Abstract
This work deliberately introduces collective-rotation noise into quantum states to prevent an intercept-resend attack on Zhang’s quantum secret sharing scheme over a collective-noise quantum channel (Zhang in Phys A 361:233–238, 2006). The noise recovering capability of the scheme remains intact. With this design, the quantum bit efficiency of the protocol is doubled when compared to Sun et al.’s improvement on Zhang’s scheme (Sun et al. in Opt Commun 283:181–183, 2010).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, pp. 175–179 (1984)
Dong L., Xiu X.M., Gao Y.J., Chi F.: Deterministic secure quantum communication against collective-dephasing noise by using EPR pairs and auxiliary photons. Opt. Commun. 282, 1688–1690 (2009)
Li X.H., Deng F.G., Zhou H.Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78, 022321 (2008)
Xiu X.M., Dong L., Gao Y.J., Chi F.: Quantum key distribution protocols with six-photon states against collective noise. Opt. Commun. 282, 4171–4174 (2009)
Zanardi P., Rasstti M.: Noiseless quantum codes. Phys. Rev. Lett. 79, 3306–3309 (1997)
Knill E., Laflamme R., Viola L.: Theory of quantum error correction for general noise. Phys. Rev. Lett. 84, 2525–2528 (2000)
Kempe J., Bacon D., Lidar D.A., Whaley K.B.: Theory of decoherence-free fault-tolerant universal quantum computation. Phys. Rev. A 63, 042307 (2001)
Lidar D.A., Chuang I.L., Whaley K.B.: Decoherence-free subspaces for quantum computation. Phys. Rev. Lett. 81, 2594–2597 (1998)
Lidar D.A., Bacon D., Kempe J., Whaley K.B.: Protecting quantum information encoded in decoherence-free states against exchange errors. Phys. Rev. A 61, 052307 (2000)
Walton Z.D., Abouraddy A.F., Sergienko A.V., Saleh B.E.A., Teich M.C.: Decoherence-free subspaces in quantum key distribution. Phys. Rev. Lett. 91, 087901 (2003)
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, 017901 (2004)
Bourennane M., Eibl M., Gaertner S., Kurtsiefer C.: Decoherence-free quantum information processing with four-photon entangled states. Phys. Rev. Lett. 92, 107901 (2004)
Yamamoto T., Shimamura J., Ozdemir S.K., Koashi M., Imoto N.: Faithful qubit distribution assisted by one additional qubit against collective noise. Phys. Rev. Lett. 95, 040503 (2005)
Wang X.B.: Fault tolerant quantum key distribution protocol with collective random unitary noise. Phys. Rev. A 72, 050304(R) (2005)
Zhang Z.J.: Robust multiparty quantum secret key sharing over two collective-noise channels. Phys. A 361, 233–238 (2006)
Li X.H., Deng F.G., Zhou H.Y.: Faithful qubit transmission against collective noise without ancillary qubits. Appl. Phys. Lett. 91, 144101 (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, 032321 (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, 181–183 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, CW., Tsai, CW. & Hwang, T. Thwarting intercept-and-resend attack on Zhang’s quantum secret sharing using collective rotation noises. Quantum Inf Process 11, 113–122 (2012). https://doi.org/10.1007/s11128-011-0236-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-011-0236-z