Abstract
We propose the optimal economical telecloning of equatorial qubits. The fidelity of each copy is optimal, and the telecloning can be realized with the success probability 100%. The efficiency of telecloning is much better than the protocol in the previous contributions (Wang and Yang in Phys Rev A 79:062315, 2009).
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References
Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature (London) 299, 802–803 (1982)
Gisin, N., Ribordy, G., Tittel, W., et al.: Quantum cryptography. Rev Mod Phys 4, 145–195 (2002)
Βužek, V., Hillery, M.: Quantum copying: beyond the no-cloning theorem. Phys. Rev. A 54, 1844–1852 (1996)
Scarani, V., Iblisdir, S., Gisin, N., et al.: Quantum cloning. Rev Mod Phys 77, 1225–1256 (2005)
Gisin, N., Massar, S.: Optimal quantum cloning machines. Phys. Rev. Lett. 79, 2153–2156 (1997)
Βužek, V., Hillery, M.: Universal optimal cloning of arbitrary quantum states: from qubits to quantum registers. Phys. Rev. Lett. 81, 5003–5006 (1998)
Cerf, N.J.: Pauli cloning of a quantum bit. Phys. Rev. Lett. 84, 4497–4500 (2000)
Werner, R.F.: Optimal cloning of pure states. Phys. Rev. A 58, 1827–1832 (1998)
Bruss, D., Cinchetti, M., D’Ariano, G.M., et al.: Phase-covariant quantum cloning. Phys. Rev. A 62, 12302 (2000)
Fan, H., Matsumoto, K., Wang, X.B., et al.: Quantum cloning machines for equatorial qubits. Phys. Rev. A 65, 012304 (2001)
Fan, H., Imai, H., Matsumoto, K., et al.: Phase-covariant quantum cloning of qudits. Phys. Rev. A 67, 022317 (2003)
D’Ariano, G.M., Macchiavello, C.: Optimal phase-covariant cloning for qubits and qutrits. Phys. Rev. A 67, 042306 (2003)
Navez, P., Cerf, N.J.: Cloning a real d-dimensional quantum state on the edge of the no-signaling condition. Phys. Rev. A 68, 032313 (2003)
Zhang, W.H., Wu, T., Ye, L., et al.: Optimal real state cloning in d dimensions. Phys. Rev. A 75, 044303 (2007)
Zhang, W.H., Ye, L.: Optimal asymmetric phase-covariant and real state cloning in d dimensions. New J. Phys. 9, 318 (2007)
Ricci, M., Cerf, N.J., Filip, R., et al.: Separating the classical and quantum information via quantum cloning. Phys. Rev. Lett. 95, 090504 (2005)
Bruss, D., Ekert, A., Macchiavello, C.: Optimal universal quantum cloning and state estimation. Phys. Rev. Lett. 81, 2598–2601 (1998)
Macchiavello, C.: Optimal estimation of multiple phases. Phys. Rev. A 67, 062302 (2003)
Chiribella, G., D’Ariano, G.M.: Quantum information becomes classical when distributed to many users. Phys. Rev. Lett. 97, 250503 (2006)
Zhao, Z., Zhang, A.N., Zhou, X.Q., et al.: Experimental realization of optimal asymmetric cloning and telecloning via partial teleportation. Phys. Rev. Lett. 95, 030502 (2005)
Du, J.F., Durt, T., Zou, P., et al.: Experimental quantum cloning with prior partial information. Phys. Rev. Lett. 94, 040505 (2005)
Xu, J.S., Li, C.F., Chen, L., et al.: Experimental realization of the optimal universal and phase-covariant quantum cloning machines. Phys. Rev. A 78, 032322 (2008)
Soubusta, J., Bartůšková, L., Ċernoch, A., et al.: Experimental asymmetric phase-covariant quantum cloning of polarization qubits. Phys. Rev. A 78, 052323 (2008)
Murao, M., Vedral, V.: Remote Information Concentration Using a Bound Entangled State. Phys. Rev. Lett. 86, 352–355 (2001)
Bruß, D., DiVincenzo, D.P., Ekert, A., et al.: Optimal universal and state-dependent quantum cloning. Phys. Rev. A 57, 2368–2378 (1998)
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, 895–1899 (1993)
Murao, M., Jonathan, D., Plenio, M.B., et al.: Quantum telecloning and multiparticle entanglement. Phys. Rev. A 59, 156–161 (1999)
Murao, M., Plenio, M.B., Vedral, V.: Quantum-information distribution via entanglement. Phys. Rev. A 61, 032311 (2000)
Wang, X.W., Yang, G.J.: Hybrid economical telecloning of equatorial qubits and generation of multipartite entanglement. Phys. Rev. A 79, 062315 (2009)
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This research was funded by the Natural Science Foundation of the Education Department of Anhui Province of China under Grants No. KJ2016A672
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Zhang, SJ., Zhang, WH. Optimal economical telecloning of equatorial qubits. Quantum Inf Process 19, 219 (2020). https://doi.org/10.1007/s11128-020-02725-2
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DOI: https://doi.org/10.1007/s11128-020-02725-2