Multiparty quantum secret sharing based on the improved Boström–Felbinger protocol

Abstract Based on the famous quantum secure direct communication protocol (i.e., the Bostrom–Felbinger protocol) [Phys. Rev. Lett. 89 (2002) 187902] and its improvements, we propose a scheme of multiparty quantum secret sharing of classical messages (QSSCM), in which no subset of all the classical message receivers is sufficient to extract the sender’s secret classical messages but all the parties cooperate together. Then we take advantage of this multiparty QSSCM scheme to establish a scheme of multiparty secret sharing of quantum information (SSQI), in which the unknown quantum state in the sender’s qubit can be reconstructed in one receiver’s qubit if and only if all the quantum information receivers collaborate together.

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

[2]  Fuguo Deng,et al.  Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block , 2003, quant-ph/0308173.

[3]  Zhan-jun Zhang,et al.  Improved Wójcik's eavesdropping attack on ping-pong protocol without eavesdropping-induced channel loss , 2004, quant-ph/0411030.

[4]  H. Chau Practical scheme to share a secret key through a quantum channel with a 27.6% bit error rate , 2002 .

[5]  M. Koashi,et al.  Quantum entanglement for secret sharing and secret splitting , 1999 .

[6]  Jian-Wei Pan,et al.  Efficient multiparty quantum-secret-sharing schemes , 2004, quant-ph/0405179.

[7]  Z. Man,et al.  Multiparty quantum secret sharing of classical messages based on entanglement swapping , 2004, quant-ph/0406103.

[8]  Z. Man,et al.  Multiparty secret sharing of quantum information using and identifying Bell states , 2005 .

[9]  S. Bandyopadhyay Teleportation and secret sharing with pure entangled states , 2000, quant-ph/0002032.

[10]  Guang-Can Guo,et al.  Quantum secret sharing without entanglement , 2002 .

[11]  Zhan-Jun Zhang,et al.  Multiparty quantum secret sharing of secure direct communication , 2005 .

[12]  V. Karimipour,et al.  Entanglement swapping of generalized cat states and secret sharing , 2001, quant-ph/0112050.

[13]  Zhan-jun Zhang,et al.  Improving Wojcik's eavesdropping attack on the ping-pong protocol , 2004 .

[14]  Y. Shih,et al.  Quantum teleportation with a complete Bell state measurement , 2000, Physical Review Letters.

[15]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[16]  Zhan-jun Zhang,et al.  Multiparty quantum secret sharing , 2004, quant-ph/0412203.

[17]  K. Peng,et al.  Multiparty secret sharing of quantum information based on entanglement swapping , 2004 .

[18]  K. Boström,et al.  Deterministic secure direct communication using entanglement. , 2002, Physical review letters.

[19]  D. Gottesman Theory of quantum secret sharing , 1999, quant-ph/9910067.

[20]  R. Cleve,et al.  HOW TO SHARE A QUANTUM SECRET , 1999, quant-ph/9901025.

[21]  Jozef Gruska Foundations of Computing , 1997 .

[22]  L. Hsu Quantum secret-sharing protocol based on Grover's algorithm , 2003 .

[23]  W. Bowen,et al.  Tripartite quantum state sharing. , 2003, Physical review letters.

[24]  Zhan-jun Zhang,et al.  The improved Bostrom-Felbinger protocol against attacks without eavesdropping , 2004 .

[25]  N. Gisin,et al.  Experimental demonstration of quantum secret sharing , 2001 .

[26]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[27]  Antoni Wójcik Eavesdropping on the "ping-pong" quantum communication protocol. , 2003, Physical review letters.