Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation
Author(s)Vijay, Sagar; Fu, Liang
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We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing Z2topological order, using an array of Josephson-coupled topological superconductor islands. The required multi-body interaction Hamiltonian is naturally generated by a combination of charging energy induced quantum phase-slips on the superconducting islands and electron tunneling between islands. Our setup improves on a recent proposal for implementing a Majorana fermion surface code (Vijay et al 2015 Phys. Rev. X 5 041038), a 'hybrid' approach to fault-tolerant quantum computation that combines (1) the engineering of a stabilizer Hamiltonian with a topologically ordered ground state with (2) projective stabilizer measurements to implement error correction and a universal set of logical gates. Our hybrid strategy has advantages over the traditional surface code architecture in error suppression and single-step stabilizer measurements, and is widely applicable to implementing stabilizer codes for quantum computation.
DepartmentMassachusetts Institute of Technology. Department of Physics
Vijay, Sagar, and Liang Fu. “Physical Implementation of a Majorana Fermion Surface Code for Fault-Tolerant Quantum Computation.” Physica Scripta T168 (January 25, 2016): 014002.