Abstract
Under the preconditions that a (n:n)-qutrit pure state is taken as the quantum channel to teleport an arbitrary n-qutrit state and the sender is able to perform generalized-Bell-state measurements and publish the results, the necessary transformation operation in the receiver’s site is worked out in terms of the technique of swapping states. A criterion on whether such quantum channel can be utilized for perfect teleportation is derived by virtue of the unitarity of the resultant transformation operator. Moreover, the flexibility between the measurement difficulty and the reconstruction difficulty is shown and discussed.
Similar content being viewed by others
References
Bennett C H, Brassard G, Crépeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys Rev Lett, 1993, 70: 1895–1899
Bouwmeester D, Pan J W, Mattle K, et al. Experimental quantum teleportation. Nature, 1997, 390: 575–579
Furusawa A, Sørensen J L, Braunstein S L, et al. Unconditional quantum teleportation. Science, 1998, 282: 706–709
Long G L, Liu X S. Theoretically efficient high-capacity quantum-keydistribution scheme. Phys Rev A, 2002, 65: 032302
Deng F G, Long G L. Controlled order rearrangement encryption for quantum key distribution. Phys Rev A, 2003, 68: 042315
Wang X B. Quantum key distribution with two-qubit quantum codes. Phys Rev Lett, 2004, 92: 077902
Yang W X, Gong Z X. Practical scheme for quantum dense coding between three parties using microwave radiation in trapped ions. J Phys B-At Mol Opt Phys, 2007, 40: 1245–1252
Yang WX, Zhan Z M, Li J H. Efficient scheme for multipartite entanglement and quantum information processing with trapped ions. Phys Rev A, 2005, 72: 062108
Hillery M, Bŭzek V, Berthiaume A. Quantum secret sharing. Phys Rev A, 1999, 59: 1829–1834
Lance AM, Symul T, Bowen WP, et al. Tripartite quantum state sharing. Phys Rev Lett, 2004, 92: 177903
Zhang Z J. Multiparty quantum secret sharing of secure direct communication. Phys Lett A, 2005, 342: 60–66
Zhang Z J, Li Y, Man Z X. Multiparty quantum secret sharing. Phys Rev A, 2005, 71: 044301
Zhang Z J, Man Z X. Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys Rev A, 2005, 72: 022303
Zhang Z J, Yang J, Man Z X, et al. Multiparty secret sharing of quantum information using and identifying Bell states. Eur Phys J D, 2005, 33: 133–136
Zhang Z J, Cheung C Y. Minimal classical communication and measurement complexity for quantum information splitting. J Phys B-At Mol Opt Phys, 2008, 41: 015503
Yan F L, Gao T. Quantum secret sharing between multiparty and multiparty without entanglement. Phys Rev A, 2005, 72: 012304
Deng F G, Li X H, Zhou H Y, et al. Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys Rev A, 2005, 72: 044302
Wang Y H, Song H S. Preparation of multi-atom specially entangled W-class state and splitting quantum information. Chin Sci Bull, 2009, 54(15): 2599–2605
Shi R H, Huang L S, Yang W, et al. Quantum secret sharing between multiparty and multiparty with Bell states and Bell measurements. Sci China Phys Mech Astron, 2010, 53(12): 2238–2244
Yuan H, Liu Y M, Zhang W, et al. Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J Phys B-At Mol Opt Phys, 2008, 41: 145506
Wang D, Liu Y M, Zhang Z J. Remote preparation of a class of threequbit states. Opt Commun, 2008, 281: 871–875
Yu Y F, Feng J, Zhan M S. Remote information concentration by a Greenberger-Horne-Zeilinger state and by a bound entangled state. Phys Rev A, 2003, 68: 024303
Lee J, Min H, Oh S D. Multipartite entanglement for entanglement teleportation. Phys Rev A, 2002, 66: 052318
Rigolin G. Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys Rev A, 2005, 71: 032303; Deng F G. Comment on “Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement”. Phys Rev A, 2005, 72: 036301
Yeo Y, Chua W K. Teleportation and dense coding with genuine multipartite entanglement. Phys Rev Lett, 2006, 96: 060502
Chen P X, Zhu S Y, Guo G C. General form of genuine multipartite entanglement quantum channels for teleportation. Phys Rev A, 2006, 74: 032324
Agrawal P, Pati A. Perfect teleportation and superdense coding with W states. Phys Rev A, 2006, 74: 062320
Zhang Z J, Man Z X. Many-agent controlled teleportation of multi-qubit quantum information. Phys Lett A, 2005, 341: 55–59
Zhang Z J. Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message. Phys Lett A, 2006, 352: 55–58
Wang X W, Shan Y G, Xia L X, et al. Dense coding and teleportation with one-dimensional cluster states. Phys Lett A, 2007, 364: 7–11
Zhang Z J, Liu Y M, Wang D. Perfect teleportation of arbitrary n-qudit states using different quantum channels. Phys Lett A, 2007, 372: 28–32
Zhang W, Liu Y M, Wang Z Y, et al. Preparation of multi-atom cluster state and teleportation of arbitrary two-atom state via thermal cavity. Opt Commun, 2008, 281: 4549–4552
Muralidharan S, Panigrahi P K. Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys Rev A, 2008, 77: 032321
SaiToh A, Rahimi R, Nakahara M. Economical (k,m)-threshold controlled quantum teleportation. Phys Rev A, 2009, 79: 062313
Ishizaka S, Hiroshima T. Quantum teleportation scheme by selecting one of multiple output ports. Phys Rev A, 2009, 79: 042306
Lee S, Park J. Monogamy of entanglement and teleportation capability. Phys Rev A, 2009, 79: 054309
Li W L, Li C F, Guo G C. Probabilistic teleportation and entanglement matching. Phys Rev A, 2000, 61: 034301
Joo J, Park Y J, Oh S, et al. Quantum teleportation via a W state. New J Phys, 2003, 5: 136.1–136.9
Yan F L, Wang D. Probabilistic and controlled teleportation of unknown quantum states. Phys Lett A, 2003, 316: 297–303
Wang M Y, Yan F L. Chain teleportation via partially entangled states. Eur Phys J D, 2009, 54: 111–114
Zubairy M S. Quantum teleportation of a field state. Phys Rev A, 1998, 58: 4368–4372
Yin X F, Liu Y M, Zhang Z Y, et al. Perfect teleportation of an arbitrary three-qubit state with the highly entangled six-qubit genuine state. Sci China Phys Mech Astron, 2010, 53: 2059–2063
Zhang W, Liu Y M, Zuo X Q, et al. Preparation of genuine Yeo-Chua entangled state and teleportation of two-atom state via cavity QED. Sci China Phys Mech Astron, 2010, 53: 2232–2237
Zuo X Q, Liu Y M, Zhang W, et al. Simpler criterion on W state for perfect quantum state splitting and quantum teleportation. Sci China Ser G-Phys Mech Astron, 2009, 52: 1906–1912
Zhang X H, Yang Z Y, Xu P P. Teleporting N-qubit unknown atomic state by utilizing the V-type three-level atom. Sci China Ser G-Phys Mech Astron, 2009, 52: 1034–1038
Gao T, Yan F L, Li Y C. Optimal controlled teleportation via several kinds of three-qubit states. Sci China Ser G-Phys Mech Astron, 2008, 51: 1529–1556
Tian D P, Tao Y J, Qin M. Teleportation of an arbitrary two-qudit state based on the non-maximally four-qudit cluster state. Sci China Ser GPhys Mech Astron, 2008, 51: 1523–1528
Murao M, Plenio M B, Vedral V. Quantum-information distribution via entanglement. Phys Rev A, 2000, 61: 032311
Xu FX, Chen W, Wang S, et al. Field experiment on a robust hierarchical metropolitan quantum cryptography network. Chin Sci Bull, 2009, 54: 2991–2997
Li C Z. Real applications of quantum communications in China. Chin Sci Bull, 2009, 54: 2976–2977
Pan J W, Daniell M, Gasparoni S, et al. Experimental demonstration of four-photon entanglement and high-fidelity teleportation. Phys Rev Lett, 2001, 86: 4435–4438
Cheung C Y, Zhang Z J. Criterion for faithful teleportation with an arbitrary multiparticle channel. Phys Rev A, 2009, 80: 022327
Zha X W, Song H Y. Non-Bell-pair quantum channel for teleporting an arbitrary two-qubit state. Phys Lett A, 2007, 369: 377–379
Zha X W, Ren K F. General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys Rev A, 2008, 77: 014306
Zhang Z Y, Liu Y M, Zuo X Q, et al. Transformation operator and criterion for perfectly teleporting arbitrary three-qubit state with six-qubit channel and Bell-state measurement. Chin Phys Lett, 2009, 26: 120303
Zuo X Q, Liu Y M, Zhang Z Y, et al. Simpler criterion and flexibility of operation complexity for perfectly teleporting arbitrary n-qubit state with 2n-qubit pure state. Sci China Phys Mech Astron, 2010, 53: 2069–2073
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, Z., Liu, Y., Zhang, W. et al. Criterion and flexibility of operation difficulty for perfect teleportation of arbitrary n-qutrit state with (n:n)-qutrit pure state. Sci. China Phys. Mech. Astron. 54, 1476–1480 (2011). https://doi.org/10.1007/s11433-011-4388-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11433-011-4388-8