Hierarchical Quantum Information Splitting with Six-Photon Cluster States

We propose a scheme for hierarchical quantum information splitting with the recently realized six-photon cluster state (Lu et al. in Nat. Phys. 3:91, 2007), where a Boss distributes a quantum secret (quantum state) to five distant agents who are divided into two grades. Two agents are in the upper grade and three agents are in the lower grade. An agent of the upper grade only needs the collaboration of two of the other four agents for getting the secret, while an agent of the lower grade needs the collaboration of all the other four agents. In other words, the agents of two grades have different authorities to recover Boss’s secret.

[1]  Min Xie,et al.  Simple schemes for quantum information processing with W-type entanglement , 2009, Quantum Inf. Process..

[2]  Hideki Imai,et al.  Improving quantum secret-sharing schemes , 2001 .

[3]  P. Panigrahi,et al.  Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state , 2007, 0708.3785.

[4]  Barry C. Sanders,et al.  Erratum: Graph states for quantum secret sharing [Phys. Rev. A 78, 042309 (2008)] , 2011 .

[5]  Xin-Wen Wang,et al.  Controlled teleportation against uncooperation of part of supervisors , 2009, Quantum Inf. Process..

[6]  H. Briegel,et al.  Persistent entanglement in arrays of interacting particles. , 2000, Physical review letters.

[7]  Kui Hou,et al.  Quantum state sharing with a genuinely entangled five-qubit state and Bell-state measurements , 2010 .

[8]  P. Panigrahi,et al.  Quantum-information splitting using multipartite cluster states , 2008, 0802.0781.

[9]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[10]  Jian-Wei Pan,et al.  Experimental entanglement of six photons in graph states , 2006, quant-ph/0609130.

[11]  Zhong-Xiao Man,et al.  Quantum state sharing of an arbitrary multiqubit state using nonmaximally entangled GHZ states , 2007 .

[12]  Fuguo Deng,et al.  Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs (4 pages) , 2005, quant-ph/0504158.

[14]  Barry C. Sanders,et al.  Continuous-variable quantum-state sharing via quantum disentanglement , 2004, quant-ph/0411191.

[15]  Stephen Wiesner,et al.  Conjugate coding , 1983, SIGA.

[16]  Dong Wang,et al.  Generalized quantum state sharing of arbitrary unknown two-qubit state , 2007 .

[17]  H. Briegel,et al.  Experimental demonstration of five-photon entanglement and open-destination teleportation , 2004, Nature.

[18]  Jie Wu,et al.  Symmetric and Probabilistic Quantum State Sharing via Positive Operator-valued Measure , 2010 .

[19]  Chi-Yee Cheung,et al.  Minimal classical communication and measurement complexity for quantum information splitting , 2008, 0812.4214.

[20]  Shi-Biao Zheng Splitting quantum information via W states , 2006 .

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

[22]  Xin-Wen Wang,et al.  Dense coding and teleportation with one-dimensional cluster states , 2007 .

[23]  Dong Yang,et al.  Experimental free-space quantum teleportation , 2010 .

[24]  Xiu Xiao-Ming,et al.  A Theoretical Scheme for Multiparty Multi-particle State Sharing , 2008 .

[25]  Run-hua Shi,et al.  Efficient multi-party quantum state sharing of an arbitrary two-qubit state , 2010 .

[26]  Zhan-jun Zhang,et al.  Criterion for faithful teleportation with an arbitrary multiparticle channel , 2009, 0901.2784.

[27]  Yu-Bo Sheng,et al.  Efficient and economic five-party quantum state sharing of an arbitrary m-qubit state , 2008, 1005.0034.

[28]  Li-Xin Xia,et al.  Hierarchical quantum-information splitting , 2009, 0906.0826.

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

[30]  Zhan-Jun Zhang,et al.  Generalized Multiparty Quantum Single-Qutrit-State Sharing , 2008 .

[31]  Mikio Nakahara,et al.  Economical (k,m) -threshold controlled quantum teleportation , 2009, 0901.2674.

[32]  W. Wootters,et al.  A single quantum cannot be cloned , 1982, Nature.

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

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

[35]  M. Bourennane,et al.  Quantum teleportation using three-particle entanglement , 1998 .

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

[37]  D. Markham,et al.  Graph states for quantum secret sharing , 2008, 0808.1532.

[38]  Philip Walther,et al.  Experimental realization of a photonic Bell-state analyzer , 2005 .