Quantum dialogue protocols immune to collective noise

This work proposes two quantum dialogue protocols, each of which is robust against one of the following two kinds of collective noise: collective-dephasing noise and collective-rotation noise. Both quantum dialogue protocols are constructed from four-qubit DF states that consist of two Bell states. The receiver simply performs two Bell state measurements to obtain the secret message. Moreover, the proposed protocols are free from information leakage because some shared private quantum states are established in the new protocols to allow the legitimate users to exchange their secret messages securely.

[1]  K. B. Whaley,et al.  Theory of decoherence-free fault-tolerant universal quantum computation , 2000, quant-ph/0004064.

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

[3]  Wen Qiao-Yan,et al.  A Special Eavesdropping on One-Sender Versus N-Receiver QSDC Protocol , 2008 .

[4]  Chun-Wei Yang,et al.  Fault tolerant two-step quantum secure direct communication protocol against collective noises , 2011 .

[5]  Qiaoyan Wen,et al.  Comment on “Quantum key distribution for d -level systems with generalized Bell states” , 2005, quant-ph/0505053.

[6]  Yu-Bo Sheng,et al.  Fault tolerant quantum key distribution based on quantum dense coding with collective noise , 2009, 0904.0056.

[7]  Zhan-jun Zhang Robust multiparty quantum secret key sharing over two collective-noise channels , 2006 .

[8]  Yuguang Yang,et al.  Three-party quantum secret sharing against collective noise , 2010, Quantum Information Processing.

[9]  V. Karimipour,et al.  Quantum secret sharing based on reusable GHZ states as secure carriers , 2002, quant-ph/0204124.

[10]  Fei Gao,et al.  Comment on ``Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers'' , 2005 .

[11]  Gilles Brassard,et al.  Quantum cryptography: Public key distribution and coin tossing , 2014, Theor. Comput. Sci..

[12]  Su-Juan Qin,et al.  Cryptanalysis and improvement of a secure quantum sealed-bid auction , 2009 .

[13]  Zhan-Jun Zhang,et al.  SECURE DETERMINISTIC BIDIRECTIONAL COMMUNICATION WITHOUT ENTANGLEMENT , 2006 .

[14]  Chun-Wei Yang,et al.  Revisiting Deng et al.’s Multiparty Quantum Secret Sharing Protocol , 2011 .

[15]  Vahid Karimipour,et al.  Quantum key distribution for d -level systems with generalized Bell states , 2002 .

[16]  Viola,et al.  Theory of quantum error correction for general noise , 2000, Physical review letters.

[17]  R. Laflamme,et al.  Robust polarization-based quantum key distribution over a collective-noise channel. , 2003, Physical review letters.

[18]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[19]  Qiaoyan Wen,et al.  Comment II on "Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers" (3 pages) , 2005, quant-ph/0505052.

[20]  Su-Juan Qin,et al.  Comment on 'Two-way protocols for quantum cryptography with a nonmaximally entangled qubit pair' , 2010 .

[21]  Wen Qiao-Yan,et al.  Quantum blind signature based on Two-State Vector Formalism , 2010 .

[22]  Qiaoyan Wen,et al.  Comment on: “Quantum exam” [Phys. Lett. A 350 (2006) 174] , 2007 .

[23]  A. G. White,et al.  Experimental verification of decoherence-free subspaces. , 2000, Science.

[24]  T. Hwang,et al.  Improved QSDC Protocol over a Collective-Dephasing Noise Channel , 2012 .

[25]  Ying Sun,et al.  Improving the multiparty quantum secret sharing over two collective-noise channels against insider attack , 2010 .

[26]  Su-Juan Qin,et al.  Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger-Horne-Zeilinger state , 2010 .

[27]  Li Dong,et al.  Quantum key distribution protocols with six-photon states against collective noise , 2009 .

[28]  Chun-Wei Yang,et al.  Thwarting intercept-and-resend attack on Zhang’s quantum secret sharing using collective rotation noises , 2012, Quantum Inf. Process..

[29]  Qiao-Yan Wen,et al.  Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication , 2008 .

[30]  Kun Zhong,et al.  Deterministic secure quantum communication over a collective-noise channel , 2009 .

[31]  Gan Gao,et al.  Two quantum dialogue protocols without information leakage , 2010 .

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

[33]  Adan Cabello,et al.  Six-qubit permutation-based decoherence-free orthogonal basis , 2007, quant-ph/0702118.

[34]  Nguyen Ba An Quantum dialogue , 2004 .

[35]  Chun-Wei Yang,et al.  Enhancement on “quantum blind signature based on two-state vector formalism” , 2013, Quantum Inf. Process..

[36]  Guo-Fang Shi,et al.  Bidirectional quantum secure communication based on a shared private Bell state , 2009 .

[37]  H. Briegel,et al.  Experimental demonstration of five-photon entanglement and open-destination teleportation , 2004, Nature.

[38]  Xi-Han Li,et al.  Efficient quantum key distribution over a collective noise channel (6 pages) , 2008, 0808.0042.

[39]  Kaoru Shimizu,et al.  Two-way protocols for quantum cryptography with a nonmaximally entangled qubit pair , 2009 .

[40]  QiaoYan Wen,et al.  Quasi-secure quantum dialogue using single photons , 2007 .

[41]  Nguyen Ba An Quantum exam , 2006 .

[42]  Zhang Zhan-jun,et al.  Quantum dialogue revisited , 2005 .