Joint Remote Preparation of an Arbitrary Three-Qubit State with Mixed Resources

Our purpose in this paper is, by constructing some useful measurement bases, to show that two senders can jointly prepare an arbitrary three-qubit state to a remote receiver via some shared mixed resources. Then, the success probability can be improved by using the permutation group to classify the preparation state. Furthermore, this scheme can be extended to multiple senders, or prepare four-qubit |χ〉 and five-qubit Brown state.

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

[2]  P. Cameron.  Permutation groups , 1996 .

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

[4]  H. Weinfurter,et al.  Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement , 2000, Nature.

[5]  Jie Song,et al.  MULTIPARTY REMOTE STATE PREPARATION WITH LINEAR OPTICAL ELEMENTS , 2008 .

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

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

[8]  E. Knill,et al.  Complete quantum teleportation using nuclear magnetic resonance , 1998, Nature.

[9]  K. Audenaert,et al.  Entanglement cost under positive-partial-transpose-preserving operations. , 2003, Physical review letters.

[10]  Jinhyoung Lee,et al.  Quantum-information processing for a coherent superposition state via a mixedentangled coherent channel , 2001, quant-ph/0104090.

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

[12]  S. Stepney,et al.  Searching for highly entangled multi-qubit states , 2005 .

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

[14]  Peter J. Cameron,et al.  Permutation Groups: Frontmatter , 1999 .

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

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

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

[18]  Y. Yeo,et al.  Teleportation and dense coding with genuine multipartite entanglement. , 2005, Physical review letters.

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

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

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

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

[23]  Yun Deng,et al.  Joint Remote Preparation of an Arbitrary 4-Qubit χ-State , 2012 .

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

[25]  Qiaoyan Wen,et al.  Quantum circuits for controlled teleportation of two-particle entanglement via a W state , 2008 .

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

[27]  A. Acín.  Statistical distinguishability between unitary operations. , 2001, Physical review letters.

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

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

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

[31]  Soonchil Lee,et al.  Fidelity of quantum teleportation through noisy channels , 2002 .

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