Abstract
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.
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References
Nguyen, B.: Quantum dialogue. Phys. Lett. A 328(1), 6–10 (2004)
Man, Z.X., Zhang, Z.J., Li, Y.: Quantum dialogue revisited. Chinese Phys. Lett. 22(1), 22–24 (2005)
Man, Z.X., Xia, Y.J., Zhang, Z.J.: Secure deterministic bidirectional communication without entanglement. Int. J. Quantum Inf. 4(4), 739–746 (2006)
Yang, Y., Wen, Q.: Quasi-secure quantum dialogue using single photons. Sci. China Ser. G 50(5), 558–562 (2007)
Gao, F., Guo, F., Wen, Q., Zhu, F.: Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication. Sci. China Ser. G 51(5), 559–566 (2008)
Shi, G.-F., Xi, X.-Q., Tian, X.-L., Yue, R.-H.: Bidirectional quantum secure communication based on a shared private Bell state. Opt. Commun. 282(12), 2460–2463 (2009)
Gao, G.: Two quantum dialogue protocols without information leakage. Opt. Commun. 283(10), 2288–2293 (2010)
Li, X.H., Deng, F.G., Zhou, H.Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78(2), 022321 (2008)
Yang, C.-W., Tsai, C.-W., Hwang, T.: Thwarting intercept-and-resend attack on Zhang’s quantum secret sharing using collective rotation noises. Quantum Inf. Process. 11(1), 113–122 (2012)
Zanardi, P., Rasetti, M.: Noiseless quantum codes. Phys. Rev. Lett. 79(17), 3306 (1997)
Knill, E., Laflamme, R., Viola, L.: Theory of quantum error correction for general noise. Phys. Rev. Lett. 84(11), 2525 (2000)
Kwiat, P.G., Berglund, A.J., Altepeter, J.B., White, A.G.: Experimental verification of decoherence-free subspaces. Science 290(5491), 498–501 (2000)
Kempe, J., Bacon, D., Lidar, D., Whaley, K.: Theory of decoherence-free fault-tolerant universal quantum computation. Phys. Rev. A 63(4), 042307 (2001)
Boileau, J.C., Gottesman, D., Laflamme, R., Poulin, D., Spekkens, R.W.: Robust polarization-based quantum key distribution over a collective-noise channel. Phys. Rev. Lett. 92(1), 017901 (2004)
Zhang, Z.J.: Robust multiparty quantum secret key sharing over two collective-noise channels. Phys. A 361(1), 233–238 (2006)
Cabello, A.: Six-qubit permutation-based decoherence-free orthogonal basis. Phys. Rev. A 75(2), 020301 (2007)
Sun, Y., Wen, Q.Y., Gao, F., Zhu, F.C.: Robust variations of the Bennett-Brassard 1984 protocol against collective noise. Phys. Rev. A 80(3), 032321 (2009)
Gu, B., Pei, S.X., Song, B., Zhong, K.: Deterministic secure quantum communication over a collective-noise channel. Sci. China Ser. G 52(12), 1913–1918 (2009)
Li, X.H., Zhao, B.K., Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Fault tolerant quantum key distribution based on quantum dense coding with collective noise. Int. J. Quantum Inf. 7(8), 1479–1489 (2009)
Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Quantum key distribution protocols with six-photon states against collective noise. Opt. Commun. 282(20), 4171–4174 (2009)
Sun, Y., Wen, Q.Y., Zhu, F.C.: Improving the multiparty quantum secret sharing over two collective-noise channels against insider attack. Opt. Commun. 283(1), 181–183 (2010)
Gu, B., Mu, L.L., Ding, L.G., Zhang, C.Y., Li, C.Q.: Fault tolerant three-party quantum secret sharing against collective noise. Opt. Commun. 283(15), 3099–3103 (2010)
Yang, C.-W., Tsai, C.-W., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises. Sci. China Phys. 54(3), 496–501 (2011)
Yang, C.-W., Hwang, T.: Improved QSDC protocol over a collective-dephasing noise channel. Int. J. Theor. Phys. 51(12), 3941–3950 (2012)
Zhao, Z., Chen, Y.-A., Zhang, A.-N., Yang, T., Briegel, H.J., Pan, J.-W.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430(6995), 54–58 (2004)
Hwang, T., Hwang, C.-C., Yang, C.-W., Li, C.-M.: Revisiting Deng et al’.s Multiparty Quantum Secret Sharing Protocol. Int. J. Theor. Phys. 50(9), 2790–2798 (2011)
Yang, C.-W., Hwang, T., Luo, Y.-P.: Enhancement on “Quantum blind signature based on two-state vector formalism”. Quantum Inf. Process. doi:10.1007/s11128-012-0362-2 (2012)
Shannon, C.E.: Communication theory of secrecy system. Bell Syst. Tech. J. 28, 656–715 (1949)
Bennett, C. H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. In: Presented at the Proceedings of IEEE International Conference on Computers Systems and Signal Processing, Bangalore, India (1984)
Gao, F., Wen, Q.-Y., Zhu, F.-C.: Comment on: “Quantum exam” [Phys. Lett. A 350 (2006) 174]. Phys. Lett. A 360(6), 748–750 (2007)
Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on “Quantum key distribution for d-level systems with generalized Bell states”. Phys. Rev. A 72(6), 066301 (2005)
Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on “Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers”. Phys. Rev. A 72(3), 036302 (2005)
Qin, S.-J., Gao, F., Guo, F.-Z., Wen, Q.-Y.: Comment on “Two-way protocols for quantum cryptography with a nonmaximally entangled qubit pair”. Phys. Rev. A 82(3), 036301 (2010)
Gao, F., Lin, S., Wen, Q.-Y., Zhu, F.-C.: A special eavesdropping on one-sender versus N-receiver QSDC protocol. Chinese Phys. Lett. 25(5), 1561 (2008)
Gao, F., Qin, S.-J., Wen, Q.-Y., Zhu, F.-C.: Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger-Horne-Zeilinger state. Opt. Commun. 283(1), 192–195 (2010)
Qin, S.-J., Gao, F., Wen, Q.-Y., Meng, L.-M., Zhu, F.-C.: Cryptanalysis and improvement of a secure quantum sealed-bid auction. Opt. Commun. 282(19), 4014–4016 (2009)
Acknowledgments
We would like to thank the anonymous reviewers for their very valuable comments, which greatly enhanced the clarity of this paper. We would also like to thank the National Science Council of Republic of China, for the financial support of this research under Contract No. NSC 100-2221-E-006-152-MY3.
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Yang, CW., Hwang, T. Quantum dialogue protocols immune to collective noise. Quantum Inf Process 12, 2131–2142 (2013). https://doi.org/10.1007/s11128-012-0514-4
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DOI: https://doi.org/10.1007/s11128-012-0514-4