Generalized tripartite scheme for sharing arbitrary 2n-qudit state

Utilizing three non-maximally entangled qutrit pairs as quantum channels, we first propose a generalized tripartite scheme for sharing an arbitrary two-qutrit state with generalized Bell-state measurements. In the scheme if and only if the two recipients collaborate together, they can recover the split qutrit state with the probability determined uniquely by the smallest coefficients of the non-maximally entangled pairs. Afterwards, we further extend the scheme for sharing an arbitrary 2n-qudit state by taking 3n non-maximally entangled qudit pairs as quantum channels. Moreover, the scheme success probability relative to the inherent entanglement in quantum channels and its structure is simply discussed.

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

[2]  Jiahua Li,et al.  Efficient scheme for multipartite entanglement and quantum information processing with trapped ions , 2005 .

[3]  Gao Ting,et al.  Quantum secret sharing between multiparty and multiparty with four states , 2007 .

[4]  Zeng Gui-Hua,et al.  Four-Party Quantum Broadcast Scheme Based on Aharonov State , 2008 .

[5]  H. Weinfurter,et al.  Experimental demonstration of four-party quantum secret sharing. , 2006, Physical review letters.

[6]  Xue-Qin Zuo,et al.  QUANTUM INFORMATION SPLITTING OF TWO-QUBIT STATE WITH MINIMAL CLASSICAL COMMUNICATION AND MEASUREMENT COMPLEXITY , 2008 .

[7]  Zhan-Jun Zhang,et al.  Splitting a qudit state via Greenberger-Horne-Zeilinger states of qubits , 2010 .

[8]  Xue-Qin Zuo,et al.  Bisplitting an Arbitrary N-Qubit State with a Class of Asymmetric Three-Qubit W States , 2009 .

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

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

[11]  Xue-Qin Zuo,et al.  MINIMAL CLASSICAL COMMUNICATION COST AND MEASUREMENT COMPLEXITY IN SPLITTING TWO-QUBIT QUANTUM INFORMATION VIA ASYMMETRIC W STATES , 2008 .

[12]  Liu Yimin,et al.  Generalized Quantum Two-Qutrit-State Splitting , 2008 .

[13]  Xue-Qin Zuo,et al.  Generalized Scheme for Splitting Arbitrary 2-Qubit State with Three 2-Qubit Entangled States , 2009 .

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

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

[16]  Adi Shamir,et al.  How to share a secret , 1979, CACM.

[17]  Ziyun Zhang,et al.  Splitting four ensembles of two-qubit quantum information via three Einstein-Podolsky-Rosen pairs , 2009 .

[18]  Andrzej Grudka,et al.  Nonmaximally entangled states can be better for multiple linear optical teleportation. , 2008, Physical review letters.

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

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

[21]  Zhan-jun Zhang.  Multiparty secret sharing of quantum information via cavity QED , 2006 .

[22]  X. Yin,et al.  A QUANTUM SPLITTING SCHEME OF ARBITRARY TWO-QUBIT STATE USING FOUR-QUBIT CLUSTER STATE , 2008 .

[23]  Fengli Yan,et al.  Chain teleportation via partially entangled states , 2009, 0903.1422.

[24]  Yi-Min Liu,et al.  TRIPARTITION OF ARBITRARY SINGLE-QUBIT QUANTUM INFORMATION BY USING ASYMMETRIC FOUR-QUBIT W STATE , 2009 .

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

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

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

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

[29]  Charles H. Bennett,et al.  Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.

[30]  L. Hsu,et al.  Quantum secret sharing using product states , 2005 .

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

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

[33]  Ekert,et al.  "Event-ready-detectors" Bell experiment via entanglement swapping. , 1993, Physical review letters.

[34]  Ai-Xi Chen,et al.  Encryption and Decryption for Quantum Secret Sharing Protocol with Hot Trapped Ions , 2008 .

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

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

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

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

[39]  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.

[40]  Ting Gao,et al.  Quantum secret sharing between m-party and n-party with six states , 2009 .

[41]  Jian-Wei Pan,et al.  Experimental quantum secret sharing and third-man quantum cryptography. , 2005, Physical review letters.

[42]  Yi-min Liu,et al.  Simpler criterion on W state for perfect quantum state splitting and quantum teleportation , 2009 .

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

[44]  Anthony Chefles,et al.  Unambiguous discrimination between linearly independent quantum states , 1998, quant-ph/9807022.

[45]  Arun K. Pati,et al.  Probabilistic Quantum Teleportation , 2002, quant-ph/0210004.

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

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

[48]  Zhan-jun Zhang,et al.  Reply to 'Comment on 'Multiparty quantum secret sharing of classical messages based on entanglement swapping'' , 2007 .

[49]  Zhanjun Zhang,et al.  Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing , 2008 .