Abstract
An explicit scheme (quantum circuit) is designed for the teleportation of an n-qubit quantum state. It is established that the proposed scheme requires an optimal amount of quantum resources, whereas larger amount of quantum resources have been used in a large number of recently reported teleportation schemes for the quantum states which can be viewed as special cases of the general n-qubit state considered here. A trade-off between our knowledge about the quantum state to be teleported and the amount of quantum resources required for the same is observed. A proof-of-principle experimental realization of the proposed scheme (for a 2-qubit state) is also performed using 5-qubit superconductivity-based IBM quantum computer. The experimental results show that the state has been teleported with high fidelity. Relevance of the proposed teleportation scheme has also been discussed in the context of controlled, bidirectional, and bidirectional controlled state teleportation.
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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. 70, 1895 (1993)
Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2000)
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)
Pathak, A., Banerjee, A.: Efficient quantum circuits for perfect and controlled teleportation of n-qubit non-maximally entangled states of generalized Bell-type. Int. J. Quantum Inf. 9, 389–403 (2011)
Huelga, S.F., Vaccaro, J.A., Chefles, A., Plenio, M.B.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)
Zha, X.-W., Zou, Z.-C., Qi, J.-X., Song, H.-Y.: Bidirectional quantum controlled teleportation via five-qubit cluster state. Int. J. Theor. Phys. 52, 1740–1744 (2013)
Shukla, C., Banerjee, A., Pathak, A.: Bidirectional controlled teleportation by using 5-qubit states: a generalized view. Int. J. Theor. Phys. 52, 3790–3796 (2013)
Thapliyal, K., Verma, A., Pathak, A.: A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication. Quantum Inf. Process. 14, 4601–4614 (2015)
Thapliyal, K., Pathak, A.: Applications of quantum cryptographic switch: various tasks related to controlled quantum communication can be performed using Bell states and permutation of particles. Quantum Inf. Process. 14, 2599–2616 (2015)
Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Nie, Y.-Y., Li, Y.-H., Liu, J.-C., Sang, M.-H.: Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states. Quantum Inf. Process. 10, 297–305 (2011)
Shukla, C., Pathak, A.: Hierarchical quantum communication. Phys. Lett. A 377, 1337–1344 (2013)
Mishra, S., Shukla, C., Pathak, A., Srikanth, R., Venugopalan, A.: An integrated hierarchical dynamic quantum secret sharing protocol. Int. J. Theor. Phys. 54, 3143–3154 (2015)
Shukla, C., Thapliyal, K., Pathak, A.: Hierarchical joint remote state preparation in noisy environment. Quantum Inf. Process. 16, 205 (2017)
Pathak, A.: Elements of quantum computation and quantum communication. Taylor & Francis, New York (2013)
Lo, H.-K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050–2056 (1999)
Li, Y-h, Li, X-l, Nie, L-p, Sang, M-h: Quantum teleportation of three and four-qubit state using multi-qubit cluster states. Int. J. Theor. Phys. 55, 1820–1823 (2016)
Hassanpour, S., Houshmand, M.: Bidirectional teleportation of a pure EPR state by using GHZ states. Quantum Inf. Process. 15, 905–912 (2016)
Da-Chuang, L., Zhuo-Liang, C.: Teleportation of two-particle entangled state via cluster state. Commun. Theor. Phys. 47, 464 (2007)
Li, Y-h, Nie, L-p, Li, X-l, Sang, M-h: Asymmetric bidirectional controlled teleportation by using six-qubit cluster state. Int. J. Theor. Phys. 55, 3008–3016 (2016)
Song-Song, L., Yi-You, N., Zhi-Hui, H., Xiao-Jie, Y., Yi-Bin, H.: Controlled teleportation using four-particle cluster state. Commun. Theor. Phys. 50, 633 (2008)
Cao, Z.-L., Song, W.: Teleportation of a two-particle entangled state via W class states. Phys. A Stat. Mech. Appl. 347, 177–183 (2005)
Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)
Tsai, C.-W., Hwang, T.: Teleportation of a pure EPR state via GHZ-like state. Int. J. Theor. Phys. 49, 1969–1975 (2010)
Tan, X., Zhang, X., Song, T.: Deterministic quantum teleportation of a particular six-qubit state using six-qubit cluster state. Int. J. Theor. Phys. 55, 155–160 (2016)
Wei, Z.-H., Zha, X.-W., Yu, Y.: Comment on teleportation protocol of three-qubit state using four-qubit quantum channels. Int. J. Theor. Phys. 55, 4687–4692 (2016)
Li, Y-h, Sang, M-h, Wang, X-p, Nie, Y-y: Quantum teleportation of a four-qubit state by using six-qubit cluster state. Int. J. Theor. Phys. 55, 3547–3550 (2016)
Yu, L.Z.: Teleportation of an unknown three-particle entangled state via a cluster state. In: Advanced Materials Research, Trans Tech Publ, vol. 734, pp. 3022–3025 (2013)
Nandi, K., Mazumdar, C.: Quantum teleportation of a two qubit state using GHZ-like state. Int. J. Theor. Phys. 53, 1322–1324 (2014)
Chen, P.-X., Zhu, S.-Y., Guo, G.-C.: General form of genuine multipartite entanglement quantum channels for teleportation. Phys. Rev. A 74, 032324 (2006)
Man, Z.-X., Xia, Y.-J., An, N.B.: Genuine multiqubit entanglement and controlled teleportation. Phys. Rev. A 75, 052306 (2007)
Bouwmeester, D., Pan, J.-W., Mattle, K., et al.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Nielsen, M.A., Knill, E., Laflamme, R.: Complete quantum teleportation using nuclear magnetic resonance. Nature 396, 52–55 (1998)
Furusawa, A., Sørensen, J.L., Braunstein, S.L., et al.: Unconditional quantum teleportation. Science 282, 706–709 (1998)
Zhao, Z., Chen, Y.-A., Zhang, A.-N., et al.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430, 54–58 (2004)
Riebe, M., Häffner, H., Roos, C., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734–737 (2004)
Barrett, M., Chiaverini, J., Schaetz, T., et al.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737–739 (2004)
Sun, Q.-C., Mao, Y.-L., Chen, S.-J., et al.: Quantum teleportation with independent sources and prior entanglement distribution over a network. Nat. Photon. 10, 671–675 (2016)
IBM quantum computing platform. http://research.ibm.com/ibm-q/qx/ (2016). Accessed 04 May 2016
Devitt, S.J.: Performing quantum computing experiments in the cloud. Phys. Rev. A 94, 032329 (2016)
Fedortchenko, S.: A quantum teleportation experiment for undergraduate students. arXiv preprint arXiv:1607.02398 (2016)
Rundle, R., Tilma, T., Samson, J., Everitt, M.: Quantum state reconstruction made easy: a direct method for tomography. Phys. Rev. A 96, 022117 (2017)
Malkoc, O.: Quantum computation with superconducting qubits. Quantum 1, 23 (2013)
Architecture used in 5-qubit quantum computer. https://github.com/IBM/qiskit-qx-info/blob/master/backends/ibmqx2/README.md (2017)
Various parameters of IBM quantum computer. https://quantumexperience.ng.bluemix.net/qx/editor (2016). Accessed 04 May 2016
Adami, C., Cerf, N.J.: Quantum computation with linear optics. In: Quantum Computing and Quantum Communications, pp. 391–401 Springer (1999)
Chuang, I.L., Gershenfeld, N., Kubinec, M.G., Leung, D.W.: Bulk quantum computation with nuclear magnetic resonance: theory and experiment. In: Proceedings of the Royal Society of London A, vol. 454, pp. 447–467 (1998)
Schmied, R.: Quantum state tomography of a single qubit: comparison of methods. J. Mod. Opt. 63, 1744–1758 (2016)
Shukla, A., Rao, K.R.K., Mahesh, T.: Ancilla-assisted quantum state tomography in multiqubit registers. Phys. Rev. A 87, 062317 (2013)
James, D.F., Kwiat, P.G., Munro, W.J., White, A.G.: Measurement of qubits. Phys. Rev. A 64, 052312 (2001)
Hebenstreit, M., Alsina, D., Latorre, J., Kraus, B.: Compressed quantum computation using the IBM quantum experience. Phys. Rev. A 95, 052339 (2017)
Alsina, D., Latorre, J.I.: Experimental test of Mermin inequalities on a five-qubit quantum computer. Phys. Rev. A 94, 012314 (2016)
Filipp, S., Maurer, P., Leek, P., et al.: Two-qubit state tomography using a joint dispersive readout. Phys. Rev. Lett. 102, 200402 (2009)
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321 (2008)
Tsai, C.W., Hsieh, C.R., Hwang, T.: Dense coding using cluster states and its application on deterministic secure quantum communication. Eur. Phys. J. D 61, 779–783 (2011)
Sharma, V., Shukla, C., Banerjee, S., Pathak, A.: Controlled bidirectional remote state preparation in noisy environment: a generalized view. Quantum Inf. Process. 14, 3441–3464 (2015)
Joy, D., Surendran, S.P., et al.: Efficient deterministic secure quantum communication protocols using multipartite entangled states. Quantum Inf. Process. 16, 157 (2017)
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AP, AS and KT thank Defense Research & Development Organization (DRDO), India, for the support provided through the Project Number ERIP/ER/1403163/M/01/1603.
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Sisodia, M., Shukla, A., Thapliyal, K. et al. Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state. Quantum Inf Process 16, 292 (2017). https://doi.org/10.1007/s11128-017-1744-2
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DOI: https://doi.org/10.1007/s11128-017-1744-2