Deterministic implementations of fermionic quantum SWAP and Fredkin gates for spin qubits based on charge detection

doi:10.1088/1674-1056/21/4/040306

Abstract We propose a scheme to implement fermionic quantum SWAP and Fredkin gates for spin qubits with the aid of charge detection. The scheme is deterministic without the need of qubit-qubit interaction, and the proposed setups consist of simple polarizing beam splitters, single-spin rotations, and charge detectors. Compared with linear optics quantum computation, this charge-measurement-based qubit scheme greatly enhances the success probability for implementing quantum SWAP and Fredkin gates and greatly simplifies the experimental realization of scalable quantum computers with noninteracting electrons.

Keywords: SWAP gate Fredkin gate charge detection

Received: 10 October 2011
Revised: 28 October 2011
Accepted manuscript online:

PACS:	03.67.Lx	(Quantum computation architectures and implementations)
	03.67.-a	(Quantum information)

Fund: Project supported by the National Natural Science Foundation of China(Grant Nos.11147174,61068001,11165015,and 11064016)and the Talent Program of Yanbian University of China(Grant No.950010001)

Corresponding Authors: Wang Hong-Fu, E-mail:hfwang@ybu.edu.cn;Zhang Shou,szhang@ybu.edu.cn
E-mail: hfwang@ybu.edu.cn;szhang@ybu.edu.cn

Cite this article:

Wang Hong-Fu(王洪福), Zhang Shou(张寿), and Zhu Ai-Dong(朱爱东) Deterministic implementations of fermionic quantum SWAP and Fredkin gates for spin qubits based on charge detection 2012 Chin. Phys. B 21 040306

[1]	Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Rev. Mod. Phys. 79 135
[2]	O'Brien J L, Pryde G J, White A G, Ralph T C and Branning D 2003 Nature (London) 426 264
[3]	Pittman T B, Jacobs B C and Franson J D 2004 Phys. Rev. A 64 062311
[4]	Pittman T B, Jacobs B C and Franson J D 2004 Phys. Rev. A 69 042306
[5]	Pittman T B, Jacobs B C and Franson J D 2002 Phys. Rev. A 66 052305
[6]	Ralph T C, Langford N K, Bell T B and White A G 2002 Phys. Rev. A 65 062324
[7]	Hofmann H F and Takeuchi S 2002 Phys. Rev. A 66 024308
[8]	Pittman T B, Fitch M J, Jacobs B C and Franson J D 2003 Phys. Rev. A 68 032316
[9]	Huang Y F, Ren X F, Zhang Y S, Duan L M and Guo G C 2004 Phys. Rev. Lett. 93 240501
[10]	Fiorentino M, Kim T and Wong F N C 2005 Phys. Rev. A 72 012318
[11]	Zou X B, Li K and Guo G C 2006 Phys. Rev. A 74 044305
[12]	Zou X B, Zhang S L, Li K and Guo G C 2007 Phys. Rev. A 75 034302
[13]	vCernoch A, Soubusta J, Bart.uvskov? L, Duvsek M and Fiur醰sek J 2008 Phys. Rev. Lett. 100 180501
[14]	Fiur醰sek J 2008 Phys. Rev. A 78 032317
[15]	Knill E, Laflamme R and Milburn G 2001 Nature (London) 409 46
[16]	Wang H F and Zhang S 2009 Chin. Phys. B 18 2642
[17]	Tang S Q, Zhang D Y, Wang X W, Xie L J and Gao F 2011 Chin. Phys. B 20 040308
[18]	Zhang G F and Xing Z 2010 Acta Phys. Sin. 59 1468 (in Chinese)
[19]	Elzerman J M, Hanson R, Willems van Beveren L H, Vandersypen L M K and Kouwenhoven L P 2004 Appl. Phys. Lett. 84 4617
[20]	Loss D and DiVincenzo D P 1998 Phys. Rev. A 57 120
[21]	Bose S and Home D 2002 Phys. Rev. Lett. 88 050401
[22]	Beenakker C W J, DiVincenzo D P, Emary C and Kindermann M 2004 Phys. Rev. Lett. 93 020501
[23]	Field M, Smith C G, Pepper M, Ritchie D A, Frost J E F, Jones G A C and Hasko D G 1993 Phys. Rev. Lett. 70 1311
[24]	Buks E, Schuster R, Heiblum M, Mahalu D and Umansky V 1998 Nature (London) 391 871
[25]	Oliver W D, Kim J, Liu R C and Yamamoto Y 1999 Science 284 299
[26]	Henny M, Oberholzer S, Strunk C, Heinzel T, Ensslin K, Holland M and Schönenberger C 1999 Science 284 296
[27]	Elzerman J M, Hanson R, Willems van Beveren L H, Vandersypen L M K and Kouwenhoven L P 2004 Appl. Phys. Lett. 84 4617
[28]	Engel H A and Loss D 2005 Science 309 586
[29]	Herzog T J, Kwiat P G, Weinfurter H and Zeilinger A 1995 Phys. Rev. Lett. 75 3034
[30]	Liu R C, Odom B, Yamamoto Y and Tarucha S 1998 it Nature (London) 391 263

[1]	Universal quantum control based on parametric modulation in superconducting circuits Dan-Yu Li(李丹宇), Ji Chu(储继), Wen Zheng(郑文), Dong Lan(兰栋), Jie Zhao(赵杰), Shao-Xiong Li(李邵雄), Xin-Sheng Tan(谭新生), and Yang Yu(于扬). Chin. Phys. B, 2021, 30(7): 070308.
[2]	Heralded linear optical quantum Fredkin gate based on one auxiliary qubit and one single photon detector Zhu Chang-Hua (朱畅华), Cao Xin (曹鑫), Quan Dong-Xiao (权东晓), Pei Chang-Xing (裴昌幸). Chin. Phys. B, 2014, 23(8): 084207.
[3]	Complete hyperentangled state analysis and generation of multi-particle entanglement based on charge detection Ji Yan-Qiang (计彦强), Jin Zhao (金钊), Zhu Ai-Dong (朱爱东), Wang Hong-Fu (王洪福), Zhang Shou (张寿). Chin. Phys. B, 2014, 23(5): 050306.
[4]	Block-free optical quantum Banyan network based on quantum state fusion and fission Zhu Chang-Hua (朱畅华), Meng Yan-Hong (孟艳红), Quan Dong-Xiao (权东晓), Zhao Nan (赵楠), Pei Chang-Xing (裴昌幸). Chin. Phys. B, 2014, 23(12): 120309.
[5]	Quantum state swap for two trapped Rydberg atoms Wu Huai-Zhi(吴怀志), Yang Zhen-Biao(杨贞标), and Zheng Shi-Biao(郑仕标) . Chin. Phys. B, 2012, 21(4): 040305.
[6]	Feasible schemes for quantum swap gates of optical qubits via cavity QED Tang Shi-Qing(唐世清), Zhang Deng-Yu(张登玉), Wang Xin-Wen(汪新文), Xie Li-Jun(谢利军), and Gao Feng(高峰) . Chin. Phys. B, 2011, 20(4): 040308.
[7]	Two quantum oscillators coupled with a planar radio frequency ion trap Chen Liang(陈亮) and Gao Ke-Lin(高克林). Chin. Phys. B, 2010, 19(11): 110309.
[8]	One scheme for remote quantum logical gates with the assistance of a classical field Li Yan-Ling(李艳玲),Fang Mao-Fa(方卯发), and Zeng Ke(曾可) . Chin. Phys. B, 2010, 19(1): 010307.
[9]	Three-qubit Fredkin gate based on cavity quantum electrodynamics Shao Xiao-Qiang(邵晓强), Chen Li(陈丽), and Zhang Shou(张寿). Chin. Phys. B, 2009, 18(8): 3258-3264.
[10]	Quantum logic gates with two-level trapped ions beyond Lamb--Dicke limit Zheng Xiao-Juan(郑小娟), Luo Yi-Min(罗益民), and Cai Jian-Wu(蔡建武). Chin. Phys. B, 2009, 18(4): 1352-1356.
[11]	Quantum information procession with fermions based on charge detection Tang Li(唐莉) . Chin. Phys. B, 2009, 18(12): 5155-5160.
[12]	Efficient scheme of quantum SWAP gate and multi-atom cluster state via cavity QED Jiang Chun-Lei(姜春蕾), Fang Mao-Fa(方卯发), and Hu Yao-Hua(胡要花). Chin. Phys. B, 2008, 17(1): 190-193.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Deterministic implementations of fermionic quantum SWAP and Fredkin gates for spin qubits based on charge detection

Cite this article:

Online attention