|
|
|
Geometric control of concurrence and quantum gate operations in triangular triple quantum dots |
| Junqing Li(李俊青)†, Shuo Dong(董硕), and Jianhua Wei(魏建华)‡ |
| Department of Physics, Renmin University of China, Beijing 100876, China |
|
|
|
|
Abstract As an important index to measure the degree of entanglement in quantum systems, concurrence plays an important role in practical research. In this paper, we study the concurrence between two qubits in triangular triple quantum dot structure. Through calculation and simulation, it is found that concurrence is mainly affected by the interdot coupling strength $t$, Coulomb interaction $U$, temperature $T$, and electrode coupling $\varGamma$. Through comparative studies with parallel triple quantum dot structures, we demonstrate that the triangular geometry exhibits significantly enhanced concurrence under identical conditions. In addition, under the condition that concurrence exceeds 0.9, the functional relationship between $t$ and $U$ is obtained through simulation, which provides theoretical support for quantum dot regulation under high entanglement. Finally, we demonstrate the feasibility of implementing a three-qubit quantum gate, using the Toffoli gate as a representative example, under the condition that the triangular triple quantum dot system maintains high entanglement.
|
Received: 06 May 2025
Revised: 07 July 2025
Accepted manuscript online: 07 July 2025
|
|
PACS:
|
03.67.Bg
|
(Entanglement production and manipulation)
|
| |
81.07.Ta
|
(Quantum dots)
|
| |
03.67.Hk
|
(Quantum communication)
|
| |
03.67.Mn
|
(Entanglement measures, witnesses, and other characterizations)
|
| |
03.67.Ac
|
(Quantum algorithms, protocols, and simulations)
|
|
| Fund: This work is supported by the National Natural Science Foundation of China (Grant Nos. 12274454, 11774418, 11374363, 11674317, 11974348, 11834014, and 21373191), the Strategic Priority Research Program of CAS (Grant Nos. XDB28000000 and XDB33000000), the Training Program of Major Research Plan of the National Natural Science Foundation of China (Grant No. 92165105), the Outstanding Innovative Talents Cultivation Funded Programs 2023 of Renmin University of China, the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China. |
Corresponding Authors:
Junqing Li, Jianhua Wei
E-mail: lijunqing@ruc.edu.cn;wjh@ruc.edu.cn
|
Cite this article:
Junqing Li(李俊青), Shuo Dong(董硕), and Jianhua Wei(魏建华) Geometric control of concurrence and quantum gate operations in triangular triple quantum dots 2026 Chin. Phys. B 35 020302
|
[1] Chen K, Albeverio S and Fei S M 2005 Phys. Rev. Lett. 95 040504
[2] Mintert F, Marek K and Buchleitner A 2006 Phys. Rev. Lett. 95 260502
[3] Uhlmann A 2000 Phys. Rev. A 62 032307
[4] Rafsanjani S M H, Huber M, Broadbent C J and Eberly J H 2012 Phys. Rev. A 86 062303
[5] Majtey A P, Bouvrie P A, Valdes-Hernandez A and Plastino A R 2016 Phys. Rev. A 93 032335
[6] Akhtarshenas S J 2010 Phys. Rev. A 83 042306
[7] Yugra Y, Montenegro C and Zela F D 2022 Phys. Rev. A 105 063710
[8] Walborn S P, Souto Ribeiro P H, Davidovich L, Mintert F and Buchleitner A 2006 Nature 440 1022
[9] Krueger O and Werner R F 2005 Physics 99 425
[10] Barnett S M and Phoenix S J D 1991 Phys. Rev. A 44 535
[11] Buzek, Vladimir, Braunstein, S L and Hillery M 2000 Phys. Rev. A 63 052313
[12] Kastoryano M J, Reiter F and Sorensen A S 2011 Phys. Rev. Lett. 106 090502
[13] Levine H, Keesling A, Omran A, Bernien H, Schwartz S and Zibrov A S 2018 Phys. Rev. Lett. 121 123603
[14] Pan JW, Daniell M, Gasparoni S,Weihs G and Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[15] Olivares S and Paris M G A 2011 Phys. Rev. Lett. 107 170505
[16] Inamori H, Rallan L and Vedral V 2001 J. Phys. A: Gen. Phys. 34 6913
[17] Zhang Z, Mower J, Englund D, Wong F N C and Shapiro J H 2014 Phys. Rev. Lett. 112 120506
[18] Devetak I 2006 Phys. Rev. Lett. 97 140503
[19] Buhrman H, Christandl M, Perry C and Zuiddam J 2016 Phys. Rev. Lett. 117 230503
[20] Liu Y, Ju L, Liang X L, Tang S B, Tu G L S and Zhou L 2012 Phys. Rev. Lett. 109 030501
[21] Portella-Oberli M T, Ciulin V, Berney J H, Deveaud B and Wojtowicz T 2012 Phys. Rev. B 69 235311
[22] Gagliano E R and Balseiro C A 1988 Phys. Rev. B 38 11766
[23] Slagle K, Bi Z, You Y Z and Xu C 2017 Phys. Rev. B 95 165136
[24] Hu J, Luo M, Jiang F, Xu R X and Yan Y J 2011 J. Chem. Phys. 134 101106
[25] Li Z H, Tong N H, Zheng X, Hou D,Wei J H and Hu J 2012 Phys. Rev. Lett. 109 266403
[26] Wang Y D, Zhu Z G, Wei J H and Yan Y J 2020 Eruophys. Lett. 130 17003
[27] Kehrein S K and Mielke A 1996 Ann. Phys. 252 1
[28] Anders F B, Lebanon E and Schiller A 2004 Phys. Rev. B 70 201306(R)
[29] Cheng Y X,Wang Y D,Wei J H, Zhu Z G and Yan Y J 2017 Phys. Rev. B 95 155417
[30] Wang Y D, Ni J H and Wei J H 2017 Phys. Rev. B 96 245426
[31] Weymann I, Bulka B R and Barnas J 2011 Phys. Rev. B 83 113306
[32] Cheng Y X, Hou W J, Wang Y D, Li Z H, Wei J H and Yan Y J 2015 New. J. Phys. 17 33009
[33] Busser C A and Heidrich-Meisner F 2013 Phys. Rev. Lett. 111 246807
[34] Ishiwata S, Taguchi Y, Murakawa H, Onose Y and Tokura Y 2008 Science 319 1643
[35] Brandt and Helmut E 1996 Phys. Rev. B 54 4246
[36] Jouravlev O N and Nazarov Y V 2006 Phys. Rev. Lett. 96 176804
[37] Ashoori R C, Stormer H L,Weiner J S, Pfeiffer L N, Baldwin KWand West K W 1993 Phys. Rev. Lett. 71 613
[38] Liang C T, Simmons M Y, Smith C G, Kim G H, Ritchie D A and Pepper M 2012 Phys. Rev. Lett. 81 3507
[39] Williams C P 2011 Explorations in Quantum Computing (Santa Clara, CA, United States) pp.99
[40] Griffiths D J 2013 Introduction to Electrodynamics 4th Ed. (Pearson)
[41] Hanson R, Kouwenhoven L P, Petta J R, Tarucha S and Vandersypen L M K 2007 Rev. Mod. Phys. 79 1217
[42] Shende V V and Markov I L 2009 Quantum. Inf. Comput. 9 461
[43] Wang X and Zanardi P 2002 Phys. Rev. A 301 1
[44] Qi Y and Wei J H 2024 Chin. Phys. B 33 57301
[45] Qi Y, Liu Y M, Wang Y D, Wei J H and Zhu Z G 2023 Chin. Phys. B 32 087304 |
| 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
|
|
|
