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Teleportation-based quantum information processing with Majorana zero modes

Journal Article · · Physical Review B
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics; Kavli Institute for Theoretical Physics, Santa Barbara, CA (United States); Massachusetts Institute of Technology
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
In this work, we present a measurement-based scheme for performing braiding operations on Majorana zero modes in mesoscopic superconductor islands and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme for “braiding without braiding”, the topological qubit encoded in any pair of well-separated Majorana zero modes is read out from the transmission phase shift in electron teleportation through the island in the Coulomb-blockade regime. Finally, we propose experimental setups to measure the teleportation phase shift via conductance in an electron interferometer or persistent current in a closed loop.
Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
SC0010526
OSTI ID:
1424929
Alternate ID(s):
OSTI ID: 1338093
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 23 Vol. 94; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Selective-Area-Grown Semiconductor-Superconductor Hybrids: A Basis for Topological Networks journal October 2018
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Deterministic Creation and Braiding of Chiral Edge Vortices journal April 2019
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Quantum computation by teleportation and symmetry journal June 2019
Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor journal January 2019
Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures text January 2017
Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform text January 2017
Measurement and control of a Coulomb-blockaded parafermion box text January 2017
Epitaxy of Advanced Nanowire Quantum Devices text January 2017
Braiding by Majorana Tracking and Long-Range CNOT Gates with Color Codes text January 2017
Selective Area Grown Semiconductor-Superconductor Hybrids: A Basis for Topological Networks text January 2018
Parity transitions in the superconducting ground state of hybrid InSb-Al Coulomb islands text January 2018
Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential text January 2018
Simulating topological tensor networks with Majorana qubits text January 2018
Quantum computation by teleportation and symmetry text January 2018
Radio-frequency methods for Majorana-based quantum devices: fast charge sensing and phase diagram mapping text January 2019
Low-field topological threshold in Majorana double nanowires text January 2017

Figures / Tables (6)