Deterministic Joint Remote Preparation of a Four-Qubit Cluster-Type State via GHZ States

A scheme for the deterministic joint remote preparation of a four-qubit cluster-type state using only two Greenberger-Horne-Zeilinger (GHZ) states as quantum channels is presented. In this scheme, the first sender performs a two-qubit projective measurement according to the real coefficient of the desired state. Then, the other sender utilizes the measurement result and the complex coefficient to perform another projective measurement. To obtain the desired state, the receiver applies appropriate unitary operations to his/her own two qubits and two CNOT operations to the two ancillary ones. Most interestingly, our scheme can achieve unit success probability, i.e., Psuc=1. Furthermore, comparison reveals that the efficiency is higher than that of most other analogous schemes.

[1]  Dongyang Long,et al.  Quantum Secure Direct Communication with Two-Photon Four-Qubit Cluster States , 2012 .

[2]  Chao Liu,et al.  Improved Deterministic N-To-One Joint Remote Preparation of an Arbitrary Qubit via EPR Pairs , 2014, 1405.6453.

[3]  You-Bang Zhan,et al.  Joint remote preparation of four-qubit cluster-type states , 2011 .

[4]  Kui Hou,et al.  Joint remote preparation of four-qubit cluster-type states with multiparty , 2013, Quantum Inf. Process..

[5]  C. H. Bennett,et al.  Remote state preparation. , 2000, Physical review letters.

[6]  Yu Zheng,et al.  Cryptanalysis and Improvement of Quantum Private Comparison Protocol Based on Bell Entangled States , 2014, 1405.6455.

[7]  Tinghuai Ma,et al.  Social Network and Tag Sources Based Augmenting Collaborative Recommender System , 2015, IEICE Trans. Inf. Syst..

[8]  G. X. Pan.  Remote preparation of three-particle GHZ-class states , 2010 .

[9]  Wenjie Liu,et al.  Secure Quantum Private Comparison of Equality Based on Asymmetric W State , 2013, 1312.5577.

[10]  Ping Zhou,et al.  Multiparty-controlled teleportation of an arbitrary GHZ-class state by using a d-dimensional (N+2)-particle nonmaximally entangled state as the quantum channel , 2011 .

[11]  N. An.  Joint remote preparation of a general two-qubit state , 2009 .

[12]  Nguyen Ba An,et al.  COLLECTIVE REMOTE STATE PREPARATION , 2008 .

[13]  Liu Yimin,et al.  Remote Preparation of Three-Particle GHZ Class States , 2008 .

[14]  Huantong Geng,et al.  Same Initial States Attack in Yang et al.’s Quantum Private Comparison Protocol and the Improvement , 2013, 1312.5562.

[15]  You-Bang Zhan,et al.  Deterministic remote preparation of arbitrary two- and three-qubit states , 2012 .

[16]  Charles H. Bennett,et al.  Quantum cryptography using any two nonorthogonal states. , 1992, Physical review letters.

[17]  William K. Wootters,et al.  Erratum: Remote State Preparation [Phys. Rev. Lett. 87, 077902 (2001)] , 2002 .

[18]  Mosayeb Naseri,et al.  Secure quantum sealed-bid auction , 2009 .

[19]  Cao Thi Bich,et al.  Joint remote preparation of four-qubit cluster-type states revisited , 2011 .

[20]  Dong Wang,et al.  Classical-Operation-Based Deterministic Secure Quantum Communication , 2014 .

[21]  Yan Xia,et al.  Multiparty remote state preparation , 2007 .

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

[23]  H. Lo.  Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity , 1999, quant-ph/9912009.

[24]  Yan Xia,et al.  Joint remote state preparation of a W-type state via W-type states , 2010 .

[25]  Liu Ye,et al.  Joint Remote Preparation of a Class of Four-Qubit Cluster-Like States with Tripartite Entanglements and Positive Operator-Valued Measurements , 2013 .

[26]  N. An.  Joint remote state preparation via W and W-type states , 2010 .

[27]  Zhihao Liu,et al.  Improvement on "an efficient protocol for the quantum private comparison of equality with W state" , 2014 .

[28]  Wang Xiaojun,et al.  Attacks and Improvement of Quantum Sealed-Bid Auction with EPR Pairs , 2014 .

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

[30]  Yong Xu,et al.  Multiparty quantum sealed-bid auction using single photons as message carrier , 2016, Quantum Inf. Process..

[31]  Zhiwei Sun,et al.  Quantum Private Comparison Protocol Based on Cluster States , 2013 .

[32]  Dong Wang,et al.  Joint remote state preparation of arbitrary two-qubit state with six-qubit state , 2011 .

[33]  Zhihua Xia,et al.  A Secure and Dynamic Multi-Keyword Ranked Search Scheme over Encrypted Cloud Data , 2016, IEEE Transactions on Parallel and Distributed Systems.

[34]  Dong Wang,et al.  Cryptanalysis and improvement of three-particle deterministic secure and high bit-rate direct quantum communication protocol , 2014, Quantum Inf. Process..

[35]  Liu Ye,et al.  Probabilistic Joint Remote Preparation of Four-Particle Cluster-Type States with Quaternate Partially Entangled Channels , 2012 .

[36]  Yan Xia,et al.  Joint remote preparation of an arbitrary three-qubit state via EPR-type pairs , 2011 .

[37]  Yixian Yang,et al.  Joint Remote Preparation of an Arbitrary Three-Qubit State with Mixed Resources , 2010, International Journal of Theoretical Physics.

[38]  Guihua Zeng,et al.  Joint remote state preparation of arbitrary two- and three-qubit states , 2011 .

[39]  Sam Kwong,et al.  Efficient Motion and Disparity Estimation Optimization for Low Complexity Multiview Video Coding , 2015, IEEE Transactions on Broadcasting.

[40]  A. Pati.  Minimum classical bit for remote preparation and measurement of a qubit , 1999, quant-ph/9907022.

[41]  Xiu Xiao-Ming,et al.  Quantum Secure Communication Using a Class of Three-Particle W State , 2008 .