Please wait a minute...
Chinese Physics, 2007, Vol. 16(10): 2875-2879    DOI: 10.1088/1009-1963/16/10/008
GENERAL Prev   Next  

A (2, 3) quantum threshold scheme based on Greenberger--Horne--Zeilinger state

Li Yuan(李渊) and Zeng Gui-Hua(曾贵华)
Laboratory of Quantum Information and Communication Security, Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China
Abstract  In this paper, by using properties of quantum controlled-not manipulation and entanglement states, we have designed a novel (2, 3) quantum threshold scheme based on the Greenberger- Horne -Zeilinger (GHZ) state. The proposed scheme involves two phases, i.e. a secret sharing phase and a secret phase. Detailed proofs show that the proposed scheme is of unconditional security. Since the secret is shared among three participants, the proposed scheme may be applied to quantum key distribution and secret sharing.
Keywords:  quantum threshold      controlled-not manipulation      secret sharing      GHZ state  
Received:  22 November 2006      Revised:  01 March 2007      Accepted manuscript online: 
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No~60472018).

Cite this article: 

Li Yuan(李渊) and Zeng Gui-Hua(曾贵华) A (2, 3) quantum threshold scheme based on Greenberger--Horne--Zeilinger state 2007 Chinese Physics 16 2875

[1] Novel traveling quantum anonymous voting scheme via GHZ states
Wenhao Zhao(赵文浩) and Min Jiang(姜敏). Chin. Phys. B, 2023, 32(2): 020303.
[2] Probabilistic quantum teleportation of shared quantum secret
Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波). Chin. Phys. B, 2022, 31(9): 090303.
[3] Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames
Qian Dong(董茜), R. Santana Carrillo, Guo-Hua Sun(孙国华), and Shi-Hai Dong(董世海). Chin. Phys. B, 2022, 31(3): 030303.
[4] Semi-quantum private comparison protocol of size relation with d-dimensional GHZ states
Bing Wang(王冰), San-Qiu Liu(刘三秋), and Li-Hua Gong(龚黎华). Chin. Phys. B, 2022, 31(1): 010302.
[5] Decay of N-qubit GHZ states in Pauli channels
Chen Xiao-Yu (陈小余), Wang Ting-Ting (王婷婷). Chin. Phys. B, 2015, 24(8): 080303.
[6] Nonlocal multi-target controlled—controlled gate using Greenberger–Horne–Zeilinger channel and qutrit catalysis
Chen Li-Bing (陈立冰), Lu Hong (路洪). Chin. Phys. B, 2015, 24(7): 070307.
[7] Efficient scheme for realizing quantum dense coding with GHZ state in separated low-Q cavities
Sun Qian (孙倩), He Juan (何娟), Ye Liu (叶柳). Chin. Phys. B, 2014, 23(6): 060305.
[8] Resonant interaction scheme for GHZ state preparation and quantum phase gate with superconducting qubits in a cavity
Liu Xin (刘欣), Liao Qing-Hong (廖庆洪), Fang Guang-Yu (方光宇), Wang Yue-Yuan (王月媛), Liu Shu-Tian (刘树田). Chin. Phys. B, 2014, 23(2): 020311.
[9] Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise
Chen Zhong-Fang (陈忠芳), Liu Jin-Ming (刘金明), Ma Lei (马雷). Chin. Phys. B, 2014, 23(2): 020312.
[10] Deterministic joint remote state preparation of arbitrary two- and three-qubit states
Wang Yuan (王媛), Ji Xin (计新). Chin. Phys. B, 2013, 22(2): 020306.
[11] Knotted pictures of the GHZ states on the surface of trivial torus
Gu Zhi-Yu(顾之雨) and Qian Shang-Wu(钱尚武) . Chin. Phys. B, 2012, 21(7): 070201.
[12] A nearly deterministic scheme for generation of multiphoton GHZ states with weak cross-Kerr nonlinearity
Wang Yi(王奕), Ye Liu(叶柳), and Fang Bao-Long(方保龙) . Chin. Phys. B, 2011, 20(10): 100313.
[13] Generation of GHZ state and cluster state with atomic ensembles via the dipole–blockade mechanism
Ni Bin-Bin(倪彬彬), Gu Yong-Jian(顾永建), Chen Xiao-Dong(陈晓东), Liang Hong-Hui(梁鸿辉), Lin Xiu(林秀), and Lin Xiu-Min(林秀敏). Chin. Phys. B, 2010, 19(9): 090316.
[14] Generation of entangled coherent states through cavity-assisted interaction
Chen Xiao-Dong(陈晓东), Gu Yong-Jian(顾永建), Liang Hong-Hui(梁鸿辉), Ni Bin-Bin(倪彬彬), and Lin Xiu-Min(林秀敏) . Chin. Phys. B, 2010, 19(4): 040310.
[15] Quantum secure direct communication with Greenberger--Horne--Zeilinger-type state (GHZ state) over noisy channels
Zhang Xiao-Long(张小龙), Zhang Yue-Xia(张月霞), and Wei Hua(魏华). Chin. Phys. B, 2009, 18(2): 435-439.
No Suggested Reading articles found!