[3] A. Y. Kitaev. Unpaired majorana fermions in quan-
tum wires. Phys. Usp., 44:131, October 2001. DOI:
10.1070/1063-7869/44/10S/S29.
[4] R. M. Lutchyn, J. D. Sau, and S. Das Sarma. Ma-
jorana Fermions and a Topological Phase Transi-
tion in Semiconductor-Superconductor Heterostruc-
tures. Phys. Rev. Lett., 105(7):077001, August 2010.
DOI: 10.1103/PhysRevLett.105.077001.
[5] Y. Oreg, G. Refael, and F. von Oppen. Helical Liq-
uids and Majorana Bound States in Quantum Wires.
Phys. Rev. Lett., 105(17):177002, October 2010. DOI:
10.1103/PhysRevLett.105.177002.
[6] V. Mourik, K. Zuo, S. M. Frolov, S. R. Plissard,
E. P. A. M. Bakkers, and L. P. Kouwenhoven. Signa-
tures of Majorana fermions in hybrid superconductor-
semiconductor nanowire devices. Science, 336:1003,
2012. DOI: 10.1126/science.1222360.
[7] L. P. Rokhinson, X. Liu, and J. K. Furdyna. The
fractional a.c. Josephson effect in a semiconductor-
superconductor nanowire as a signature of Majorana
particles. Nat. Phys., 8:795, 2012. ISSN 1745-2473.
DOI: 10.1038/nphys2429.
[8] M. T. Deng, C. L. Yu, G. Y. Huang, M. Lars-
son, P. Caroff, and H. Q. Xu. Anomalous zero-
bias conductance peak in a nb–insb nanowire–nb hy-
brid device. Nano Lett., 12(12):6414, 2012. DOI:
10.1021/nl303758w.
[9] A. Das, Y. Ronen, Y. Most, Y. Oreg, M. Heiblum, and
H. Shtrikman. Zero-bias peaks and splitting in an Al-
InAs nanowire topological superconductor as a signa-
ture of Majorana fermions. Nat. Phys., 8:887, 2012.
DOI: 10.1038/nphys2479.
[10] A. D. K. Finck, D. J. Van Harlingen, P. K. Mohseni,
K. Jung, and X. Li. Anomalous Modulation of a Zero-
Bias Peak in a Hybrid Nanowire-Superconductor De-
vice. Phys. Rev. Lett., 110:126406, Mar 2013. DOI:
10.1103/PhysRevLett.110.126406.
[11] H. O. H. Churchill, V. Fatemi, K. Grove-Rasmussen,
M. T. Deng, P. Caroff, H. Q. Xu, and C. M. Mar-
cus. Superconductor-nanowire devices from tunnel-
ing to the multichannel regime: Zero-bias oscilla-
tions and magnetoconductance crossover. Phys. Rev.
B, 87(24):241401, June 2013. DOI: 10.1103/Phys-
RevB.87.241401.
[12] S. M. Albrecht, A. P. Higginbotham, M. Madsen,
F. Kuemmeth, T. S. Jespersen, J. Nyg
˚
ard, P. Krogstrup,
and C. M. Marcus. Exponential protection of zero
modes in Majorana islands. Nature, 531:206, March
2016. DOI: 10.1038/nature17162.
[13] M. T. Deng, S. Vaitieknas, E. B. Hansen, J. Danon,
M. Leijnse, K. Flensberg, J. Nygrd, P. Krogstrup, and
C. M. Marcus. Majorana bound state in a coupled
quantum-dot hybrid-nanowire system. Science, 354
(6319):1557, December 2016. ISSN 0036-8075, 1095-
9203. DOI: 10.1126/science.aaf3961.
[14] R. M. Lutchyn, E. P. a. M. Bakkers, L. P. Kouwen-
hoven, P. Krogstrup, C. M. Marcus, and Y. Oreg. Ma-
jorana zero modes in superconductor–semiconductor
heterostructures. Nat. Rev. Mater., 3(5):52, May 2018.
ISSN 2058-8437. DOI: 10.1038/s41578-018-0003-1.
[15] L. A. Landau, S. Plugge, E. Sela, A. Altland, S. M.
Albrecht, and R. Egger. Towards Realistic Implemen-
tations of a Majorana Surface Code. Phys. Rev. Lett.,
116(5):050501, February 2016. DOI: 10.1103/Phys-
RevLett.116.050501.
[16] G. Goldstein and C. Chamon. Decay rates for topo-
logical memories encoded with Majorana fermions.
Phys. Rev. B, 84(20):205109, November 2011. DOI:
10.1103/PhysRevB.84.205109.
[17] Jan Carl Budich, Stefan Walter, and Bjrn Trauzettel.
Failure of protection of Majorana based qubits against
decoherence. Phys. Rev. B, 85(12):121405, March
2012. DOI: 10.1103/PhysRevB.85.121405.
[18] Diego Rainis and Daniel Loss. Majorana qubit de-
coherence by quasiparticle poisoning. Phys. Rev.
B, 85(17):174533, May 2012. DOI: 10.1103/Phys-
RevB.85.174533.
[19] L. Mazza, M. Rizzi, M. D. Lukin, and J. I. Cirac. Ro-
bustness of quantum memories based on Majorana zero
modes. Phys. Rev. B, 88(20):205142, 2013. DOI:
10.1103/PhysRevB.88.205142.
[20] Ying Hu, Zi Cai, Mikhail A. Baranov, and Peter
Zoller. Majorana fermions in noisy Kitaev wires. Phys.
Rev. B, 92(16):165118, 2015. DOI: 10.1103/Phys-
RevB.92.165118.
[21] Fabio L. Pedrocchi, N. E. Bonesteel, and David P. Di-
Vincenzo. Monte Carlo studies of the self-correcting
properties of the Majorana quantum error correction
code under braiding. Phys. Rev. B, 92(11):115441,
2015. DOI: 10.1103/PhysRevB.92.115441.
[22] Matteo Ippoliti, Matteo Rizzi, Vittorio Giovannetti,
and Leonardo Mazza. Quantum memories with
zero-energy majorana modes and experimental con-
straints. Phys. Rev. A, 93:062325, Jun 2016. DOI:
10.1103/PhysRevA.93.062325.
[23] C. Knapp, T. Karzig, R. M. Lutchyn, and C. Nayak.
Dephasing of Majorana-based qubits. Phys. Rev. B,
97(12):125404, March 2018. DOI: 10.1103/Phys-
RevB.97.125404.
[24] S. Bravyi, B. M. Terhal, and B. Leemhuis. Majorana
fermion codes. New J. Phys., 12(8):083039, August
2010. DOI: 10.1088/1367-2630/12/8/083039.
[25] B. M. Terhal, F. Hassler, and D. P. DiVincenzo. From
majorana fermions to topological order. Phys. Rev.
Lett., 108:260504, Jun 2012. DOI: 10.1103/Phys-
RevLett.108.260504.
Accepted in Quantum 2018-08-21, click title to verify 34