Quantum secret sharing based on quantum error-correcting codes

doi:10.1088/1674-1056/20/5/050309

Abstract Quantum secret sharing(QSS) is a procedure of sharing classical information or quantum information by using quantum states. This paper presents how to use a [2k-1,1,k] quantum error-correcting code (QECC) to implement a quantum (k,2k-1) threshold scheme. It also takes advantage of classical enhancement of the [2k-1,1,k] QECC to establish a QSS scheme which can share classical information and quantum information simultaneously. Because information is encoded into QECC, these schemes can prevent intercept-resend attacks and be implemented on some noisy channels.

Keywords: quantum secret sharing quantum error-correcting code classically enhanced quantum error-correcting code

Received: 07 November 2010
Revised: 27 December 2010
Accepted manuscript online:

PACS:	03.67.Dd	(Quantum cryptography and communication security)
	03.67.Pp	(Quantum error correction and other methods for protection against decoherence)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61072071).

Cite this article:

Zhang Zu-Rong (张祖荣), Liu Wei-Tao (刘伟涛), Li Cheng-Zu (李承祖) Quantum secret sharing based on quantum error-correcting codes 2011 Chin. Phys. B 20 050309

[1]	Schneier B 1996 Applied Cryptography (New York: Wiley) p. 70
[2]	Shamir A 1979 Commun. ACM 22 612
[3]	Hillery M, Buzk V and Berthiaume A 1999 Phys. Rev. A 59 1829
[4]	Cleve R, Gottesman D and Lo H K 1999 Phys. Rev. Lett. bf 82 648
[5]	Gottesman D 2000 Phys. Rev. A 61 042311
[6]	Xiao L, Long G L, Deng F G and Pan J W 2004 Phys. Rev. A 69 052307
[7]	Wang C, Zhang Y and Jin G S 2010 Sci. Chin. Ser. G bf53 2064
[8]	Hu M L, Qin M, Tao Y J and Tian D P 2008 Chin. Phys. B 17 624
[9]	Zhang Z J, Li Y and Man Z X 2005 Phys. Rev. A 71 044301
[10]	Deng F G, Zhou H Y and Long G L 2005 Phys. Lett. A bf337 329
[11]	Gao T, Yan F L and Li Y C 2009 Sci. Chin. Ser. G bf52 1191
[12]	Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
[13]	Zhang Z J and Man Z X 2005 Phys. Rev. A 72 022303
[14]	Chen P, Deng F G and Long G L 2006 Chin. Phys. bf15 2228
[15]	Shi R H, Huang L S, Yang W and Zhong H 2010 Sci. Chin. Ser. G bf53 2238
[16]	Wang Y H and Song H S 2009 Chin. Sci. Bull. bf54 2599
[17]	Gu Y J, Ma L Z, Yu X M and Zhou B A 2008 Chin. Phys. B bf17 462
[18]	Shor P W 1995 Phys. Rev. A 52 R2493
[19]	Knill E and Laflamme R 1997 Phys. Rev. A 55 900
[20]	Steane A 1996 Phys. Rev. Lett. 77 793
[21]	Calderbank A R and Shor P W 1996 Phys. Rev. A 54 1098
[22]	Gottesman D 1998 Phys. Rev. A 57 127
[23]	Gottesman D Stabilizer Codes and Quantum Error Correction (Ph. D. thesis) California Institute of Technology
[24]	Nielsen M A and Chuang I L 2003 Quantum Computation and Quantum Information (Bejing: Higher Education Press) p. 445
[25]	Kremsky I, Hsieh M H and Brun T A 2008 Phys. Rev. A 78 012341
[26]	Hsu L Y 2003 Phys. Rev. A bf68 022306
[27]	Hao L, Li J L and Long G L 2010 Sci. Chin. Ser. G bf53 491
[28]	Xu F X, Chen W, Wang S, Yin Z Q, Zhang Y, Liu Y, Zhou Z, Zhao Y B, Li H W, Liu D, Han Z F and Guo G C 2009 Chin. Sci. Bull. bf54 2991

[1]	Measurement-device-independent quantum secret sharing with hyper-encoding Xing-Xing Ju(居星星), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波), and Lan Zhou(周澜). Chin. Phys. B, 2022, 31(10): 100302.
[2]	Dynamic quantum secret sharing protocol based on two-particle transform of Bell states Yu-Tao Du(杜宇韬), Wan-Su Bao(鲍皖苏). Chin. Phys. B, 2018, 27(8): 080304.
[3]	Cryptanalysis and improvement of a quantum secret sharing scheme based on $χ$ -type entangled states Zhu Zhen-Chao(朱珍超), Zhang Yu-Qing(张玉清), and Fu An-Min(付安民) . Chin. Phys. B, 2012, 21(1): 010307.
[4]	Efficient quantum secret sharing scheme with two-particle entangled states Zhu Zhen-Chao(朱珍超), Zhang Yu-Qing(张玉清), and Fu An-Min(付安民) . Chin. Phys. B, 2011, 20(4): 040306.
[5]	Three-party quantum secret sharing of secure direct communication based on $χ$ -type entangled states Yang Yu-Guang(杨宇光), Cao Wei-Feng(曹卫锋), and Wen Qiao-Yan(温巧燕). Chin. Phys. B, 2010, 19(5): 050306.
[6]	Quantum secret sharing protocol using modulated doubly entangled photons Wang Chuan(王川) and Zhang Yong(张勇). Chin. Phys. B, 2009, 18(8): 3238-3242.
[7]	Enhancing the security of quantum secret sharing against multiphoton attack Zhang Bin-Bin(张彬彬), Wang Da-Qing(王大庆), Huang Shan-Shan(黄珊珊), and Liu Yu(刘玉). Chin. Phys. B, 2009, 18(6): 2149-2153.
[8]	Participant attack on quantum secret sharing based on entanglement swapping Song Ting-Ting(宋婷婷), Zhang Jie(张劼), Gao Fei(高飞), Wen Qiao-Yan(温巧燕), and Zhu Fu-Chen(朱甫臣). Chin. Phys. B, 2009, 18(4): 1333-1337.
[9]	Proof of the insecurity of quantum secret sharing based on the Smolin bound entangled states Yu Ya-Fei(於亚飞) and Zhang Zhi-Ming(张智明). Chin. Phys. B, 2009, 18(4): 1342-1345.
[10]	High-capacity three-party quantum secret sharing with superdense coding Gu Bin(顾斌), Li Chuan-Qi(李传起), Xu Fei(徐飞), and Chen Yu-Lin(陈玉林). Chin. Phys. B, 2009, 18(11): 4690-4694.
[11]	Circular threshold quantum secret sharing Yang Yu-Guang(杨宇光) and Wen Qiao-Yan(温巧燕). Chin. Phys. B, 2008, 17(2): 419-423.
[12]	Construction and application of multi-partner communication network Xiu Xiao-Ming (修晓明), Dong Li (董莉), Gao Ya-Jun (高亚军), Chi Feng (迟锋). Chin. Phys. B, 2008, 17(11): 3991-3995.
[13]	Scheme for sharing classical information via tripartite entangled states Xue Zheng-Yuan (薛正远), Yi You-Min (易佑民), Cao Zhuo-Liang (曹卓良). Chin. Phys. B, 2006, 15(7): 1421-1424.
[14]	High-dimension multiparty quantum secret sharing scheme with Einstein-Podolsky-Rosen pairs Chen Pan(陈攀), Deng Fu-Guo(邓富国), and Long Gui-Lu (龙桂鲁). Chin. Phys. B, 2006, 15(10): 2228-2235.
[15]	Scheme for implementing quantum secret sharing via cavity QED Chen Zhi-Hua (陈志华), Lin Xiu-Min (林秀敏). Chin. Phys. B, 2005, 14(9): 1821-1824.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Quantum secret sharing based on quantum error-correcting codes

Cite this article:

Online attention