Efficient multiparty quantum key agreement with collective detection

As a burgeoning branch of quantum cryptography, quantum key agreement is a kind of key establishing processes where the security and fairness of the established common key should be guaranteed simultaneously. However, the difficulty on designing a qualified quantum key agreement protocol increases significantly with the increase of the number of the involved participants. Thus far, only few of the existing multiparty quantum key agreement (MQKA) protocols can really achieve security and fairness. Nevertheless, these qualified MQKA protocols are either too inefficient or too impractical. In this paper, an MQKA protocol is proposed with single photons in travelling mode. Since only one eavesdropping detection is needed in the proposed protocol, the qubit efficiency and measurement efficiency of it are higher than those of the existing ones in theory. Compared with the protocols which make use of the entangled states or multi-particle measurements, the proposed protocol is more feasible with the current technologies. Security and fairness analysis shows that the proposed protocol is not only immune to the attacks from external eavesdroppers, but also free from the attacks from internal betrayers.

[1]  Fuguo Deng,et al.  Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block , 2003, quant-ph/0308173.

[2]  Runhua Shi,et al.  Multi-party quantum key agreement with bell states and bell measurements , 2012, Quantum Information Processing.

[3]  Su-Juan Qin,et al.  Quantum anonymous ranking , 2014 .

[4]  Yu-Guang Yang,et al.  Fault-tolerant quantum secret sharing against collective noise , 2011 .

[5]  Fuguo Deng,et al.  Improving the security of secure direct communication based on the secret transmitting order of particles , 2006, quant-ph/0612016.

[6]  Fei Gao,et al.  A simple participant attack on the brádler-dušek protocol , 2007, Quantum Inf. Comput..

[7]  Tzonelih Hwang,et al.  New Efficient Three-Party Quantum Key Distribution Protocols , 2009, IEEE Journal of Selected Topics in Quantum Electronics.

[8]  Song Lin,et al.  Quantum key distribution: defeating collective noise without reducing efficiency , 2014, Quantum Inf. Comput..

[9]  Chitra Shukla,et al.  Protocols of quantum key agreement solely using Bell states and Bell measurement , 2014, Quantum Inf. Process..

[10]  Fuguo Deng,et al.  Quantum secure direct communication with high-dimension quantum superdense coding , 2005 .

[11]  Anmin Fu,et al.  Improving the security of protocols of quantum key agreement solely using Bell states and Bell measurement , 2015, Quantum Inf. Process..

[12]  Laflamme,et al.  Perfect Quantum Error Correcting Code. , 1996, Physical review letters.

[13]  Dominic C. O'Brien,et al.  Wireless Myths, Realities, and Futures: From 3G/4G to Optical and Quantum Wireless , 2012, Proceedings of the IEEE.

[14]  Ying Sun,et al.  Information leak in Liu et al.’s quantum private comparison and a new protocol , 2012, The European Physical Journal D.

[15]  Laszlo Gyongyosi,et al.  Performance evaluation of scalar reconciliation for Continuous-Variable Quantum Key Distribution , 2016, 2016 24th European Signal Processing Conference (EUSIPCO).

[16]  Fei Gao,et al.  Practical quantum private query of blocks based on unbalanced-state Bennett-Brassard-1984 quantum-key-distribution protocol , 2014, Scientific Reports.

[17]  Ziba Eslami,et al.  Cryptanalysis of a multiparty quantum key agreement protocol based on commutative encryption , 2017, Quantum Inf. Process..

[18]  Tian-Yin Wang,et al.  Security of a kind of quantum secret sharing with entangled states , 2017, Scientific Reports.

[19]  F. L. Yan,et al.  A scheme for secure direct communication using EPR pairs and teleportation , 2004 .

[20]  Qiaoyan Wen,et al.  Finite-key analysis for measurement-device-independent quantum key distribution , 2012 .

[21]  Zhan-jun Zhang,et al.  Multiparty quantum secret sharing , 2004, quant-ph/0412203.

[22]  Zhiwei Sun,et al.  Efficient multi-party quantum key agreement by cluster states , 2016, Quantum Inf. Process..

[23]  Haiming Long,et al.  The loophole of the improved secure quantum sealed-bid auction with post-confirmation and solution , 2013, Quantum Inf. Process..

[24]  Wen Xiao-jun,et al.  An E-payment system based on quantum group signature , 2010 .

[25]  Ting-Ting Song,et al.  Finite-key security analyses on passive decoy-state QKD protocols with different unstable sources , 2015, Scientific Reports.

[26]  Fei Gao,et al.  Efficient quantum private comparison employing single photons and collective detection , 2013, Quantum Inf. Process..

[27]  Sandor Imre,et al.  Advanced Quantum Communications: An Engineering Approach , 2012 .

[28]  Q. Cai Eavesdropping on the two-way quantum communication protocols with invisible photons , 2005, quant-ph/0508002.

[29]  Hao Cao,et al.  Multiparty Quantum Key Agreement Based on Quantum Search Algorithm , 2017, Scientific Reports.

[30]  Qiaoyan Wen,et al.  Robust variations of the Bennett-Brassard 1984 protocol against collective noise , 2009 .

[31]  Qiaoyan Wen,et al.  Quantum secure direct communication with χ -type entangled states , 2008 .

[32]  Fei Gao,et al.  Novel multiparty quantum key agreement protocol with GHZ states , 2014, Quantum Information Processing.

[33]  Shuang Wang,et al.  Randomness determines practical security of BB84 quantum key distribution , 2015, Scientific Reports.

[34]  Yan-Bing Li,et al.  Quantum Key Agreement Against Collective Decoherence , 2014 .

[35]  Xiu-Li Song,et al.  (t, n) Threshold d-Level Quantum Secret Sharing , 2017, Scientific Reports.

[36]  Wei Huang,et al.  Improved multiparty quantum key agreement in travelling mode , 2016, Science China Physics, Mechanics & Astronomy.

[37]  Tzonelih Hwang,et al.  New quantum private comparison protocol using EPR pairs , 2011, Quantum Information Processing.

[38]  Fei Gao,et al.  Multiparty quantum key agreement with single particles , 2012, Quantum Information Processing.

[39]  Wei-Wei Zhang,et al.  Revisiting “The Loophole of the Improved Secure Quantum Sealed-Bid Auction with Post-Confirmation and Solution” , 2014 .

[40]  Costantino De Angelis,et al.  Light propagation in nonuniform plasmonic subwavelength waveguide arrays , 2010 .

[41]  Chia-Wei Tsai,et al.  Improvement on “Quantum Key Agreement Protocol with Maximally Entangled States” , 2011 .

[42]  Fei Gao,et al.  Quantum secret sharing via local operations and classical communication , 2015, Scientific Reports.

[43]  G. Long,et al.  Controlled order rearrangement encryption for quantum key distribution , 2003, quant-ph/0308172.

[44]  Wenping Ma,et al.  Two-party quantum key agreement protocol with four-particle entangled states , 2016 .

[45]  Gui-Lu Long,et al.  Experimental quantum secure direct communication with single photons , 2015, Light: Science & Applications.

[46]  Wen Qiao-Yan,et al.  Fault tolerant quantum secure direct communication with quantum encryption against collective noise , 2012 .

[47]  Mingsheng Ying,et al.  Unambiguous discrimination among quantum operations , 2006 .

[48]  G. Long,et al.  Theoretically efficient high-capacity quantum-key-distribution scheme , 2000, quant-ph/0012056.

[49]  Zhiwei Sun,et al.  Efficient multiparty quantum key agreement protocol based on commutative encryption , 2016, Quantum Inf. Process..

[50]  Yong-Gang Tan,et al.  Practical decoy state quantum key distribution with finite resource , 2010 .

[51]  Fei Gao,et al.  Dense-Coding Attack on Three-Party Quantum Key Distribution Protocols , 2010, IEEE Journal of Quantum Electronics.

[52]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[53]  Fei Gao,et al.  Quantum key agreement with EPR pairs and single-particle measurements , 2013, Quantum Information Processing.

[54]  Chitra Shukla,et al.  Orthogonal-state-based protocols of quantum key agreement , 2013, 1310.1435.

[55]  Hui Chen,et al.  Flexible quantum private queries based on quantum key distribution. , 2011, Optics express.

[56]  Yixian Yang,et al.  An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement , 2010 .

[57]  Fei Gao,et al.  Postprocessing of the Oblivious Key in Quantum Private Query , 2014, IEEE Journal of Selected Topics in Quantum Electronics.

[58]  P. Zanardi,et al.  Noiseless Quantum Codes , 1997, quant-ph/9705044.

[59]  高飞,et al.  Fault tolerant quantum secure direct communication with quantum encryption against collective noise , 2012 .

[60]  Run-hua Shi,et al.  Two Quantum Protocols for Oblivious Set-member Decision Problem , 2015, Scientific Reports.

[61]  Li Liu,et al.  Round-robin differential-phase-shift quantum key distribution with a passive decoy state method , 2017, Scientific Reports.

[62]  Bin Liu,et al.  Single-Photon Multiparty Quantum Cryptographic Protocols With Collective Detection , 2011, IEEE Journal of Quantum Electronics.

[63]  Qiaoyan Wen,et al.  Self-tallying quantum anonymous voting , 2016, 1605.07942.

[64]  Zhiwei Sun,et al.  Improvements on “multiparty quantum key agreement with single particles” , 2013, Quantum Inf. Process..

[65]  Bin Liu,et al.  Collusive attacks to “circle-type” multi-party quantum key agreement protocols , 2016, Quantum Information Processing.

[66]  Fuguo Deng,et al.  Reply to ``Comment on `Secure direct communication with a quantum one-time-pad' '' , 2004, quant-ph/0405177.

[67]  Rui Yang,et al.  Quantum Hash function and its application to privacy amplification in quantum key distribution, pseudo-random number generation and image encryption , 2016, Scientific Reports.

[68]  Fengli Yan,et al.  Secure direct communication using Einstein-Podolsky-Rosen pairs and teleportation , 2003 .

[69]  Fei Gao,et al.  Cryptanalysis of a multi-party quantum key agreement protocol with single particles , 2013, Quantum Information Processing.

[70]  Dongyang Long,et al.  Multi-Party Quantum Key Agreement by an Entangled Six-Qubit State , 2016 .

[71]  Tzonelih Hwang,et al.  Quantum key agreement protocol based on BB84 , 2010 .

[72]  Nanrun Zhou,et al.  Single-Photon Secure Quantum Dialogue Protocol Without Information Leakage , 2014 .

[73]  Guihua Zeng,et al.  Quantum key agreement protocol , 2004 .