Experimental High-Dimensional Quantum Teleportation.

Quantum teleportation provides a way to transmit unknown quantum states from one location to another. In the quantum world, multilevel systems which enable high-dimensional systems are more prevalent. Therefore, to completely rebuild the quantum states of a single particle remotely, one needs to teleport multilevel (high-dimensional) states. Here, we demonstrate the teleportation of high-dimensional states in a three-dimensional six-photon system. We exploit the spatial mode of a single photon as the high-dimensional system, use two auxiliary entangled photons to realize a deterministic three-dimensional Bell state measurement. The fidelity of teleportation process matrix is F=0.596±0.037. Through this process matrix, we can prove that our teleportation is both nonclassical and genuine three dimensional. Our work paves the way to rebuild complex quantum systems remotely and to construct complex quantum networks.

[1]  G. Guo,et al.  Efficient Generation of High-Dimensional Entanglement through Multipath Down-Conversion. , 2020, Physical review letters.

[2]  Jian-Wei Pan,et al.  Quantum Teleportation in High Dimensions. , 2019, Physical review letters.

[3]  Chuan-Feng Li,et al.  Experimental certification for nonclassical teleportation , 2019, Quantum Eng..

[4]  Guang-Can Guo,et al.  Arbitrary two-particle high-dimensional Bell-state measurement by auxiliary entanglement , 2019, Physical Review A.

[5]  Mario Krenn,et al.  Experimental Greenberger–Horne–Zeilinger entanglement beyond qubits , 2018, Nature Photonics.

[6]  Guang-Can Guo,et al.  Beating the channel capacity limit for superdense coding with entangled ququarts , 2018, Science Advances.

[7]  M. Kleinmann,et al.  Observation of Stronger-than-Binary Correlations with Entangled Photonic Qutrits. , 2017, Physical review letters.

[8]  Mario Krenn,et al.  Experimental GHZ Entanglement beyond Qubits , 2017, 1708.03881.

[9]  Roberto Morandotti,et al.  On-chip generation of high-dimensional entangled quantum states and their coherent control , 2017, Nature.

[10]  Nicolas Gisin,et al.  Quantifying Photonic High-Dimensional Entanglement. , 2017, Physical review letters.

[11]  Guang-Can Guo,et al.  Experimental Test of Compatibility-Loophole-Free Contextuality with Spatially Separated Entangled Qutrits. , 2016, Physical review letters.

[12]  Paul Skrzypczyk,et al.  All Entangled States can Demonstrate Nonclassical Teleportation. , 2016, Physical review letters.

[13]  Guang-Can Guo,et al.  Experimental Greenberger-Horne-Zeilinger-Type Six-Photon Quantum Nonlocality. , 2015, Physical review letters.

[14]  A. Zeilinger,et al.  Multi-photon entanglement in high dimensions , 2015, Nature Photonics.

[15]  J. Eisert,et al.  Advances in quantum teleportation , 2015, Nature Photonics.

[16]  Guang-Can Guo,et al.  Efficient superdense coding in the presence of non-Markovian noise , 2015, 1504.07572.

[17]  Jian-Wei Pan,et al.  Quantum teleportation of multiple degrees of freedom of a single photon , 2015, Nature.

[18]  Anton Zeilinger,et al.  Experimental access to higher-dimensional entangled quantum systems using integrated optics , 2015, 1502.06504.

[19]  A. Zeilinger,et al.  Generation and confirmation of a (100 × 100)-dimensional entangled quantum system , 2013, Proceedings of the National Academy of Sciences.

[20]  Adetunmise C. Dada,et al.  Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities , 2011, 1104.5087.

[21]  Shuntaro Takeda,et al.  Teleportation of Nonclassical Wave Packets of Light , 2011, Science.

[22]  S. Olmschenk,et al.  Quantum Teleportation Between Distant Matter Qubits , 2009, Science.

[23]  Aephraim M. Steinberg,et al.  Improving quantum state estimation with mutually unbiased bases. , 2008, Physical review letters.

[24]  Hidehiro Yonezawa,et al.  Experimental demonstration of quantum teleportation of broadband squeezing. , 2007, Physical review letters.

[25]  B. Julsgaard,et al.  Quantum teleportation between light and matter , 2006, Nature.

[26]  A. Furusawa,et al.  High-fidelity teleportation beyond the no-cloning limit and entanglement swapping for continuous variables. , 2005, Physical review letters.

[27]  A. Hayashi,et al.  Reexamination of optimal quantum state estimation of pure states (5 pages) , 2004, quant-ph/0410207.

[28]  N. Langford,et al.  Distance measures to compare real and ideal quantum processes (14 pages) , 2004, quant-ph/0408063.

[29]  E. Knill,et al.  Deterministic quantum teleportation of atomic qubits , 2004, Nature.

[30]  F. Schmidt-Kaler,et al.  Deterministic quantum teleportation with atoms , 2004, Nature.

[31]  E. Diamanti,et al.  Quantum teleportation with a quantum dot single photon source. , 2003, Physical review letters.

[32]  J. Calsamiglia.  Generalized measurements by linear elements , 2001, quant-ph/0108108.

[33]  Zdeněk Hradil,et al.  Maximum-likelihood estimation of quantum processes , 2001, OFC 2001.

[34]  D. Bruß,et al.  Optimal state estimation for d-dimensional quantum systems☆ , 1998, quant-ph/9812016.

[35]  E. Knill,et al.  Complete quantum teleportation using nuclear magnetic resonance , 1998, Nature.

[36]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[37]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[38]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[39]  I. D. Ivonovic.  Geometrical description of quantal state determination , 1981 .

[40]  W. Munro,et al.  Qudit quantum-state tomography , 2002 .