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Title: Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation

Abstract

We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing Z 2 topological 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.

Authors:
 [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1557844
Alternate Identifier(s):
OSTI ID: 1235773
Grant/Contract Number:  
SC0010526
Resource Type:
Accepted Manuscript
Journal Name:
Physica Scripta
Additional Journal Information:
Journal Volume: T168; Journal ID: ISSN 0031-8949
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Vijay, Sagar, and Fu, Liang. Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation. United States: N. p., 2016. Web. doi:10.1088/0031-8949/T168/1/014002.
Vijay, Sagar, & Fu, Liang. Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation. United States. doi:10.1088/0031-8949/T168/1/014002.
Vijay, Sagar, and Fu, Liang. Mon . "Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation". United States. doi:10.1088/0031-8949/T168/1/014002. https://www.osti.gov/servlets/purl/1557844.
@article{osti_1557844,
title = {Physical implementation of a Majorana fermion surface code for fault-tolerant quantum computation},
author = {Vijay, Sagar and Fu, Liang},
abstractNote = {We propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing Z 2 topological 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.},
doi = {10.1088/0031-8949/T168/1/014002},
journal = {Physica Scripta},
number = ,
volume = T168,
place = {United States},
year = {2016},
month = {1}
}

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