|
|
Rydberg quantum controlled-phase gate with one control and multiple target qubits |
S L Su(苏石磊) |
School of Physics and Engineering, Zhengzhou University, Zhengzhou 450001, China |
|
|
Abstract We propose a scheme to construct the multiple-qubit Rydberg quantum controlled-phase gate with one control and multiple target qubits. The proposed quantum logic gate works under the asymmetric-Rydberg-interaction-induced dipole blockade and can be implemented with three operation steps. The most prominent characteristic of the scheme is that the required operation time and steps keep invariant as the number of qubits increases. The Rydberg state leakage and some practical situations are considered. The Lindblad master equation is used to evaluate and verify the feasibility of the scheme.
|
Received: 29 June 2018
Revised: 22 August 2018
Accepted manuscript online:
|
PACS:
|
03.67.-a
|
(Quantum information)
|
|
03.67.Lx
|
(Quantum computation architectures and implementations)
|
|
32.80.Ee
|
(Rydberg states)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11747096). |
Corresponding Authors:
S L Su
E-mail: slsu@zzu.edu.cn
|
Cite this article:
S L Su(苏石磊) Rydberg quantum controlled-phase gate with one control and multiple target qubits 2018 Chin. Phys. B 27 110304
|
[1] |
Gallagher T F 1994 Rydberg Atoms (Cambridge:Cambridge University Press)
|
[2] |
Saffman M, Walker T G and Mølmer K 2010 Rev. Mod. Phys. 82 2313
|
[3] |
Jaksch D, Cirac J I, Zoller P, Rolston S L, Côté R and Lukin M D 2000 Phys. Rev. Lett. 85 2208
|
[4] |
Lukin M D, Fleischhauer M, Côté R, Duan L M, Jaksch D, Cirac J I and Zoller P 2001 Phys. Rev. Lett. 87 037901
|
[5] |
Gaëtan A, Miroshnychenko Y, Wilk T, Chotia A, Viteau M, Comparat D, Pillet P, Browaeys A and Grangier P 2009 Nat. Phys. 5 115
|
[6] |
Urban E, Johnson T A, Henage T, Isenhower L, Yavuz D D, Walker TG and Saffman M 2009 Nat. Phys. 5 110
|
[7] |
Béguin L, Vernier A, Chicireanu R, Lahaye T and Browaeys A 2013 Phys. Rev. Lett. 110 263201
|
[8] |
Busche H, Huillery P, Ball S W, Ilieva T, Jones M P A and Adams C S2017 Nat. Phys. 13 655
|
[9] |
Brion E, Pedersen L H and Mølmer K 2007 J. Phys. B:At. Mol. Opt. Phys. 40 S159
|
[10] |
Shi X F and Kennedy T A B 2017 Phys. Rev. A 95 043429
|
[11] |
Müller M, Lesanovsky I, Weimer H, Büchler H P and Zoller P 2009 Phys. Rev. Lett. 102 170502
|
[12] |
Isenhower L, Urban E, Zhang X L, Gill A T, Henage T, Johnson T A,Walker T G and Saffman M 2010 Phys. Rev. Lett. 104 010503
|
[13] |
Kuznetsova E, Bragdon T, Côté R and Yelin S F 2012 Phys. Rev. A 85 012328
|
[14] |
Xia T, Zhang X L and Saffman M 2013 Phys. Rev. A 88 062337
|
[15] |
Goerz M H, Halperin E J, Aytac J M, Koch C P and Whaley K B 2014 Phys. Rev. A 90 032329
|
[16] |
Bhaktavatsala Rao D D and Mølmer K 2014 Phys. Rev. A 89 030301(R)
|
[17] |
Maller K M, Lichtman M T, Xia T, Sun Y, Piotrowicz M J, Carr A W,Isenhower L and Saffman M 2015 Phys. Rev. A 92 022336
|
[18] |
Das S, Grankin A, Iakoupov A, Brion E, Borregaard J, Boddeda R, Usmani I, Ourjoumtsev A, Grangier P and Sørensen A S 2016 Phys. Rev. A 93 040303(R)
|
[19] |
Keating T, Cook R L, Hankin A M, Jau Y Y, Biedermann G W andDeutsch I H 2015 Phys. Rev. A 91 012337
|
[20] |
Müller M M, Murphy M, Montangero S, Calarco T, Grangier P and Browaeys A 2014 Phys. Rev. A 89 032334
|
[21] |
Petrosyan D and Mølmer K 2014 Phys. Rev. Lett. 113 123003
|
[22] |
Keating T, Goyal K, Jau Y Y, Biedermann G W, Landahl A J andDeutsch I H 2013 Phys. Rev. A 87 052314
|
[23] |
Shao X Q, Li D X, Ji Y Q, Wu J H and Yi X X 2017 Phys. Rev. A 96 012328
|
[24] |
Shi X F 2017 Phys. Rev. Applid. 7 064017
|
[25] |
Petrosyan D, Motzoi F, Saffman M and Mølmer K 2017 Phys. Rev. A 96 042306
|
[26] |
Su S L, Liang E J, Zhang S, Wen J J, Sun L L, Jin Z and Zhu A D 2016 Phys. Rev. A 93 012306
|
[27] |
Su S L, Tian Y, Shen H Z, Zang H, Liang E and Zhang S 2017 Phys. Rev. A 96 042335
|
[28] |
Su S L, Shen H Z, Liang E J and Zhang S 2018 Phys. Rev. A 98 032306
|
[29] |
Li D X and Shao X Q arXiv:1806.05336
|
[30] |
Huang X R, Ding Z X, Hu C S, Shen L T, Li W, Wu H and Zheng S BarXiv:1806.09775v1
|
[31] |
Kang Y H, Chen Y H, Shi Z C, Huang B H, Song J and Xia Y 2018 Phys. Rev. A 97 042336
|
[32] |
Toffoli T 1980 Lectures Notes in Computer Science (de Bakker J Wand van Leeuwen J, Ed.) Vol. 84(New York:Springer)
|
[33] |
Fredkin E and Toffoli T 1982 Int. J. Theor. Phys. 21 219-253
|
[34] |
Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge:Cambridge University Press)
|
[35] |
Barenco A, Bennett C H, Cleve R, DiVincenzo D P, Margolus N, ShorP, Sleator T, Smolin J A and Weinfurter H 1995 Phys. Rev. A 52 3457
|
[36] |
Saeedi M and Pedram M 2013 Phys. Rev. A 87 062318
|
[37] |
Chen C Y, Feng M and Gao K L 2006 Phys. Rev. A 73 064304
|
[38] |
Zhang Y Q and Zhang S 2009 Chin. Phys. B 18 4683
|
[39] |
Tang S Q, Zhang D Y, Xie L J, Zhan X G and Gao F 2009 Chin. Phys. B 18 56
|
[40] |
Xiao Y F, Zou X B and Guo G C 2007 Phys. Rev. A 75 014302
|
[41] |
Shao X Q, Zhu A D, Zhang S, Chung J S and Yeon K H 2007 Phys. Rev. A 75 034307
|
[42] |
Monz T, Kim K, Hansel W, Riebe M, Villar A S, Schindler P, ChwalläM, Hennrich M and Blatt R 2009 Phys. Rev. Lett. 102 040501
|
[43] |
Zheng S B 2013 Phys. Rev. A 87 042318
|
[44] |
Vandersypen L M K, Steffen M, Breyta G, Yannoni C S, Sherwood MH and Chuang I L 2001 Nature 414 883
|
[45] |
Cory D G, Price M D, Maas W, Knill E, Laflamme R, Zurek W H,Havel T F and Somaroo S S 1998 Phys. Rev. Lett. 81 2152
|
[46] |
Sarovar M and Milburn G J 2005 Proc. SPIE Int. Soc. Opt. Eng. 5842 158
|
[47] |
Šǎsura M and Bužek V 2001 Phys. Rev. A 64 012305
|
[48] |
Gaitan F 2008 Quantum Error Correction and Fault Tolerant Quantum Computing (New York:CRC Press)
|
[49] |
Beth T and Rotteler M 2001 Quantum Information Vol. 173, Chapter4, page 96(Berlin:Springer)
|
[50] |
Braunstein S L, Bužek V and Hillery M 2001 Phys. Rev. A 63 052313
|
[51] |
Yang C P, Liu Y X and Nori F 2010 Phys. Rev. A 81 062323
|
[52] |
Yang C P, Zheng S B and Nori F 2010 Phys. Rev. A 82 062326
|
[53] |
Yang C P, Su Q P and Liu J M 2012 Phys. Rev. A 86 024301
|
[54] |
Yang C P, Su Q P, Zhang F Y and Zheng S B 2014 Opt. Lett. 39 3312
|
[55] |
Nemoto K and Munro W J 2004 Phys. Rev. Lett. 93 250502
|
[56] |
Lin Q and Li J 2009 Phys. Rev. A 79 022301
|
[57] |
Shen C P, Gu X F, Guo Q, Zhu, X Y, Su S L and Liang E J 2018 J. Opt. Soc. A. B 35 694
|
[58] |
Su S L, Wang Y, Guo Q, Wang H F and Zhang S 2012 Chin. Phys. B 21 044205
|
[59] |
Xiu X M, Li Q Y, Lin Y F, Dong L, Dong H K and Gao Y J 2017 Opt. Commun. 393 173
|
[60] |
Dong L, Lin Y F, Cui C, Dong H K, Xiu X M and Gao Y J 2018 Quantum Inf. Process. 17 114
|
[61] |
Shen H Z, Zhou Y H and Yi X X 2014 Phys. Rev. A 90 023849
|
[62] |
Shen H Z, Zhou Y H and Yi X X 2015 Phys. Rev. A 91 063808
|
[63] |
Shen H Z, Li D X, Su S L, Zhou Y H and Yi X X 2017 Phys. Rev. A 96 033805
|
[64] |
Shen H Z, Shang C, Zhou Y HandYi X X 2018 Phys. Rev. A 98 023856
|
[65] |
Brion E, Mouritzen A S and Mølmer K 2007 Phys. Rev. A 76 022334
|
[66] |
Wu H Z, Yang Z B and Zheng S B 2010 Phys. Rev. A 82 034307
|
[67] |
Isenhower L, Saffman M and Mølmer K 2011 Quantum Inf. Process. 10 755
|
[68] |
Su S L, Gao Y, Liang E and Zhang S 2017 Phys. Rev. A 95 022319
|
[69] |
Saffman M and Mølmer K 2009 Phys. Rev. Lett. 102 240502
|
[70] |
Carr A W and Saffman M 2013 Phys. Rev. Lett. 111 033607
|
[71] |
Nielsen M A 2002 Phys. Lett. A 303 249
|
[72] |
White A G, Gilchrist A, Pryde G J, O'Brien J L, Bremner M J andLangford N K 2007 J. Opt. Soc. Am. B 24 172
|
[73] |
Beterov I I and Saffman M 2015 Phys. Rev. A 92 042710
|
[74] |
Walker T G and Saffman M 2008 Phys. Rev. A 77 032723
|
[75] |
Weimer H, Müller M, Lesanovsky I, Zoller P and Büchler H P 2010 Nat. Phys. 6 382
|
[76] |
Wu H Z, Huang X R, Hu C S, Yang Z B and Zheng S B 2017 Phys. Rev. A 96 022321
|
[77] |
Duan L M, Cirac J I and Zoller P 2001 Science 292 1695
|
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
|
|
|