)
Hsieh, Timothy H.
Fu, Liang
Vijay, Ksheerasagar
Date Issued
December 2015
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevX.5.041038
