|
|
All-electrically reading out and initializing topological qubits with quantum dots |
Chen Wei (陈伟)a b, Xue Zheng-Yuan (薛正远)b c, Wang Z. D.(汪子丹)b, Shen Rui (沈瑞)a |
a National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
b Department of Physics and Center of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China;
c Laboratory of Quantum Information Technology, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China |
|
|
Abstract We analyze the reading and initialization of a topological qubit encoded by Majorana fermions in one-dimensional semiconducting nanowires, weakly coupled to a single level quantum dot (QD). It is shown that when the Majorana fermions are fused by tuning gate voltage, the topological qubit can be read out directly through the occupation of the QD in an energy window. The initialization of the qubit can also be realized via adjusting the gate voltage on the QD, with the total fermion parity conserved. As a result, both reading and initialization processes can be achieved in an all-electrical way.
|
Received: 07 October 2013
Revised: 04 December 2013
Accepted manuscript online:
|
PACS:
|
03.67.Lx
|
(Quantum computation architectures and implementations)
|
|
71.10.Pm
|
(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
|
|
74.45.+c
|
(Proximity effects; Andreev reflection; SN and SNS junctions)
|
|
Fund: Project supported by the National Basic Research Program of China (Grant Nos. 2011CB922100, 2011CBA00205, and 2013CB921804), the General Research Fund (GRF) of the Research Grants Council (RGC) of Hong Kong, China (Grant Nos. HKU7058/11P and HKU7045/13P), the Collaborative Research Fund (CRF) of the Research Grants Council (RGC) of Hong Kong, China (Grant No. HKU-8/11G), the University Research Committee (URC) Fund of the Hong Kong University (HKU), China, the National Natural Science Foundation of China (Grant Nos. 11074111, 11023002, and 11004065), the Priority Academic Program Development of Jiangsu Higher Education Institutions, China, the Program for New Century Excellent Talents in University of Ministry of Education of China, the Program for Changjiang Scholars and Innovative Research Team in University, China, and the Fundamental Research Funds for the Central Universities of Ministry of Education of China. |
Corresponding Authors:
Wang Z. D., Shen Rui
E-mail: zwang@hku.hk;shen@nju.edu.cn
|
Cite this article:
Chen Wei (陈伟), Xue Zheng-Yuan (薛正远), Wang Z. D.(汪子丹) , Shen Rui (沈瑞) All-electrically reading out and initializing topological qubits with quantum dots 2014 Chin. Phys. B 23 030309
|
[1] |
Nayak C, Simon S, Stern A, Freedman M and Das Sarma S 2008 Rev. Mod. Phys. 80 1083
|
[2] |
Kitaev A Y 2001 Phys. Usp. 44 131
|
[3] |
Alicea J 2012 Rep. Prog. Phys. 75 076501
|
[4] |
Moore G and Read N 1991 Nucl. Phys. B 360 362
|
[5] |
Read N and Green D 2000 Phys. Rev. B 61 10267
|
[6] |
Ivanov D A 2001 Phys. Rev. Lett. 86 268
|
[7] |
Zhou J H, Qin T and Shi J R 2013 Chin. Phys. Lett. 30 017401
|
[8] |
Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407
|
[9] |
Li X G, Zhang G F, Wu G F, Chen H, Dimitrie C and Zhang Z Y 2013 Chin. Phys. B 22 097306
|
[10] |
Oreg Y, Refael G and von Oppen F 2010 Phys. Rev. Lett. 105 177002
|
[11] |
Lutchyn R M, Sau J D and Das Sarma S 2010 Phys. Rev. Lett. 105 077001
|
[12] |
Mourik V, Zuo K, Frolov S M, Plissard S R, Bakkers E P A M and Kouwenhoven L P 2012 Science 336 1003
|
[13] |
Deng M T, Yu C L, Huang G Y, Larsson M, Caroff P and Xu H Q 2012 Nano Lett. 12 6414
|
[14] |
Das A, Ronen Y, Most Y, Oreg Y, Heiblum M and Shtrikman H 2012 Nat. Phys. 8 887
|
[15] |
Rokhinson L P, Liu X and Furdyna J K 2012 Nat. Phys. 8 795
|
[16] |
Alicea J, Oreg Y, Refael G, von Oppen F and Fisher M P A 2011 Nat. Phys. 7 412
|
[17] |
Bonderson P, Kitaev A and Shtengel K 2006 Phys. Rev. Lett. 96 016803
|
[18] |
Fu L and Kane C L 2009 Phys. Rev. B 79 161408
|
[19] |
Beenakker C W J 2013 Ann. Rev. Condens. Matter Phys. 4 113
|
[20] |
Jiang L, Kane C L and Preskill J 2011 Phys. Rev. Lett. 106 130504
|
[21] |
Leijnse M and Flensberg K 2011 Phys. Rev. Lett. 107 210502
|
[22] |
Hassler F, Akhmerov A R, Hou C Y and Beenakker C W J 2010 New J. Phys. 12 125002
|
[23] |
Flensberg K 2011 Phys. Rev. Lett. 106 090503
|
[24] |
Bravyi S 2006 Phys. Rev. A 73 042313
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|