1 Fort, C. H. Lo! (Claude Kendall, 1931).

2 Bennett, C. H. et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993).

3 Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement. Rev. Mod. Phys. 81, 865–942 (2009).

4 Eisert, J. & Plenio, M. B. Introduction to the basics of entanglement theory in continuous-variable systems. Int. J. Quant. Inf. 1, 479–506 (2003).

5 Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information (Cambridge Univ., 2000).

6 Wilde, M. M. Quantum Information Theory (Cambridge Univ. Press, 2013).

7 Weedbrook, C. et al. Gaussian quantum information. Rev. Mod. Phys. 84, 621–669 (2012).

8 Braunstein, S. L. & van Loock, P. Quantum information theory with continuous variables. Rev. Mod. Phys. 77, 513–577 (2005).

9 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, 5932–5935 (1998).

10 Gottesman, D. & Chuang, I. L. Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402, 390–393 (1999).

11 Raussendorf, R. & Briegel, H. J. A one-way quantum computer. Phys. Rev. Lett. 86, 5188–5191 (2001).

12 Ishizaka, S. & Hiroshima, T. Asymptotic teleportation scheme as a universal programmable quantum processor. Phys. Rev. Lett. 101, 240501 (2008).

13 Kimble, H. J. The quantum internet. Nature 453, 1023–1030 (2008).

14 Lloyd, S. et al. Closed timelike curves via post-selection: theory and experimental demonstration. Phys. Rev. Lett. 106, 040403 (2011).

15 Bouwmeester, D. et al. Experimental quantum teleportation. Nature 390, 575–579 (1997).

16 Ursin, R. et al. Quantum teleportation across the Danube. Nature 430, 849 (2004).

17 Boschi, D., Branca, S., De Martini, F., Hardy, L. & Popescu, S. Experimental realisation of teleporting an unknown pure quantum state via dual classical and Einstein–Podolski–Rosen channels. Phys. Rev. Lett. 80, 1121–1125 (1998).

18 Jin, X.-M. et al. Experimental free-space quantum teleportation. Nature Photon. 4, 376–381 (2010).

19 Kim, Y.-H., Kulik, S. P. & Shih, Y. Quantum teleportation of a polarisation state with complete Bell state measurement. Phys. Rev. Lett. 86, 1370–1373 (2001).

20 Yin, J. et al. Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185–188 (2012).

21 Ma, X.-S. et al. Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269–273 (2012).

22 Lombardi, E., Sciarrino, F., Popescu, S. & De Martini, F. Teleportation of a vacuum-one-photon qubit. Phys. Rev. Lett. 88, 070402 (2002).

23 Giacomini, S., Sciarrino, F., Lombardi, E. & De Martini, F. Active teleportation of a quantum bit. Phys. Rev. A 66, 030302 (2002).

24 Fattal, D., Diamanti, E., Inoue, K. & Yamamoto, Y. Quantum teleportation with a quantum dot single photon source. Phys. Rev. Lett. 92, 037904 (2004).

25 Metcalf, B. J. et al. Quantum teleportation on a photonic chip. Nature Photon. 8, 770–774 (2014).

26 Marcikic, I., de Riedmatten, H., Tittel, W., Zbinden, H. & Gisin, N. Long-distance teleportation of qubits at telecommunication wavelengths. Nature 421, 509–513 (2003).

27 de Riedmatten, H. et al. Long distance quantum teleportation in a quantum relay configuration. Phys. Rev. Lett. 92, 047904 (2004).

28 Landry, O. et al. Quantum teleportation over the Swisscom telecommunication network. J. Opt. Soc. Am. B 24, 398–403 (2007).

29 Wang, X.-L. et al. Quantum teleportation of multiple degrees of freedom in a single photon. Nature 518, 516–519 (2015).

30 Nielsen, M. A., Knill, E. & Laflamme, R. Complete quantum teleportation using nuclear magnetic resonance. Nature 396, 52–55 (1998).

31 Furusawa, A. et al. Unconditional quantum teleportation. Science 282, 706–709 (1998).

32 Bowen, W. P. et al. Experimental investigation of continuous-variable quantum teleportation. Phys. Rev. A 67, 032302 (2003).

33 Zhang, T. C., Goh, K. W., Chou, C. W., Lodahl, P. & Kimble, H. J. Quantum teleportation of light beams. Phys. Rev. A 67, 033802 (2003).

34 Takei, N., Yonezawa, H., Aoki, T. & Furusawa, A. High-fidelity teleportation beyond the no-cloning limit and entanglement swapping for continuous variables. Phys. Rev. Lett. 94, 220502 (2005).

35 Yonezawa, H., Braunstein, S. L. & Furusawa, A. Experimental demonstration of quantum teleportation of broadband squeezing. Phys. Rev. Lett. 99, 110503 (2007).

36 Takei, N. et al. Experimental demonstration of quantum teleportation of a squeezed state. Phys. Rev. A 72, 042304 (2005).

37 Lee, N. et al. Teleportation of nonclassical wave packets of light. Science 332, 330–333 (2011).

38 Yukawa, M., Benichi, H. & Furusawa, A. High-fidelity continuous-variable quantum teleportation toward multistep quantum operations. Phys. Rev. A 77, 022314 (2008).

39 Takeda, S., Mizuta, T., Fuwa, M., van Loock, P. & Furusawa, A. Deterministic quantum teleportation of photonic quantum bits by a hybrid technique. Nature 500, 315–318 (2013).

40 Sherson, J. F. et al. Quantum teleportation between light and matter. Nature 443, 557–560 (2006).

41 Krauter, H. et al. Deterministic quantum teleportation between distant atomic objects. Nature Phys. 9, 400–404 (2013).

42 Chen, Y.-A. et al. Memory-built-in quantum teleportation with photonic and atomic qubits. Nature Phys. 4, 103–107 (2008).

43 Bao, X.-H. et al. Quantum teleportation between remote atomic-ensemble quantum memories. Proc. Natl Acad. Sci. USA 109, 20347–20351 (2012).

44 Barrett, M. D. et al. Deterministic quantum teleportation of atomic qubits. Nature 429, 737–739 (2004).

45 Riebe, M. et al. Deterministic quantum teleportation with atoms. Nature 429, 734–737 (2004).

46 Riebe, M. et al. Quantum teleportation with atoms: Quantum process tomography. New J. Phys. 9, 211 (2007).

47 Olmschenk, S. et al. Quantum teleportation between distant matter qubits. Science 323, 486–489 (2009).

48 Nölleke, C. et al. Efficient teleportation between remote single-atom quantum memories. Phys. Rev. Lett. 110, 140403 (2013).

49 Gao, W. B. et al. Quantum teleportation from a propagating photon to a solid-state spin qubit. Nature Commun. 4, 2744 (2013).

50 Bussières, F. et al. Quantum teleportation from a telecom-wavelength photon to a solid-state quantum memory. Nature Photon. 8, 775–778 (2014).

51 Steffen, L. et al. Deterministic quantum teleportation with feed-forward in a solid state system. Nature 500, 319–322 (2013).

52 Pfaff, W. et al. Unconditional quantum teleportation between distant solid-state quantum bits. Science 345, 532–535 (2014).

53 Weinfurter, H. Experimental Bell-state analysis. Europhys. Lett. 25, 559–564 (1994).

54 Braunstein, S. L. & Mann, A. Measurement of the Bell operator and quantum teleportation. Phys. Rev. A 51, R1727–R1730 (1995).

55 Calsamiglia, J. & Lütkenhaus, N. Maximum efficiency of a linear-optical Bell-state analyzer. Appl. Phys. B 72, 67–71 (2001).

56 Bennett, C. H. et al. Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001).

57 Scarani, V., Iblisdir, S., Gisin, N. & Acn, A. Quantum cloning. Rev. Mod. Phys. 77, 1225–1256 (2005).

58 Massar, S. & Popescu, S. Optimal extraction of information from finite quantum ensembles. Phys. Rev. Lett. 74, 1259–1263 (1995).

59 Werner, R. F. All teleportation and dense coding schemes. J. Phys. A 34, 7081–7094 (2001).

60 Vaidman, L. Teleportation of quantum states. Phys. Rev. A 49, 1473–1476 (1994).

61 Braunstein, S. L. & Kimble, H. J. Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869–872 (1998).

62 Pirandola, S., Mancini, S., Vitali, D. & Tombesi, P. Continuous variable entanglement and quantum state teleportation between optical and macroscopic vibrational modes through radiation pressure. Phys. Rev. A 68, 062317 (2003).

63 Eisert, J. Entanglement in quantum information theory. PhD thesis, Potsdam University (2001).

64 Vidal, G. & Werner, R. F. Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002).

65 Plenio, M. B. Logarithmic negativity: A full entanglement monotone that is not convex. Phys. Rev. Lett. 95, 090503 (2005).

66 Walls, D. F. & Milburn, G. J. Quantum Optics (Springer, 1994).

67 Braunstein, S. L., Fuchs, C. A., Kimble, H. J. & van Loock, P. Quantum versus classical domains for teleportation with continuous variables. Phys. Rev. A 64, 022321 (2001).

68 Hammerer, K., Wolf, M. M., Polzik, E. S. & Cirac, J. I. Quantum benchmark for storage and transmission of coherent states. Phys. Rev. Lett. 94, 150503 (2005).

69 Grosshans, F. & Grangier, P. Quantum cloning and teleportation criteria for continuous quantum variables. Phys. Rev. A 64, 010301(R) (2001).

70 Pirandola, S. & Mancini, S. Quantum teleportation with continuous variables: A survey. Laser Phys. 16, 1418–1438 (2006).

71 Hammerer, K., Wolf, M. M., Polzik, E. S. & Cirac, J. I. Quantum benchmark for storage and transmission of coherent states. Phys. Rev. Lett. 94, 150503 (2005).

72 Owari, M., Plenio, M. B., Polzik, E. S., Serafini, A. & Wolf, M. M. Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states. New J. Phys. 10, 113014 (2008).

73 Calsamiglia, J., Aspachs, M., Munoz Tapia, R. & Bagan, E. Phase-covariant quantum benchmarks. Phys. Rev. A 79, 050301(R) (2009).

74 Chiribella, G. & Adesso, G. Quantum benchmarks for pure single-mode Gaussian states. Phys. Rev. Lett. 112, 010501 (2014).

75 van Loock, P., Braunstein, S. L. & Kimble, H. J. Broadband teleportation. Phys. Rev. A 62, 022309 (2000).

76 Zukowski, M., Zeilinger, A., Horne, M. A. & Ekert, A. “Event-ready-detectors” Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287–4290 (1993).

77 Pan, J.-W., Bouwmeester, D., Weinfurter, H. & Zeilinger, A. Experimental entanglement swapping: Entangling photons that never interacted. Phys. Rev. Lett. 80, 3891–3894 (1998).

78 van Loock, P. & Braunstein, S. L. Unconditional teleportation of continuous-variable entanglement. Phys. Rev. A 61, 010302(R) (1999).

79 Polkinghorne, R. E. S. & Ralph, T. C. Continuous variable entanglement swapping. Phys. Rev. Lett. 83, 2095–2099 (1999).

80 Pirandola, S., Vitali, D., Tombesi, P. & Lloyd, S. Macroscopic entanglement by entanglement swapping. Phys. Rev. Lett. 97, 150403 (2006).

81 Abdi, M., Pirandola, S., Tombesi, P. & Vitali, D. Entanglement swapping with local certification: Application to remote micromechanical resonators. Phys. Rev. Lett. 109, 143601 (2012).

82 Jia, X. et al. Experimental demonstration of unconditional entanglement swapping for continuous variables. Phys. Rev. Lett. 93, 250503 (2004).

83 Takeda, S., Fuwa, M., van Loock, P. & Furusawa, A. Entanglement swapping between discrete and continuous variables. Phys. Rev. Lett. 114, 100501 (2015).

84 Bennett, C. H. et al. Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722–725 (1996).

85 Eisert, J., Browne, D. E., Scheel, S. & Plenio, M. B. Distillation of continuous-variable entanglement with optical means. Ann. Phys. 311, 431–458 (2004).

86 Braunstein, S. L. & Pirandola, S. Side-channel-free quantum key distribution. Phys. Rev. Lett. 108, 130502 (2012).

87 Pirandola, S. et al. High-rate measurement-device-independent quantum cryptography. Nature Photon. 9, 397–402 (2015).

88 Karlsson, A. & Bourennane, M. Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394–4400 (1998).

89 Hillery, M., Buzek, V. & Berthiaume, A. Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999).

90 van Loock, P. & Braunstein, S. L. Multipartite entanglement for continuous variables: A quantum teleportation network. Phys. Rev. Lett. 84, 3482–3485 (2000).

91 Yonezawa, H., Aoki, T. & Furusawa, A. Demonstration of a quantum teleportation network for continuous variables. Nature 431, 430–433 (2004).

92 Lance, A. M., Symul, T., Bowen, W. P., Sanders, B. C. & Lam, P. K. Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004).

93 Bužek, V. & Hillery, M. Quantum copying: Beyond the no-cloning theorem. Phys. Rev. A 54, 1844–1852 (1996).

94 Bruß, D. et al. Optimal universal and state-dependent quantum cloning. Phys. Rev. A 57, 2368–2378 (1998).

95 Cerf, N. J., Ipe, A. & Rottenberg, X. Cloning of continuous quantum variables. Phys. Rev. Lett. 85, 1754–1757 (2000).

96 Zhao, Z. et al. Experimental realisation of optimal asymmetric cloning and telecloning via partial teleportation. Phys. Rev. Lett. 95, 030502 (2005).

97 Koike, S. et al. Demonstration of quantum telecloning of optical coherent states. Phys. Rev. Lett. 96, 060504 (2006).

98 Murao, M., Jonathan, D., Plenio, M. B. & Vedral, V. Quantum telecloning and multiparticle entanglement. Phys. Rev. A 59, 156–161 (1999).

99 van Loock, P. & Braunstein, S. L. Telecloning of continuous quantum variables. Phys. Rev. Lett. 87, 247901 (2001).

100 Brassard, G., Braunstein, S. L. & Cleve, R. Teleportation as a quantum computation. Physica D 120, 43–47 (1998).

101 Aliferis, P. & Leung, D. W. Computation by measurements: A unifying picture. Phys. Rev. Lett. 70, 062314 (2004).

102 Knill, E., Laflamme, R. & Milburn, G. A scheme for efficient quantum computation with linear optics. Nature 409, 46–52 (2001).

103 Gao, W.-B. et al. Teleportation-based realisation of an optical quantum two-qubit entangling gate. Proc. Natl Acad. Sci. USA 107, 20869–20874 (2010).

104 Gross, D. & Eisert, J. Novel schemes for measurement-based quantum computing. Phys. Rev. Lett. 98, 220503 (2007).

105 Nielsen, M. A. Optical quantum computation using cluster states. Phys. Rev. Lett. 93, 040503 (2004).

106 Menicucci, N. C. et al. Universal quantum computation with continuous-variable cluster states. Phys. Rev. Lett. 97, 110501 (2006).

107 Zhang, J. & Braunstein, S. L. Continuous-variable Gaussian analog of cluster states. Phys. Rev. A 73, 032318 (2006).

108 Yokoyama, S. et al. Ultra-large-scale continuous-variable cluster states multiplexed in the time domain. Nature Photon. 7, 982–986 (2013).

109 Ishizaka, S. & Hiroshima, T. Quantum teleportation scheme by selecting one of multiple output ports. Phys. Rev. A 79, 042306 (2009).

110 Strelchuk, S., Horodecki, M. & Oppenheim, J. Generalised teleportation and entanglement recycling. Phys. Rev. Lett. 110, 010505 (2013).

111 Beigi, S. & König, R. Simplified instantaneous non-local quantum computation with applications to position-based cryptography. New J. Phys. 13, 093036 (2011).

112 Buhrman, H. et al. Quantum communication complexity advantage implies violation of a Bell inequality. Preprint at http://arxiv.org/abs/1502.01058v1 (2015).

113 Grice, W. P. Arbitrarily complete Bell-state measurement using only linear optical elements. Phys. Rev. A 84, 042331 (2011).

114 Zaidi, H. A. & van Loock, P. Beating the one-half limit of ancilla-free linear optics Bell measurements. Phys. Rev. Lett. 110, 260501 (2013).

115 Ewert, F. & van Loock, P. 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae. Phys. Rev. Lett. 113, 140403 (2014).

116 Braunstein, S. L. & Kimble H. J. A posteriori teleportation. Nature 394, 840–841 (1998).

117 Pan, J.-W., Gasparoni, S., Aspelmeyer, M., Jennewein, T. & Zeilinger, A. Experimental realization of freely propagating teleported qubits. Nature 421, 721–725 (2003).

118 Lee, H.-W. & Kim, J. Quantum teleportation and Bell's inequality using single-particle entanglement. Phys. Rev. A 63, 012305 (2000).

119 Brendel, J., Tittel, W., Zbinden, H. & Gisin, N. Pulsed energy-time entangled twin-photon source for quantum communication. Phys. Rev. Lett. 82, 2594–2597 (1999).

120 Ou, Z. Y., Pereira, S. F., Kimble, H. J. & Peng, K. C. Realization of the Einstein–Podolsky–Rosen paradox for continuous variables. Phys. Rev. Lett. 68, 3663–3666 (1992).

121 Schori, C., Sørensen, J. L. & Polzik, E. S. Narrow-band frequency tunable light source of continuous quadrature entanglement. Phys. Rev. A 66, 033802 (2002).

122 Furusawa, A. & van Loock, P. Quantum Teleportation and Entanglement — A Hybrid Approach to Optical Quantum Information Processing (Wiley, 2011).

123 Andersen, U. L. & Ralph, T. C. High-fidelity teleportation of continuous-variable quantum states using delocalised single photons. Phys. Rev. Lett. 111, 050504 (2013).

124 Simon, C. et al. Quantum memories. Eur. Phys. J. D 58, 1–22 (2010).

125 Julsgaard, B. et al. Experimental demonstration of quantum memory for light. Nature 432, 482–486 (2004).

126 Radnaev, A. G. et al. A quantum memory with telecom-wavelength conversion. Nature Phys. 6, 894–899 (2010).

127 Hucul, D. et al. Modular entanglement of atomic qubits using photons and phonons. Nature Phys. 11, 37–42 (2015).

128 Zhong, M. et al. Optically addressable nuclear spins in a solid with a six-hour coherence time. Nature 517, 177–180 (2015).

129 Schoelkopf, R. J. & Girvin, S. M. Wiring up quantum systems. Nature 451, 664–669 (2008).

130 Maurer, P. C. et al. Room-temperature quantum bit memory exceeding one second. Science 336, 1283–1286 (2012).

131 Xiang, Z.-L., Ashhab, S., You, J. Q. & Nori, F. Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems. Rev. Mod. Phys. 85, 623–653 (2013).

132 Kurizki, G. et al. Quantum technologies with hybrid systems. Proc. Natl Acad. Sci. USA 112, 3866–3873 (2015).

133 O'Brien, C., Lauk, N., Blum, S., Morigi, G. & Fleischhauer, M. Interfacing superconducting qubits and telecom photons via a rare-earth-doped crystal. Phys. Rev. Lett. 113, 063603 (2014).

134 Braunstein, S. L., D'Ariano, G. M., Milburn, G. J. & Sacchi, M. F. Universal teleportation with a twist. Phys. Rev. Lett. 84, 3486–3489 (2000).

135 Harty, T. P. et al. High-fidelity preparation, gates, memory, and readout of a trapped-ion quantum bit. Phys. Rev. Lett. 113, 220501 (2014).

136 Specht, H. P. et al. A single-atom quantum memory. Nature 473, 190–193 (2011).

137 Press, D. et al. Ultrafast optical spin echo in a single quantum dot. Nature Photon. 4, 367–370 (2010).

138 Jobez, P. et al. Coherent spin control at the quantum level in an ensemble-based optical memory. Phys. Rev. Lett. 114, 230502 (2015).

139 Reagor, M. et al. A quantum memory with near-millisecond coherence in circuit QED. Preprint at http://arxiv.org/abs/1508.05882 (2015).