Majorana Fermion Surface Code for Universal Quantum Computation

Vijay, Sagar; Hsieh, Timothy H.; Fu, Liang

doi:10.1103/PhysRevX.5.041038

Title: Majorana Fermion Surface Code for Universal Quantum Computation

Journal Article · Thu Dec 10 00:00:00 EST 2015 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.5.041038· OSTI ID:1228798

Vijay, Sagar; Hsieh, Timothy H.; Fu, Liang

In this study, we introduce an exactly solvable model of interacting Majorana fermions realizing Z₂ topological order with a Z₂ 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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0010526

OSTI ID:: 1228798

Alternate ID(s):: OSTI ID: 1240141

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Vol. 5 Journal Issue: 4; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 96 works

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