提出两个概率隐形传态方案,这两个方案都是以一个四粒子cluster非最大纠缠态作为量子信道来实现未知两粒子纠缠态的隐形传态.在第一个方案中传送的是一个特殊的两粒子纠缠态,此纠缠态可以实现一定的概率传输,此概率由cluster态中绝对值较小的两个系数决定.在第二个方案中,传送的是任意两粒子纠缠态,与第一方案相比,Bob除了需要实施幺正变换外,还要实施量子控制相位门才能重建被传送的纠缠态.使用非最大纠缠cluster态作为量子信道可以节约更多的纠缠资源和经典信息.
Two schemes for teleporting an unknown two-particle entangled state via a four-qubit non-maximally entangled cluster state as quantum channel are proposed. In the first scheme, a special bipartite entangled state was teleported, the receiver Bob can reconstruct the original state with a certain probability according to the sender Alice's measurement results, and the successful probability is determined by the smallest two coefficients' absolute values of the cluster state. In the latter scheme an arbitrary two-particle entangled state was teleported. Contrast to the first scheme,Bob should perform a quantum controlled phase gate operation besides the unitary transformation.The considerable advantage is that it employs a non-maximally entangled cluster state as quantum channel in these two schemes, Thus, the schemes can greatly reduce the amount of entanglement resources and need less classical bits.
参考文献
[1] | Einstein A,et al.Can quantum mechanical description of physical reality be considered complete?[J].Phys.Rev.,1935,47:777-780. |
[2] | Bell J S.On the Einsteirr-Podolsky-R.osen paradox[J].Physics,1964,1:195-200. |
[3] | Bennett C H,Brassard G,Crepeau C,et al.Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels[J].Phys.Rev.Lett.,1993,70:1895-1899. |
[4] | Bennett C H,et al.Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states[J].Phys.Rev.Lett.,1992,69:2881-2884. |
[5] | Ekert A K.Quantum cryptography based on Bell's theorem[J].Phys.Rev.Lett.,1991,67:661-663. |
[6] | Cirac J I,Parkins A S.Schemes for atomic-state teleportation[J].Phys.Rev.A,1994,50:R4441. |
[7] | Bose S,Knight P L,Plenio M B,et al.Proposal for teleportation of an atomic state via cavity decay[J].Phys.Rev.Lett.,1999,83:5158-5161. |
[8] | Bandyopadhyay S.Teleportation and secret sharing with pure entangled states[J].Phys.Rev.A,2000,62:012308. |
[9] | Zheng S B.Scheme for approximate conditional teleportation of an unknown atomic state without the Bell-state measurement[J].Phys.Rev.A,2004,69:064302. |
[10] | Pires G,de Almeida N G,Avelar A T,et al.Teleporting entanglements of cavity-field states[J].Phys.Rev.A,2004,70:025803. |
[11] | Cardoso W B,Avelar A T,Baseia B,et al.Teleportation of entangled states without Bell-state measurement[J].Phys.Rev.A,2005,72:045802. |
[12] | Fang J X,Lin Y S,Zhu S Q,et al.Probabilistic teleportation of a three-particle state via three pairs of entangled particles[J].Phys.Rev.A,2003,67:014305. |
[13] | Yu L Zh,Gong R S.Purification for entangled multi-atom states via entanglement swapping[J].Chinese Journal of Quantum Electronics (量子电子学报),2008,25:317-321(in Chinese). |
[14] | Shi J,Zhan Y B.Probabilistic remote preparation of a bipartite three-dimensional equatorial entangled state[J].Chinese Journal of Quantum Electronics (量子电子学报),2008,25:306-311 (in Chinese). |
[15] | Hong Z H,Nie Y Y,Huang Y B,et al.Controlled quantum teleportation via four particle cluster state[J].Chinese Journal of Quantum Electronics (量子电子学报),2008,25:458-461 (in Chinese). |
[16] | Bouwmeaster D,Pan J W,Mattle K,et al.Experimental quantum teleportation[J].Nature,1997,390:575-579. |
[17] | Furusawa A,Sorensen J L,Braunstein S L,et al.Unconditional quantum teleportation[J].Science,1998,282:706-709. |
[18] | Nielsen M A,Knill E,Laflamme R.Complete quantum teleportation using nuclear magnetic resonance[J].Nature,1998,396:52-55. |
[19] | Cao M,Zhu S Q.Probabilistic teleportation of n-particle state via n pairs of entangled particle[J].Commun.Theor.Phys.,2005,43:69-72. |
[20] | Cao M,Zhu S Q.Probabilistic teleportation of multi-particle d-level quantum state[J].Commun..Theor.Phys.,2005,43:803-805. |
[21] | Dur W,Vidal G,Cirac J I.Three qubits can be entangled in two inequivalent ways[J].Phys.Rev.A,2000,62:062314. |
[22] | Shi B S,Jiang Y K,Guo G C.Probabilistic teleportation of two-particle entangled state[J].Phys.Lett.A,2000,268:161-164. |
[23] | Cao Z L,Song W.Teleportation of a two-particle entangled state via W class states[J].Physica.A,2005,347:177-183. |
[24] | Dong P,Xue Z Y,Yang M,et al.Generation of cluster states[J].Phys.Rev.A,2006,73:033818. |
[25] | Li D C,Cao Z L.Teleportation of two-particle entangled state via cluster state[J].Commun.Theor.Phys.,2007,47:464-466. |
[26] | Liu Y L,Man Z X,Xia Y J.Quantum secret sharing of an arbitrary two-particle entangled state via non-maximally entangled channels[J].Acta Physica Sinica (物理学报),2008,57:2681-2686 (in Chinese). |
- 下载量()
- 访问量()
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%