Abstract
We investigate the entanglement teleportation via thermal Wannier edge states in a chiral graphene nanoribbon described by the effective Heisenberg model. The results show that in order to realize quantum teleportation the channel entanglement must be larger than a critical minimum value which depends on the entanglement of the initial input state. We also show that the teleportation fidelity is approximately close to the maximum at lower temperature. In particular, if Coulomb repulsion among electrons is smaller than 1.2 eV, the average fidelity will be larger than 2/3 even at room temperature.
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Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Weedbrook, C., Pirandola, S., García-Patrón, R., Cerf, N.J., Ralph, T.C., Shapiro, J.H., Lloyd, S.: Gaussian quantum information. Rev. Mod. Phys. 84, 621 (2012)
Pirandola, S., Eisert, J., Weedbrook, C., Furusawa, A., Braunstein, S.L.: Advances in quantum teleportation. Nat. Photonics 9, 641 (2015)
Briegel, H.J., Dür, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932 (1998)
Brassard, G., Braunstein, S.L., Cleve, R.: Teleportation as a quantum computation. Phys. D 120, 43 (1998)
Amp, D.G., Chuang, I.L., Gottesman, D., Chuang, I.L.: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402, 390 (1999)
VanLoock, P., Braunstein, S.L.: Multipartite entanglement for continuous variables: a quantum teleportation network. Phys. Rev. Lett. 84, 3482 (2000)
Yonezawa, H., Aoki, T., Furusawa, A.: Demonstration of a quantum teleportation network for continuous variables. Nature 431, 430 (2004)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)
Yin, J., Ren, J.G., Lu, H., Cao, Y., Yong, H.L., Wu, Y.P., Liu, C., Liao, S.K., Zhou, F., Jiang, Y.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185 (2012)
Ma, X.S., Herbst, T., Scheidl, T., Wang, D., Kropatschek, S., Naylor, W., Wittmann, B., Mech, A., Kofler, J., Anisimova, E.: Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269 (2012)
Boozer, A.D., Boca, A., Miller, R., Northup, T.E., Kimble, H.J.: Reversible state transfer between light and a single trapped atom. Phys. Rev. Lett. 98, 193601 (2007)
Nölleke, C., Neuzner, A., Reiserer, A., Hahn, C., Rempe, G., Ritter, S.: Efficient teleportation between remote single-atom quantum memories. Phys. Rev. Lett. 110, 140403 (2013)
Krauter, H., Salart, D., Muschik, C.A., Petersen, J.M., Shen, H., Fernholz, T., Polzik, E.S.: Deterministic quantum teleportation between distant atomic objects. Nat. Phys. 9, 400 (2012)
Bao, X.H., Xu, X.F., Li, C.M., Yuan, Z.S., Lu, C.Y., Pan, J.W.: Quantum teleportation between remote atomic-ensemble quantum memories. Proc. Natl. Acad. Sci. USA 109, 20347 (2012)
Pfaff, W., Hensen, B.J., Bernien, H., van Dam, S.B., Blok, M.S., Taminiau, T.H., Tiggelman, M.J., Schouten, R.N., Markham, M., Twitchen, D.J.: Unconditional quantum teleportation between distant solid-state quantum bits. Science 345, 532 (2014)
Gao, W.B., Fallahi, P., Togan, E., Delteil, A., Chin, Y.S., Miguel-Sanchez, J., Imamoğlu, A.: Quantum teleportation from a propagating photon to a solid-state spin qubit. Nat. Commun. 4, 2744 (2013)
Krance, R.A., Kuehnle, I., Rill, D.R., Mei, Z., Pinetta, C., Evans, W., Brown, M.P., Pulé, M., Heslop, H.E., Brenner, M.K.: Quantum teleportation from a telecom-wavelength photon to a solid-state quantum memory. Nat. Photonics 8, 775 (2014)
Tanaka, T., Sunden, Y., Sakoda, Y., Kida, H., Ochiai, K., Umemura, T.: Deterministic quantum teleportation with feed-forward in a solid state system. Nature 500, 319 (2013)
Rossignoli, R., Canosa, N.: Global thermal entanglement in n-qubit systems. Phys. Rev. A 72, 012335 (2005)
Zhang, R., Zhu, S.: Thermal entanglement in a two-dimensional Heisenberg XY model. Phys. Lett. A 348, 110 (2006)
Li, D., Wang, X.: Thermal entanglement in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii–Moriya interaction. J. Phys. Condens. Matter 20, 325229 (2008)
Li, D.C., Cao, Z.L.: Thermal entanglement in the anisotropic Heisenberg XYZ model with different Dzyaloshinskii–Moriya couplings. Chin. Phys. Lett. 26, 20309 (2009)
Gong, S.S., Su, G.: Thermal entanglement in one-dimensional Heisenberg quantum spin chains under magnetic fields. Phys. Rev. A 80, 012323 (2009)
Rojas, O., Rojas, M., Ananikian, N.S., de Souza, S.M.: Thermal entanglement in an exactly solvable Ising-XXZ diamond chain structure. Phys. Rev. A 86, 042330 (2012)
Mehran, E., Mahdavifar, S., Jafari, R.: Induced effects of the Dzyaloshinskii–Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains. Phys. Rev. A 89, 042306 (2014)
Yeo, Y.: Teleportation via thermally entangled states of a two-qubit Heisenberg XX chain. Phys. Rev. A 66, 062312 (2002)
Li, C., Wang, C., Guo, G.: Entanglement and teleportation through thermal equilibrium state of spins in the XXZ model. Opt. Commun. 260, 741 (2006)
Zhang, Y., Long, G.L., Wu, Y.C., Guo, G.C.: Partial teleportation of entanglement through natural thermal entanglement in two-qubit Heisenberg XXX chain. Commun. Theor. Phys. 47, 787 (2007)
Zhang, G.F.: Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski–Moriya anisotropic antisymmetric interaction. Phys. Rev. A 75, 034304 (2007)
Cai, J., Abliz, A., Zhang, G., Bai, Y.: Effects of Dzyaloshinskii–Moriya interaction on thermal entanglement and teleportation via a two-qubit Heisenberg XXZ spin chain under external magnetic field. Opt. Commun. 283, 4415 (2010)
Loss, D., DiVincenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)
Petta, J.R., Johnson, A.C., Taylor, J.M., Laird, E.A., Yacoby, A., Lukin, M.D., Marcus, C.M., Hanson, M.P., Gossard, A.C.: Coherent manipulation of coupled electron spins in semiconductor quantum dots. Science 309, 2180 (2005)
Press, D., Ladd, T., Zhang, B., Yamamoto, Y.: Complete quantum control of a single quantum dot spin using ultrafast optical pulses. Nature 456, 218 (2008)
Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V., Firsov, A.A.: Electric field effect in atomically thin carbon films. Science 306, 666 (2004)
Trauzettel, B., Bulaev, D.V., Loss, D., Burkard, G.: Spin qubits in graphene quantum dots. Nat. Phys. 3, 192 (2007)
Pedersen, T.G., Flindt, C., Pedersen, J., Mortensen, N.A., Jauho, A., Pedersen, K.: Graphene antidot lattices: designed defects and spin qubits. Phys. Rev. Lett. 100, 136804 (2008)
Guo, G., Lin, Z., Tu, T., Cao, G., Li, X., Guo, G.: Quantum computation with graphene nanoribbon. New J. Phys. 11, 123005 (2009)
Schmidt, M.J., Golor, M., Lang, T.C., Wessel, S.: Effective models for strong correlations and edge magnetism in graphene. Phys. Rev. B 87, 245431 (2013)
Barnes, T., Dagotto, E., Riera, J., Swanson, E.S.: Excitation spectrum of Heisenberg spin ladders. Phys. Rev. B 47, 3196 (1993)
Greven, M., Birgeneau, R.J., Wiese, U.J.: Monte Carlo study of correlations in quantum spin ladders. Phys. Rev. Lett. 77, 1865 (1996)
Poilblanc, D.: Entanglement spectra of quantum Heisenberg ladders. Phys. Rev. Lett. 105, 77202 (2010)
O’Connor, K.M., Wootters, W.K.: Entangled rings. Phys. Rev. A 63, 052302 (2001)
Hill, S., Wootters, W.K.: Entanglement of a pair of quantum bits. Phys. Rev. Lett. 78, 5022 (1997)
Bowen, G., Bose, S.: Teleportation as a depolarizing quantum channel, relative entropy, and classical capacity. Phys. Rev. Lett. 87, 267901 (2001)
Jozsa, R.: Fidelity for mixed quantum states. J. Mod. Opt. 41, 2315 (1994)
Massar, S., Popescu, S.: Optimal extraction of information from finite quantum ensembles. Phys. Rev. Lett. 74, 1259 (1995)
Acknowledgements
We are grateful to Cornelie Koop and Manuel J. Schmidt for illuminating discussions. This work was supported by the National Natural Science Foundation of China (Nos. 51420105003, 11327901, 61274114, and 11525415).
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Tan, XD., Liao, XP. & Sun, L. Entanglement teleportation via thermal Wannier edge states in a chiral graphene nanoribbon. Quantum Inf Process 16, 114 (2017). https://doi.org/10.1007/s11128-017-1563-5
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DOI: https://doi.org/10.1007/s11128-017-1563-5