Remote preparation of arbitrary two-qubit state

Abstract

Abstract:

Inspired by the idea of Wang and Yans’, i.e., a two-step exact remote state preparation (RSP) of an arbitrary qubit, we study the remote preparation of arbitrary two-qubit state. In our scheme, two non-maximally entangled GHZ state act as quantum channels. The sender Alice divides the full information encoded in known state into two parts, one purely real coefficients and the other purely real phase factor. After twice projective measurements and the transmission of 4-bit classical information by Alice, the remote receiver Bob can obtain the desired state with the success probability 4Ιβγ²Ι which is higher than that in Liu’s protocol and it is also the advantage of our scheme, because only two-qubit state in real Hilbert space or equatorial-like state can reach this success probability value in Liu’s protocol.

Key words: q quantum optics, remote state preparation, GHZ state

CLC Number:

O431.2

SHI Guofang. Remote preparation of arbitrary two-qubit state[J]. J4, 2011, 28(4): 414-419.

References

[1] Bennett.C.H, Brassard.G, Crepeau.C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels[J]. Physical Review Letters, 1993, 70:1895-1899
[2] Karlsson A, Bourennane M, Quantum teleportation using three-particle entanglement [J]. Physical Review A , 1998, 58 4394-4400
[3] Li W L, Li C F, Guo G C. Probabilistic teleportation and entanglement matching [J]. Physical Review A , 2000, 61 034301
[4] Yeo Y. Chua W K. Teleportation and dense coding with genuine multipartite entanglement [J]. Physical Review Letters, 2006, 96 060502
[5] Bouwmeester D, Pan J W, Mattle K, et al. Experimental quantum teleportation. Nature [J].1997, 390 575
[6]Boschi D, Branca S, Martini F D,et al. Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels [J].
Physical Review Letters, 1998, 80:1121-1125
[7] Lee J, Kim M S. Entanglement teleportation via Werner state[J].Physical Review Letters, 2000, 84 4236-4239
[8] Cao Z L Song W. Teleportation of two-particle entangled state via W class states[J]. Physica A, 2005, 347 177-183
[9] Furusawa A, S?rensen J L, Braunstein S L, et al. Unconditional quantum teleportation[J]. Science, 1998, 282 706.
[10] Lo H K. Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity[J].
Physical Review A, 2000, 62 012313
[11] Pati A K. Minimum classical bit for remote preparation and measurement of a qubit[J]. Physical Review A, 2001, 63 014302
[12]Bennett C H, Divincenzo D P, Shor P W, et al. Remote state preparation[J]. Physical Review Letters, 2001, 87 077902.
[13] Zeng B and Zhang P. Remote-state preparation in higher dimension and the parallelizable manifold Sn-1[J]. Physical Review A, 2002, 65 022316
[14] Liu J M, Wang Y Z. Remote preparation of a two-particle entangled state[J].
Physics Letters A, 2003, 316 159-167
[15] Ye M Y, Zhang Y S, Guo G C. Faithful remote state preparation using finite classical bits and a nonmaximally entangled state[J]. Physical Review A , 2004, 69 022310
[16] Kurucz Z, Adam P, Kis Z, et al. Continuous variable remote state preparation[J].
Physical Review A, 2005, 72 052315.
[17] Liu J M, Feng X L, OH C H. Remote preparation of arbitrary two- and three-qubit states[J]. Euro Phys Lett, 2009, 87 30006.
[18] Nguyen B A, Kim J. Joint remote state preparation [J]. J.Phys.B, 2008, 41 095501.
[19] Peng X H, Zhu X W, Fang X M, et al. Experimental implementationof remote state preparation by nuclear magnetic resonance [J]. Physics Letters A, 2003, 306 271
[20] Rosenfeld W, Berner S, Volz J. Remote Preparation of an Atomic Quantum Memory [J].
Physical Review Letters, 2007, 98 050504
[21] Peters N P, Barreiro J T, Goggin M E. Remote State Preparation: Arbitrary Remote Control of Photon Polarization [J]. Physical Review Letters, 2005, 94 150502
[22] Wang M Y, Yan F L [J]. arXiv quant-ph/0902.4782.