Majorana Fermion Surface Code for Universal Quantum Computation

作者：Vijay Sagar^*; Hsieh Timothy H; Fu Liang

来源：Physical Review X, 2015, 5(4): 041038.

DOI：10.1103/PhysRevX.5.041038

We introduce an exactly solvable model of interacting Majorana fermions realizing Z(2) topological order with a Z(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.

• 出版日期2015-12-10
• 单位MIT