Multiparty-controlled teleportation of an arbitrary m-qudit state with a pure entangled quantum channel

We present a general scheme for multiparty-controlled teleportation of an arbitrary m-qudit (d-dimensional quantum system) state by using non-maximally entangled states as the quantum channel. The sender performs m generalized Bell-state measurements on her 2m particles, the controllers take some single-particle measurements with the measuring basis Xd and the receiver only needs to introduce one auxiliary two-level particle to extract quantum information probabilistically with the fidelity unit if he cooperates with all the controllers. All the parties can use some decoy photons to set up their quantum channel securely, which will forbid a dishonest party to eavesdrop freely. This scheme is optimal as the probability that the receiver obtains the originally unknown m-qudit state equals the entanglement of the quantum channel.

[1]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[2]  Li-Yi Hsu,et al.  Optimal probabilistic teleportation of an unknown N-level qudit via information extraction , 2003 .

[3]  Chui-Ping Yang,et al.  Efficient many-party controlled teleportation of multiqubit quantum information via entanglement , 2004, quant-ph/0402138.

[4]  Zhang Shou,et al.  Secret sharing of quantum information via entanglement swapping , 2006 .

[5]  Fengli Yan,et al.  Probabilistic and controlled teleportation of unknown quantum states , 2003 .

[6]  Zhou Hong-Yu,et al.  Multiparty Quantum Secret Report , 2006 .

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

[8]  Hai-woong Lee.  Total teleportation of an entangled state , 2001, quant-ph/0104097.

[9]  Ping Zhou,et al.  Quantum secure direct communication network with superdense coding and decoy photons , 2007 .

[10]  Fuguo Deng.  Comment on "Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement" (2 pages) , 2005 .

[11]  G. Rigolin.  Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement , 2004, quant-ph/0407219.

[12]  Guang-Can Guo,et al.  Probabilistic teleportation of two-particle entangled state , 2000 .

[13]  Wang Yan,et al.  Secure Quantum Key Distribution Network with Bell States and Local Unitary Operations , 2005 .

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

[15]  Ping Zhou,et al.  Deterministic secure quantum communication without maximally entangled states , 2006 .

[16]  G. Long,et al.  Controlled order rearrangement encryption for quantum key distribution , 2003, quant-ph/0308172.

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

[18]  Fuguo Deng,et al.  Circular quantum secret sharing , 2006, quant-ph/0612018.

[19]  Chuan Wang,et al.  Multi-step quantum secure direct communication using multi-particle Green–Horne–Zeilinger state , 2005 .

[20]  Luca Marinatto,et al.  WHICH KIND OF TWO-PARTICLE STATES CAN BE TELEPORTED THROUGH A THREE-PARTICLE QUANTUM CHANNEL? , 2000 .

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

[22]  Fuguo Deng,et al.  Improving the security of multiparty quantum secret sharing against Trojan horse attack , 2005, quant-ph/0506194.

[23]  Fuguo Deng,et al.  Improving the security of secure direct communication based on the secret transmitting order of particles , 2006, quant-ph/0612016.

[24]  Fuguo Deng,et al.  Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement , 2005, quant-ph/0501129.

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

[26]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[27]  F. Schmidt-Kaler,et al.  Deterministic quantum teleportation with atoms , 2004, Nature.

[28]  Yan Feng-Li,et al.  Probabilistic Teleportation of Two-Particle State of General Formation* , 2002 .

[29]  Fuguo Deng,et al.  Reply to ``Comment on `Secure direct communication with a quantum one-time-pad' '' , 2004, quant-ph/0405177.

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

[31]  Ping Zhou,et al.  Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state , 2005, quant-ph/0511223.

[32]  Yan Feng-li,et al.  Probabilistic Teleportation of an Unknown Two-Particle State with a Four-Particle Pure Entangled State and Positive Operator Valued Measure , 2006 .

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

[34]  G. Long,et al.  Theoretically efficient high-capacity quantum-key-distribution scheme , 2000, quant-ph/0012056.

[35]  Fuguo Deng,et al.  Quantum secure direct communication with high-dimension quantum superdense coding , 2005 .

[36]  Fuguo Deng,et al.  Bidirectional quantum key distribution protocol with practical faint laser pulses , 2004 .

[37]  Guang-Can Guo,et al.  Probabilistic teleportation and entanglement matching , 2000 .

[38]  E. Knill,et al.  Deterministic quantum teleportation of atomic qubits , 2004, Nature.

[39]  Zhou Ping,et al.  Multiparty Quantum Remote Secret Conference , 2007 .

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

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

[42]  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.

[43]  Ping Zhou,et al.  Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements , 2006 .

[44]  Kai Wen,et al.  Modified Bennett-Brassard 1984 quantum key distribution protocol with two-way classical communications , 2005 .

[45]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[46]  Zhou Hong-Yu,et al.  Controlled Teleportation of an Arbitrary Multi-Qudit State in a General Form with d-Dimensional Greenberger Horne Zeilinger States , 2007 .

[47]  Guang-Can Guo,et al.  Teleportation of a two-particle entangled state via entanglement swapping , 2000 .

[48]  S. Stenholm,et al.  Teleportation of N-dimensional states , 1998 .

[49]  Guang-Can Guo,et al.  Multiparticle Generalization of Teleportation , 2000 .

[50]  Charles H. Bennett,et al.  Quantum cryptography without Bell's theorem. , 1992, Physical review letters.

[51]  Chen Pan,et al.  High-dimension multiparty quantum secret sharing scheme with Einstein–Podolsky–Rosen pairs , 2006 .

[52]  Fuguo Deng,et al.  Bidirectional quantum secret sharing and secret splitting with polarized single photons , 2005, quant-ph/0504119.

[53]  Deng Fu-Guo,et al.  Efficient Quantum Cryptography Network without Entanglement and Quantum Memory , 2006 .

[54]  Gilles Brassard,et al.  Quantum Cryptography , 2005, Encyclopedia of Cryptography and Security.

[55]  G. Guo,et al.  Optimal entanglement purification via entanglement swapping , 2000, quant-ph/0005125.

[56]  Gustavo Rigolin,et al.  Generalized quantum-state sharing , 2006 .

[57]  Li-Yi Hsu.  Optimal information extraction in probabilistic teleportation , 2002 .

[58]  Hong-Yu Zhou,et al.  An efficient quantum secret sharing scheme with Einstein–Podolsky–Rosen pairs , 2005 .