Thwarting intercept-and-resend attack on Zhang’s quantum secret sharing using collective rotation noises

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).

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

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

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

[4]  X. B. Wang.  Fault tolerant quantum key distribution protocol with collective random unitary noise , 2004 .

[5]  Christian Kurtsiefer,et al.  Decoherence-free quantum information processing with four-photon entangled states. , 2004, Physical review letters.

[6]  Daniel A. Lidar,et al.  Protecting Quantum Information Encoded in Decoherence Free States Against Exchange Errors , 2000 .

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

[8]  Fuguo Deng,et al.  Faithful qubit transmission against collective noise without ancillary qubits , 2007, 0708.0068.

[9]  Daniel A. Lidar,et al.  Decoherence-Free Subspaces for Quantum Computation , 1998, quant-ph/9807004.

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

[11]  M. Teich,et al.  Decoherence-free subspaces in quantum key distribution. , 2003, Physical review letters.

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

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

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

[15]  Li Dong,et al.  Deterministic secure quantum communication against collective-dephasing noise by using EPR pairs and auxiliary photons , 2009 .

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

[17]  N Imoto,et al.  Faithful qubit distribution assisted by one additional qubit against collective noise. , 2005, Physical review letters.

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