Topological quantum computation based on chiral Majorana fermions

Lian, Biao; Sun, Xiao -Qi; Vaezi, Abolhassan; Qi, Xiao -Liang; Zhang, Shou -Cheng

doi:10.1073/pnas.1810003115

Title: Topological quantum computation based on chiral Majorana fermions

Abstract

Here, the chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain 2D topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of a quantum anomalous Hall insulator and a conventional superconductor. Its closely related cousin, the Majorana zero mode in the bulk of the corresponding topological matter, is known to be applicable in topological quantum computations. Here we show that the propagation of chiral Majorana fermions leads to the same unitary transformation as that in the braiding of Majorana zero modes and propose a platform to perform quantum computation with chiral Majorana fermions. A Corbino ring junction of the hybrid device can use quantum coherent chiral Majorana fermions to implement the Hadamard gate and the phase gate, and the junction conductance yields a natural readout for the qubit state.

Authors:

Lian, Biao ^[1]; Sun, Xiao -Qi ^[2]; Vaezi, Abolhassan ^[2]; Qi, Xiao -Liang ^[3]; Zhang, Shou -Cheng ^[2]

Princeton Univ., Princeton, NJ (United States); Stanford Univ., Stanford, CA (United States)
Stanford Univ., Stanford, CA (United States)
Stanford Univ., Stanford, CA (United States); Institute for Advanced Study, Princeton, NJ (United States)

Publication Date:: Mon Oct 08 00:00:00 EDT 2018

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1490636

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Proceedings of the National Academy of Sciences of the United States of America

Additional Journal Information:: Journal Volume: 115; Journal Issue: 43; Journal ID: ISSN 0027-8424

Publisher:: National Academy of Sciences, Washington, DC (United States)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum computing; topological; Majorana

Citation Formats


                    Lian, Biao, Sun, Xiao -Qi, Vaezi, Abolhassan, Qi, Xiao -Liang, and Zhang, Shou -Cheng. Topological quantum computation based on chiral Majorana fermions.  United States: N. p., 2018. 
Web.  doi:10.1073/pnas.1810003115.

Copy to clipboard


                    Lian, Biao, Sun, Xiao -Qi, Vaezi, Abolhassan, Qi, Xiao -Liang, & Zhang, Shou -Cheng. Topological quantum computation based on chiral Majorana fermions.  United States.  https://doi.org/10.1073/pnas.1810003115

Copy to clipboard


                    Lian, Biao, Sun, Xiao -Qi, Vaezi, Abolhassan, Qi, Xiao -Liang, and Zhang, Shou -Cheng. Mon .  
"Topological quantum computation based on chiral Majorana fermions".  United States.  https://doi.org/10.1073/pnas.1810003115.  https://www.osti.gov/servlets/purl/1490636.

Copy to clipboard


                    
@article{osti_1490636,

  title        = {Topological quantum computation based on chiral Majorana fermions},

  author       = {Lian, Biao and Sun, Xiao -Qi and Vaezi, Abolhassan and Qi, Xiao -Liang and Zhang, Shou -Cheng},

  abstractNote = {Here, the chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain 2D topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of a quantum anomalous Hall insulator and a conventional superconductor. Its closely related cousin, the Majorana zero mode in the bulk of the corresponding topological matter, is known to be applicable in topological quantum computations. Here we show that the propagation of chiral Majorana fermions leads to the same unitary transformation as that in the braiding of Majorana zero modes and propose a platform to perform quantum computation with chiral Majorana fermions. A Corbino ring junction of the hybrid device can use quantum coherent chiral Majorana fermions to implement the Hadamard gate and the phase gate, and the junction conductance yields a natural readout for the qubit state.},

  doi          = {10.1073/pnas.1810003115},

  journal      = {Proceedings of the National Academy of Sciences of the United States of America},

  number       = 43,

  volume       = 115,

  place        = {United States},

  year         = {Mon Oct 08 00:00:00 EDT 2018},

  month        = {Mon Oct 08 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1073/pnas.1810003115

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 146 works

Citation information provided by
Web of Science

Figures / Tables:

Figure 1: (A) The braiding of vortices in $p$ + $ip$ TSC. Each two vortices support two states of a single fermion, and the braiding leads to a non-Abelian operation and maps a product state of vortices 12 and 34 into an entangled state, as a consequence of exchanging MZMsmore »

All figures and tables (8 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Fault-tolerant quantum computation by anyons
text, January 1997

Kitaev, A. Yu.
arXiv
DOI: 10.48550/arxiv.quant-ph/9707021

Chiral topological superconductor from the quantum Hall state
journal, November 2010

Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng
Physical Review B, Vol. 82, Issue 18
DOI: 10.1103/PhysRevB.82.184516

Electrically detected interferometry of Majorana fermions in a topological insulator
text, January 2009

Akhmerov, A. R.; Nilsson, Johan; Beenakker, C. W. J.
arXiv
DOI: 10.48550/arxiv.0903.2196

Topological insulators and superconductors
journal, October 2011

Qi, Xiao-Liang; Zhang, Shou-Cheng
Reviews of Modern Physics, Vol. 83, Issue 4
DOI: 10.1103/RevModPhys.83.1057

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
journal, August 2015

Wang, Jing; Zhou, Quan; Lian, Biao
Physical Review B, Vol. 92, Issue 6
DOI: 10.1103/PhysRevB.92.064520

Building logical qubits in a superconducting quantum computing system
journal, January 2017

Gambetta, Jay M.; Chow, Jerry M.; Steffen, Matthias
npj Quantum Information, Vol. 3, Issue 1
DOI: 10.1038/s41534-016-0004-0

An On-Demand Coherent Single-Electron Source
journal, May 2007

Feve, G.; Mahe, A.; Berroir, J. -M.
Science, Vol. 316, Issue 5828
DOI: 10.1126/science.1141243

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010

Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S.
Physical Review Letters, Vol. 105, Issue 7
DOI: 10.1103/PhysRevLett.105.077001

Universal quantum computation with ideal Clifford gates and noisy ancillas
journal, February 2005

Bravyi, Sergey; Kitaev, Alexei
Physical Review A, Vol. 71, Issue 2
DOI: 10.1103/PhysRevA.71.022316

Non-Abelian Anyons and Topological Quantum Computation
text, January 2007

Nayak, Chetan; Simon, Steven H.; Stern, Ady
arXiv
DOI: 10.48550/arxiv.0707.1889

Universal Quantum Computation with ideal Clifford gates and noisy ancillas
text, January 2004

Bravyi, Sergei; Kitaev, Alexei
arXiv
DOI: 10.48550/arxiv.quant-ph/0403025

New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012

Alicea, Jason
Reports on Progress in Physics, Vol. 75, Issue 7
DOI: 10.1088/0034-4885/75/7/076501

Chiral Majorana fermion modes in a quantum anomalous Hall insulator–superconductor structure
journal, July 2017

He, Qing Lin; Pan, Lei; Stern, Alexander L.
Science, Vol. 357, Issue 6348
DOI: 10.1126/science.aag2792

Implementing Arbitrary Phase Gates with Ising Anyons
journal, May 2010

Bonderson, Parsa; Clarke, David J.; Nayak, Chetan
Physical Review Letters, Vol. 104, Issue 18
DOI: 10.1103/PhysRevLett.104.180505

Electrically Detected Interferometry of Majorana Fermions in a Topological Insulator
journal, May 2009

Akhmerov, A. R.; Nilsson, Johan; Beenakker, C. W. J.
Physical Review Letters, Vol. 102, Issue 21
DOI: 10.1103/PhysRevLett.102.216404

Unpaired Majorana fermions in quantum wires
journal, October 2001

Kitaev, A. Yu
Physics-Uspekhi, Vol. 44, Issue 10S
DOI: 10.1070/1063-7869/44/10S/S29

Anyons in an exactly solved model and beyond
text, January 2005

Kitaev, Alexei
arXiv
DOI: 10.48550/arxiv.cond-mat/0506438

Non-Abelian statistics and topological quantum information processing in 1D wire networks
journal, February 2011

Alicea, Jason; Oreg, Yuval; Refael, Gil
Nature Physics, Vol. 7, Issue 5
DOI: 10.1038/nphys1915

Interferometric and Noise Signatures of Majorana Fermion Edge States in Transport Experiments
journal, September 2011

Strübi, Grégory; Belzig, Wolfgang; Choi, Mahn-Soo
Physical Review Letters, Vol. 107, Issue 13
DOI: 10.1103/PhysRevLett.107.136403

An On-Demand Coherent Single Electron Source
text, January 2007

Fève, Gwendal; Mahé, Adrien; Berroir, Jean-Marc
arXiv
DOI: 10.48550/arxiv.0705.4394

Milestones toward Majorana-based quantum computing
text, January 2015

Aasen, David; Hell, Michael; Mishmash, Ryan V.
arXiv
DOI: 10.48550/arxiv.1511.05153

Probing Neutral Majorana Fermion Edge Modes with Charge Transport
text, January 2009

Fu, Liang; Kane, C. L.
arXiv
DOI: 10.48550/arxiv.0903.2427

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
text, January 2010

Lutchyn, Roman M.; Sau, Jay D.; Sarma, S. Das
arXiv
DOI: 10.48550/arxiv.1002.4033

Nonabelions in the fractional quantum hall effect
journal, August 1991

Moore, Gregory; Read, Nicholas
Nuclear Physics B, Vol. 360, Issue 2-3
DOI: 10.1016/0550-3213(91)90407-O

Probing Neutral Majorana Fermion Edge Modes with Charge Transport
journal, May 2009

Fu, Liang; Kane, C. L.
Physical Review Letters, Vol. 102, Issue 21
DOI: 10.1103/PhysRevLett.102.216403

Anyons in an exactly solved model and beyond
journal, January 2006

Kitaev, Alexei
Annals of Physics, Vol. 321, Issue 1
DOI: 10.1016/j.aop.2005.10.005

Building logical qubits in a superconducting quantum computing system
text, January 2015

Gambetta, Jay M.; Chow, Jerry M.; Steffen, Matthias
arXiv
DOI: 10.48550/arxiv.1510.04375

Universal Singularities in the Integral Quantum Hall Effect
journal, September 1988

Pruisken, A. M. M.
Physical Review Letters, Vol. 61, Issue 11
DOI: 10.1103/PhysRevLett.61.1297

Theory of non-Abelian Fabry-Perot interferometry in topological insulators
text, January 2009

Nilsson, Johan; Akhmerov, A. R.
arXiv
DOI: 10.48550/arxiv.0912.4716

Implementing arbitrary phase gates with Ising anyons
text, January 2009

Bonderson, Parsa; Clarke, David J.; Nayak, Chetan
arXiv
DOI: 10.48550/arxiv.0911.2691

Model Hamiltonian for topological insulators
journal, July 2010

Liu, Chao-Xing; Qi, Xiao-Liang; Zhang, HaiJun
Physical Review B, Vol. 82, Issue 4
DOI: 10.1103/PhysRevB.82.045122

Non-Abelian Statistics of Half-Quantum Vortices in $p$ -Wave Superconductors
journal, January 2001

Ivanov, D. A.
Physical Review Letters, Vol. 86, Issue 2
DOI: 10.1103/PhysRevLett.86.268

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
journal, March 2013

Chang, C. -Z.; Zhang, J.; Feng, X.
Science, Vol. 340, Issue 6129
DOI: 10.1126/science.1234414

Quantum Anomalous Hall Effect in ${Hg}_{1 - y} {Mn}_{y} Te$ Quantum Wells
journal, October 2008

Liu, Chao-Xing; Qi, Xiao-Liang; Dai, Xi
Physical Review Letters, Vol. 101, Issue 14
DOI: 10.1103/PhysRevLett.101.146802

Quantum computing with trapped ions
conference, January 1999

Monroe, C.; Itano, W. M.; Kielpinski, D.
Technical Digest. Summaries of papers presented at the Quantum Electronics and Laser Science Conference
DOI: 10.1109/qels.1999.807080

Non-abelian statistics of half-quantum vortices in p-wave superconductors
text, January 2000

Ivanov, D. A.
arXiv
DOI: 10.48550/arxiv.cond-mat/0005069

Theory of non-Abelian Fabry-Perot interferometry in topological insulators
journal, May 2010

Nilsson, Johan; Akhmerov, A. R.
Physical Review B, Vol. 81, Issue 20
DOI: 10.1103/PhysRevB.81.205110

Milestones Toward Majorana-Based Quantum Computing
journal, August 2016

Aasen, David; Hell, Michael; Mishmash, Ryan V.
Physical Review X, Vol. 6, Issue 3
DOI: 10.1103/PhysRevX.6.031016

Quantum computing with trapped ions
journal, December 2008

Haffner, H.; Roos, C.; Blatt, R.
Physics Reports, Vol. 469, Issue 4
DOI: 10.1016/j.physrep.2008.09.003

Quantum computing with trapped ions
text, January 2008

Haeffner, H.; Roos, C. F.; Blatt, R.
arXiv
DOI: 10.48550/arxiv.0809.4368

Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes
journal, June 2017

Karzig, Torsten; Knapp, Christina; Lutchyn, Roman M.
Physical Review B, Vol. 95, Issue 23
DOI: 10.1103/PhysRevB.95.235305

Non-Abelian anyons and topological quantum computation
journal, September 2008

Nayak, Chetan; Simon, Steven H.; Stern, Ady
Reviews of Modern Physics, Vol. 80, Issue 3
DOI: 10.1103/RevModPhys.80.1083

Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000

Read, N.; Green, Dmitry
Physical Review B, Vol. 61, Issue 15
DOI: 10.1103/PhysRevB.61.10267

Fault-tolerant quantum computation by anyons
journal, January 2003

Kitaev, A. Yu.
Annals of Physics, Vol. 303, Issue 1
DOI: 10.1016/S0003-4916(02)00018-0

Conductance and noise signatures of Majorana backscattering
journal, March 2011

Chung, Suk Bum; Qi, Xiao-Liang; Maciejko, Joseph
Physical Review B, Vol. 83, Issue 10
DOI: 10.1103/PhysRevB.83.100512

Quantized Anomalous Hall Effect in Magnetic Topological Insulators
journal, June 2010

Yu, R.; Zhang, W.; Zhang, H. -J.
Science, Vol. 329, Issue 5987
DOI: 10.1126/science.1187485

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
text, January 2016

Chang, Cui-Zu; Zhang, Jinsong; Feng, Xiao
arXiv
DOI: 10.48550/arxiv.1605.08829

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
text, January 2015

Wang, Jing; Zhou, Quan; Lian, Biao
arXiv
DOI: 10.48550/arxiv.1507.00788

Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect
journal, August 2018

Fox, E. J.; Rosen, I. T.; Yang, Yanfei
Physical Review B, Vol. 98, Issue 7
DOI: 10.1103/PhysRevB.98.075145

Works referencing / citing this record:

Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
journal, January 2019

Beenakker, Carlo; Grabsch, Aurélien; Herasymenko, Yaroslav
SciPost Physics, Vol. 6, Issue 2
DOI: 10.21468/scipostphys.6.2.022

Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator–topological superconductor systems
journal, December 2019

Yan, Qing; Zhou, Yan-Feng; Sun, Qing-Feng
Physical Review B, Vol. 100, Issue 23
DOI: 10.1103/physrevb.100.235407

Platform of chiral Majorana edge modes and its quantum transport phenomena
journal, November 2019

He, James Jun; Liang, Tian; Tanaka, Yukio
Communications Physics, Vol. 2, Issue 1
DOI: 10.1038/s42005-019-0250-5

Symmetry indicators for topological superconductors
text, January 2018

Ono, Seishiro; Yanase, Youichi; Watanabe, Haruki
arXiv
DOI: 10.48550/arxiv.1811.08712

2D materials for quantum information science
journal, August 2019

Liu, Xiaolong; Hersam, Mark C.
Nature Reviews Materials, Vol. 4, Issue 10
DOI: 10.1038/s41578-019-0136-x

Complex band-structure analysis and topological physics of Majorana nanowires
journal, May 2019

Osca, Javier; Serra, Llorenç
The European Physical Journal B, Vol. 92, Issue 5
DOI: 10.1140/epjb/e2019-100011-2

Intrinsic quantized anomalous Hall effect in a moiré heterostructure
journal, December 2019

Serlin, M.; Tschirhart, C. L.; Polshyn, H.
Science, Vol. 367, Issue 6480
DOI: 10.1126/science.aay5533

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
journal, July 2019

Sharpe, Aaron L.; Fox, Eli J.; Barnard, Arthur W.
Science, Vol. 365, Issue 6453
DOI: 10.1126/science.aaw3780

Time-resolved electrical detection of chiral edge vortex braiding
text, January 2019

Adagideli, I.; Hassler, F.; Grabsch, A.
arXiv
DOI: 10.48550/arxiv.1907.02422

Majorana corner flat bands in two-dimensional second-order topological superconductors
journal, March 2020

Kheirkhah, Majid; Nagai, Yuki; Chen, Chun
Physical Review B, Vol. 101, Issue 10
DOI: 10.1103/physrevb.101.104502

Time-resolved electrical detection of chiral edge vortex braiding
journal, January 2020

Adagideli, Inanc; Hassler, Fabian; Grabsch, Aurélien
SciPost Physics, Vol. 8, Issue 1
DOI: 10.21468/scipostphys.8.1.013

Deterministic Creation and Braiding of Chiral Edge Vortices
journal, April 2019

Beenakker, C. W. J.; Baireuther, P.; Herasymenko, Y.
Physical Review Letters, Vol. 122, Issue 14
DOI: 10.1103/physrevlett.122.146803

Magnetic topological insulators
journal, January 2019

Tokura, Yoshinori; Yasuda, Kenji; Tsukazaki, Atsushi
Nature Reviews Physics, Vol. 1, Issue 2
DOI: 10.1038/s42254-018-0011-5

Interference of chiral Andreev edge states
journal, May 2020

Zhao, Lingfei; Arnault, Ethan G.; Bondarev, Alexey
Nature Physics
DOI: 10.1038/s41567-020-0898-5

In-plane magnetic-field-induced quantum anomalous Hall plateau transition
journal, October 2019

Zhang, Jinlong; Liu, Zhaochen; Wang, Jing
Physical Review B, Vol. 100, Issue 16
DOI: 10.1103/physrevb.100.165117

Topological insulator: Spintronics and quantum computations
journal, May 2019

He, Mengyun; Sun, Huimin; He, Qing Lin
Frontiers of Physics, Vol. 14, Issue 4
DOI: 10.1007/s11467-019-0893-4

Magnetic orbital motion and 0.5 e ² / h conductance of quantum-anomalous-Hall hybrid strips
journal, April 2019

Osca, Javier; Serra, Llorenç
Applied Physics Letters, Vol. 114, Issue 13
DOI: 10.1063/1.5089546

Universal optical control of chiral superconductors and Majorana modes
journal, May 2019

Claassen, M.; Kennes, D. M.; Zingl, M.
Nature Physics, Vol. 15, Issue 8
DOI: 10.1038/s41567-019-0532-6

Band structure engineering in 3D topological insulators
journal, March 2019

Plucinski, L.
Journal of Physics: Condensed Matter, Vol. 31, Issue 18
DOI: 10.1088/1361-648x/ab052c

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Universal topological quantum computation with strongly correlated Majorana edge modes

Journal Article Zhan, Ye-Min ; Chen, Yu-Ge ; Chen, Bin ; ... - New Journal of Physics

Abstract Majorana-based quantum gates are not complete for performing universal topological quantum computation while Fibonacci-based gates are difficult to be realized electronically and hardly coincide with the conventional quantum circuit models. In reference Hu and Kane (2018 Phys. Rev. Lett. 120 066801), it has been shown that a strongly correlated Majorana edge mode in a chiral topological superconductor can be decomposed into a Fibonacci anyon τ and a thermal operator anyon ɛ in the tricritical Ising model. The deconfinement of τ and ɛ via the interaction between the fermion modes yields the anyon collisions and gives the braiding of eithermore »« less
https://doi.org/10.1088/1367-2630/ac5f87
SWAP Gate between a Majorana Qubit and a Parity-Protected Superconducting Qubit

Journal Article Chirolli, Luca ; Yao, Norman Y. ; Moore, Joel E. - Physical Review Letters

High fidelity quantum information processing requires a combination of fast gates and long-lived quantum memories. Here, in this Letter, we propose a hybrid architecture, where a parity-protected superconducting qubit is directly coupled to a Majorana qubit, which plays the role of a quantum memory. The superconducting qubit is based upon a π-periodic Josephson junction realized with gate-tunable semiconducting wires, where the tunneling of individual Cooper pairs is suppressed. One of the wires additionally contains four Majorana zero modes that define a qubit. We demonstrate that this enables the implementation of a SWAP gate, allowing for the transduction of quantum informationmore »« less
https://doi.org/10.1103/physrevlett.129.177701

Full Text Available
Majorana zero modes in impurity-assisted vortex of LiFeAs superconductor

Journal Article Kong, Lingyuan ; Cao, Lu ; Zhu, Shiyu ; ... - Nature Communications

The iron-based superconductor is emerging as a promising platform for Majorana zero mode, which can be used to implement topological quantum computation. One of the most significant advances of this platform is the appearance of large vortex level spacing that strongly protects Majorana zero mode from other low-lying quasiparticles. Despite the advantages in the context of physics research, the inhomogeneity of various aspects hampers the practical construction of topological qubits in the compounds studied so far. Here we show that the stoichiometric superconductor LiFeAs is a good candidate to overcome this obstacle. By using scanning tunneling microscopy, we discover thatmore »« less
https://doi.org/10.1038/s41467-021-24372-6

Full Text Available
Search for Majorana fermions in topological superconductors.

Technical Report Pan, Wei ; Shi, Xiaoyan ; Hawkins, Samuel D. ; ...

The goal of this project is to search for Majorana fermions (a new quantum particle) in a topological superconductor (a new quantum matter achieved in a topological insulator proximitized by an s-wave superconductor). Majorana fermions (MFs) are electron-like particles that are their own anti-particles. MFs are shown to obey non-Abelian statistics and, thus, can be harnessed to make a fault-resistant topological quantum computer. With the arrival of topological insulators, novel schemes to create MFs have been proposed in hybrid systems by combining a topological insulator with a conventional superconductor. In this LDRD project, we will follow the theoretical proposals tomore »« less
https://doi.org/10.2172/1177084

Full Text Available
Engineering topologically protected superconducting states

Technical Report Rokhinson, Leonid

Efforts to develop systems which support non-Abelian excitations are motivated by both scientific curiosity and a practical desire to built a fault tolerant quantum computer to solve problems fundamentally intractable for classical computations. Experimentally, signatures of simplest non-Abelian excitations have been seen in spectroscopic measurements, yet current experiments fall shot of demonstrating non-Abelian exchange statistics. With DOE support we explore several systems where non-Abelian excitations are expected to appear, with special attention paid to the ability to demonstrate braiding. In nanowire semiconductor/superconductor hybrid system we are developing devices where position of Majorana particles, the simplest non-Abelian excitations, can be variedmore »« less
https://doi.org/10.2172/1865856

Full Text Available

Similar Records

Title: Topological quantum computation based on chiral Majorana fermions

Abstract

Citation Formats

Figures / Tables:

Fault-tolerant quantum computation by anyons text, January 1997

Chiral topological superconductor from the quantum Hall state journal, November 2010

Electrically detected interferometry of Majorana fermions in a topological insulator text, January 2009

Topological insulators and superconductors journal, October 2011

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition journal, August 2015

Building logical qubits in a superconducting quantum computing system journal, January 2017

An On-Demand Coherent Single-Electron Source journal, May 2007

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures journal, August 2010

Universal quantum computation with ideal Clifford gates and noisy ancillas journal, February 2005

Non-Abelian Anyons and Topological Quantum Computation text, January 2007

Universal Quantum Computation with ideal Clifford gates and noisy ancillas text, January 2004

New directions in the pursuit of Majorana fermions in solid state systems journal, June 2012

Chiral Majorana fermion modes in a quantum anomalous Hall insulator–superconductor structure journal, July 2017

Implementing Arbitrary Phase Gates with Ising Anyons journal, May 2010

Electrically Detected Interferometry of Majorana Fermions in a Topological Insulator journal, May 2009

Unpaired Majorana fermions in quantum wires journal, October 2001

Anyons in an exactly solved model and beyond text, January 2005

Non-Abelian statistics and topological quantum information processing in 1D wire networks journal, February 2011

Interferometric and Noise Signatures of Majorana Fermion Edge States in Transport Experiments journal, September 2011

An On-Demand Coherent Single Electron Source text, January 2007

Milestones toward Majorana-based quantum computing text, January 2015

Probing Neutral Majorana Fermion Edge Modes with Charge Transport text, January 2009

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures text, January 2010

Nonabelions in the fractional quantum hall effect journal, August 1991

Probing Neutral Majorana Fermion Edge Modes with Charge Transport journal, May 2009

Anyons in an exactly solved model and beyond journal, January 2006

Building logical qubits in a superconducting quantum computing system text, January 2015

Universal Singularities in the Integral Quantum Hall Effect journal, September 1988

Theory of non-Abelian Fabry-Perot interferometry in topological insulators text, January 2009

Implementing arbitrary phase gates with Ising anyons text, January 2009

Model Hamiltonian for topological insulators journal, July 2010

Non-Abelian Statistics of Half-Quantum Vortices in p -Wave Superconductors journal, January 2001

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal, March 2013

Quantum Anomalous Hall Effect in Hg 1 − y Mn y Te Quantum Wells journal, October 2008

Quantum computing with trapped ions conference, January 1999

Non-abelian statistics of half-quantum vortices in p-wave superconductors text, January 2000

Theory of non-Abelian Fabry-Perot interferometry in topological insulators journal, May 2010

Milestones Toward Majorana-Based Quantum Computing journal, August 2016

Quantum computing with trapped ions journal, December 2008

Quantum computing with trapped ions text, January 2008

Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes journal, June 2017

Non-Abelian anyons and topological quantum computation journal, September 2008

Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect journal, April 2000

Fault-tolerant quantum computation by anyons journal, January 2003

Conductance and noise signatures of Majorana backscattering journal, March 2011

Quantized Anomalous Hall Effect in Magnetic Topological Insulators journal, June 2010

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator text, January 2016

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition text, January 2015

Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect journal, August 2018

Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor journal, January 2019

Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator–topological superconductor systems journal, December 2019

Platform of chiral Majorana edge modes and its quantum transport phenomena journal, November 2019

Symmetry indicators for topological superconductors text, January 2018

2D materials for quantum information science journal, August 2019

Complex band-structure analysis and topological physics of Majorana nanowires journal, May 2019

Intrinsic quantized anomalous Hall effect in a moiré heterostructure journal, December 2019

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal, July 2019

Time-resolved electrical detection of chiral edge vortex braiding text, January 2019

Majorana corner flat bands in two-dimensional second-order topological superconductors journal, March 2020

Time-resolved electrical detection of chiral edge vortex braiding journal, January 2020

Deterministic Creation and Braiding of Chiral Edge Vortices journal, April 2019

Magnetic topological insulators journal, January 2019

Interference of chiral Andreev edge states journal, May 2020

In-plane magnetic-field-induced quantum anomalous Hall plateau transition journal, October 2019

Topological insulator: Spintronics and quantum computations journal, May 2019

Magnetic orbital motion and 0.5 e 2 / h conductance of quantum-anomalous-Hall hybrid strips journal, April 2019

Universal optical control of chiral superconductors and Majorana modes journal, May 2019

Band structure engineering in 3D topological insulators journal, March 2019

Fault-tolerant quantum computation by anyons
text, January 1997

Chiral topological superconductor from the quantum Hall state
journal, November 2010

Electrically detected interferometry of Majorana fermions in a topological insulator
text, January 2009

Topological insulators and superconductors
journal, October 2011

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
journal, August 2015

Building logical qubits in a superconducting quantum computing system
journal, January 2017

An On-Demand Coherent Single-Electron Source
journal, May 2007

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010

Universal quantum computation with ideal Clifford gates and noisy ancillas
journal, February 2005

Non-Abelian Anyons and Topological Quantum Computation
text, January 2007

Universal Quantum Computation with ideal Clifford gates and noisy ancillas
text, January 2004

New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012

Chiral Majorana fermion modes in a quantum anomalous Hall insulator–superconductor structure
journal, July 2017

Implementing Arbitrary Phase Gates with Ising Anyons
journal, May 2010

Electrically Detected Interferometry of Majorana Fermions in a Topological Insulator
journal, May 2009

Unpaired Majorana fermions in quantum wires
journal, October 2001

Anyons in an exactly solved model and beyond
text, January 2005

Non-Abelian statistics and topological quantum information processing in 1D wire networks
journal, February 2011

Interferometric and Noise Signatures of Majorana Fermion Edge States in Transport Experiments
journal, September 2011

An On-Demand Coherent Single Electron Source
text, January 2007

Milestones toward Majorana-based quantum computing
text, January 2015

Probing Neutral Majorana Fermion Edge Modes with Charge Transport
text, January 2009

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
text, January 2010

Nonabelions in the fractional quantum hall effect
journal, August 1991

Probing Neutral Majorana Fermion Edge Modes with Charge Transport
journal, May 2009

Anyons in an exactly solved model and beyond
journal, January 2006

Building logical qubits in a superconducting quantum computing system
text, January 2015

Universal Singularities in the Integral Quantum Hall Effect
journal, September 1988

Theory of non-Abelian Fabry-Perot interferometry in topological insulators
text, January 2009

Implementing arbitrary phase gates with Ising anyons
text, January 2009

Model Hamiltonian for topological insulators
journal, July 2010

Non-Abelian Statistics of Half-Quantum Vortices in $p$ -Wave Superconductors
journal, January 2001

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
journal, March 2013

Quantum Anomalous Hall Effect in ${Hg}_{1 - y} {Mn}_{y} Te$ Quantum Wells
journal, October 2008

Quantum computing with trapped ions
conference, January 1999

Non-abelian statistics of half-quantum vortices in p-wave superconductors
text, January 2000

Theory of non-Abelian Fabry-Perot interferometry in topological insulators
journal, May 2010

Milestones Toward Majorana-Based Quantum Computing
journal, August 2016

Quantum computing with trapped ions
journal, December 2008

Quantum computing with trapped ions
text, January 2008

Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes
journal, June 2017

Non-Abelian anyons and topological quantum computation
journal, September 2008

Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000

Fault-tolerant quantum computation by anyons
journal, January 2003

Conductance and noise signatures of Majorana backscattering
journal, March 2011

Quantized Anomalous Hall Effect in Magnetic Topological Insulators
journal, June 2010

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
text, January 2016

Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
text, January 2015

Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect
journal, August 2018

Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
journal, January 2019

Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator–topological superconductor systems
journal, December 2019

Platform of chiral Majorana edge modes and its quantum transport phenomena
journal, November 2019

Symmetry indicators for topological superconductors
text, January 2018

2D materials for quantum information science
journal, August 2019

Complex band-structure analysis and topological physics of Majorana nanowires
journal, May 2019

Intrinsic quantized anomalous Hall effect in a moiré heterostructure
journal, December 2019

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
journal, July 2019

Time-resolved electrical detection of chiral edge vortex braiding
text, January 2019

Majorana corner flat bands in two-dimensional second-order topological superconductors
journal, March 2020

Time-resolved electrical detection of chiral edge vortex braiding
journal, January 2020

Deterministic Creation and Braiding of Chiral Edge Vortices
journal, April 2019

Magnetic topological insulators
journal, January 2019

Interference of chiral Andreev edge states
journal, May 2020

In-plane magnetic-field-induced quantum anomalous Hall plateau transition
journal, October 2019

Topological insulator: Spintronics and quantum computations
journal, May 2019

Magnetic orbital motion and 0.5 e ² / h conductance of quantum-anomalous-Hall hybrid strips
journal, April 2019

Universal optical control of chiral superconductors and Majorana modes
journal, May 2019

Band structure engineering in 3D topological insulators
journal, March 2019