Efficient schemes for deterministic joint remote preparation of an arbitrary four-qubit W-type entangled state

We present three schemes for the joint remote state preparation (JRSP) of an arbitrary four-qubit W-type entangled state with complex coefficients via four and two three-qubit GHZ states as the quantum channel. In these schemes, two senders (or N senders) share the original state which they wish to help the receiver to remotely prepare. To complete the JRSP schemes, some novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if two senders (or N senders) collaborate with each other, and perform projective measurements under suitable measuring basis on their own qubits, the receiver can reconstruct the original state by means of some appropriate unitary operations. It is shown that, in all our schemes, the total success probability of the JRSP can reach 1. Specially, compared with the first scheme in our paper, the entanglement resource in the second scheme can be reduced. This means that the scheme is more efficient and economical.

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

[2]  Binayak S. Choudhury,et al.  Joint remote state preparation for two-qubit equatorial states , 2015, Quantum Inf. Process..

[3]  M. Luo,et al.  Deterministic remote preparation of an arbitrary W-class state with multiparty , 2010 .

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

[5]  Li Jian,et al.  Determinate joint remote preparation of an arbitrary W-class quantum state , 2012 .

[6]  Zhi-Wen Mo,et al.  Joint Remote Preparation of an Arbitrary Five-Qubit Brown State , 2013 .

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

[8]  P. Hayden,et al.  Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication , 2003, quant-ph/0308143.

[9]  You-Bang Zhan,et al.  Scheme for remotely preparing a four-particle entangled cluster-type state , 2010 .

[10]  Yan Xia,et al.  Joint Remote Preparation of a General Three-Qubit State via Non-maximally GHZ States , 2012 .

[11]  Zach DeVito,et al.  Opt , 2017 .

[12]  H. Weinfurter,et al.  Remote preparation of an atomic quantum memory , 2007, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

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

[14]  Frank Jiang,et al.  Deterministic joint remote preparation of arbitrary multi-qudit states , 2013 .

[15]  Debbie W Leung,et al.  Oblivious remote state preparation. , 2003, Physical review letters.

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

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

[18]  Yan Xia,et al.  Joint remote preparation of an arbitrary two-qubit state via a generalized seven-qubit brown state , 2015 .

[19]  Wang Yuan,et al.  Deterministic joint remote state preparation of arbitrary two- and three-qubit states , 2013 .

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

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

[22]  B. Zeng,et al.  Remote-state preparation in higher dimension and the parallelizable manifold Sn-1 , 2001, quant-ph/0105088.

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

[24]  Dong Wang,et al.  Efficient and faithful remote preparation of arbitrary three- and four-particle $$W$$W-class entangled states , 2015, Quantum Inf. Process..

[25]  S. A. Babichev,et al.  Remote preparation of a single-mode photonic qubit by measuring field quadrature noise. , 2003, Physical review letters.

[26]  G. Long,et al.  Dynamical decoupling method for the suppression of decoherence of the Δ-type three-level atom with finite control pulse length , 2008 .

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

[28]  Cheng-Zu Li,et al.  Deterministic remote preparation of pure and mixed polarization states , 2009, 0909.2570.

[29]  Z. Kurucz,et al.  Continuous variable remote state preparation , 2005, quant-ph/0510074.

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

[31]  G. Guo,et al.  Faithful remote state preparation using finite classical bits and a nonmaximally entangled state , 2003, quant-ph/0307027.

[32]  Xin-Wei Zha,et al.  Two schemes of remote preparation of a four-particle entangled W state via a six-qubit maximally entangled state , 2011 .

[33]  Jin-Ming Liu,et al.  Remote preparation of arbitrary two- and three-qubit states , 2009 .

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

[35]  B. Sanders,et al.  Optimal remote state preparation. , 2002, Physical review letters.

[36]  M. Paris,et al.  Remote state preparation and teleportation in phase space , 2002, quant-ph/0209168.

[37]  You-Bang Zhan,et al.  Deterministic Remote Preparation of a Four-Qubit Cluster-Type Entangled State , 2013 .

[38]  Kui Hou,et al.  Joint remote preparation of an arbitrary two-qubit state via GHZ-type states , 2011 .

[39]  A. Hayashi,et al.  Remote state preparation without oblivious conditions , 2002, quant-ph/0205009.

[40]  Yuan Ping,et al.  Joint Remote Preparation of an Arbitrary Three-Qubit State with Mixed Resources , 2013 .

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

[42]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[43]  M. Goggin,et al.  Remote state preparation: arbitrary remote control of photon polarization. , 2005, Physical review letters.

[44]  Fei Yan,et al.  Deterministic Remote Preparation of a Four-particle Entangled W State , 2015 .

[45]  Jie Song,et al.  Deterministic joint remote preparation of an arbitrary three-qubit state via EPR pairs , 2012 .

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

[47]  T. Berger,et al.  Low-entanglement remote state preparation. , 2001, Physical review letters.

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

[49]  K. Gao,et al.  Experimental implementation of remote state preparation by nuclear magnetic resonance , 2002, quant-ph/0202004.

[50]  Zhang Ming,et al.  Probabilistic Remote Preparation of a Four-Particle Entangled W State for the General Case and for All Kinds of the Special Cases ∗ , 2013 .

[51]  G. Guo,et al.  Remote preparation of mixed states via noisy entanglement (6 pages) , 2005, quant-ph/0503088.

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