Abstract
In this study, a new controlled quantum secure direct communication (CQSDC) protocol using the quantum search algorithm as the encoding function is proposed. The proposed protocol is based on the multi-particle Greenberger–Horne–Zeilinger entangled state and the one-step quantum transmission strategy. Due to the one-step transmission of qubits, the proposed protocol can be easily extended to a multi-controller environment, and is also free from the Trojan horse attacks. The analysis shows that the use of quantum search algorithm in the construction of CQSDC appears very promising.
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Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Rev. 41(2), 303–332 (1999)
Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79(2), 325 (1997)
Pang, C.-Y., Zhou, R.-G., Ding, C.-B., Hu, B.-Q.: Quantum search algorithm for set operation. Quantum Inf. Process. 12(1), 481–492 (2013)
Lomonaco, J., Samuel, J., Kauffman, L.: Is grover’s algorithm a quantum hidden subgroup algorithm? Quantum Inf. Process. 6(6), 461–476 (2007)
Sun, J., Lu, S., Liu, F.: Partial adiabatic quantum search algorithm and its extensions. Quantum Inf. Process. 12(8), 2689–2699 (2013)
Korepin, V., Grover, L.: Simple algorithm for partial quantum search. Quantum Inf. Process. 5(1), 5–10 (2006)
Deng, F.-G., Long, G.L., Liu, X.-S.: Two-step quantum direct communication protocol using the einstein-podolsky-rosen pair block. Phys. Rev. A 68(4), 042317 (2003)
Wang, J., Zhang, Q., Tang, C-j: Multiparty controlled quantum secure direct communication using greenberger–horne–zeilinger state. Opt. Commun. 266(2), 732–737 (2006)
Wang, C., Hao, L., Song, S.Y., Long, G.L.: Quantum direct communication based on quantum search algorithm. Int. J. Quantum Inf. 08(03), 443–450 (2010)
Tseng, H.-Y., Tsai, C.-W., Hwang, T.: Controlled deterministic secure quantum communication based on quantum search algorithm. Int. J. Theor. Phys. 51(8), 2447–2454 (2012)
Deng, F.-G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69(5), 052319 (2004)
Wang, C., Deng, F.-G., Li, Y.-S., Liu, X.-S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71(4), 044305 (2005)
Wang, C., Deng, F.G., Long, G.L.: Multi-step quantum secure direct communication using multi-particle green–horne–zeilinger state. Opt. Commun. 253(1–3), 15–20 (2005)
Li, X.-H., Li, C.-Y., Deng, F.G., Zhou, P., Liang, Y.-J., Zhou, H.-Y.: Quantum secure direct communication with quantum encryption based on pure entangled states. Chin. Phys. 16(8), 2149 (2007)
Deng, F.-G., Li, X.-H., Li, C.-Y., Zhou, P., Zhou, H.-Y.: Quantum secure direct communication network with einstein-podolsky-rosen pairs. Phys. Lett. A 359(5), 359–365 (2006)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65(3), 032302 (2002)
Long, G.-L., Deng, F.-G., Wang, C., Li, X.-H., Wen, K., Wang, W.-Y.: Quantum secure direct communication and deterministic secure quantum communication. Front. Phys. China 2(3), 251–272 (2007)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65(3), 032302 (2002)
Hwang, T., Li, C.-M., Lee, N.-Y.: Secure direct communication using deterministic bb84 protocol. Int. J. Mod. Phys. C 19(4), 625–635 (2008)
Yang, C.-W., Tsai, C.-W., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises. Sci. China Phys. Mech. Astron. 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)
Xia, Y.-J., Man, Z.-X.: Controlled quantum n -party simultaneous direct communication. Commun. Theor. Phys. 48(1), 79 (2007)
Chen, X.-B., Wang, T.-Y., Du, J.-Z., Wen, Q.-Y., Zhu, F.-C.: Controlled quantum secure direct communication with quantum encryption. Int. J. Quantum Inf. 6(3), 543–551 (2008)
Xiu, X.-M., Dong, L., Gao, Y.-J., Chi, F.: Controlled deterministic secure quantum communication using five-qubit entangled states and two-step security test. Opt. Commun. 282(2), 333–337 (2009)
Deng, F.-G., Li, X.-H., Zhou, H.-Y., Zhang, Z-j: Improving the security of multiparty quantum secret sharing against Trojan Horse attack. Phys. Rev. A 72(4), 044302 (2005)
Cai, Q.-Y.: Eavesdropping on the two-way quantum communication protocols with invisible photons. Phys. Lett. A 351(1–2), 23–25 (2006)
Chong, S.-K., Luo, Y.-P., Hwang, T.: On arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 284(3), 893–895 (2011)
Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Improving the security of secure direct communication based on the secret transmitting order of particles. Phys. Rev. A 74(5), 054302 (2006)
Li, C.-Y., Li, X.-H., Deng, F.-G., Zhou, P., Liang, Y.-J., Zhou, H.-Y.: Efficient quantum cryptography network without entanglement and quantum memory. Chin. Phys. Lett. 23(11), 2896 (2006)
Li, C.-Y., Zhou, H.-Y., Wang, Y., Deng, F.-G.: Secure quantum key distribution network with bell states and local unitary operations. Chin. Phys. Lett. 22(5), 1049 (2005)
Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299(5886), 802–803 (1982)
Gao, F., Guo, F., Wen, Q., Zhu, F.: Comparing the efficiencies of different detect strategies in the ping-pong protocol. Sci. China Ser. G Phys. Mech. Astron. 51(12), 1853–1860 (2008)
Wang, T.-Y., Wen, Q.-Y., Zhu, F.-C.: Secure authentication of classical messages with single photons. Chin. Phys. B 18(8), 3189 (2009)
Lin, J., Hwang, T.: New circular quantum secret sharing for remote agents. Quantum Inf. Process. 12(1), 685–697 (2013)
Yang, C.-W., Hwang, T., Luo, Y.-P.: Enhancement on quantum blind signature based on two-state vector formalism. Quantum Inf. Process. 12(1), 109–117 (2013)
Acknowledgments
The authors would like to thank the anonymous reviewers for their valuable comments, which greatly enhanced the clarity of this paper. This research is partially supported by the National Science Council, Taiwan, R.O.C., under the Contract No. NSC 100-2221-E-006-152-MY3.
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Kao, SH., Hwang, T. Multiparty controlled quantum secure direct communication based on quantum search algorithm. Quantum Inf Process 12, 3791–3805 (2013). https://doi.org/10.1007/s11128-013-0636-3
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DOI: https://doi.org/10.1007/s11128-013-0636-3