Two significant experimental demonstrations of quantum teleportation

Quantum teleportation from a telecom-wavelength photon to a solid-state quantum memory
F. Bussières, C. Clausen, A. Tiranov, B. Korzh, V. B Verma, S.W. Nam, F. Marsili, A. Ferrier, P. Goldner, H. Herrmann, C. Silberhorn, W. Sohler, M. Afzelius, N. Gisin
Nature Photonics 8, 775-778 (2014);
Unconditional quantum teleportation between distant solid-state quantum bits
W. Pfaff, B.J. Hensen, H. Bernien, S.B. van Dam, M.S. Blok, T.H. Taminiau, M.J. Tiggelman, R.N. Schouten, M. Markham, D.J. Twitchen, R. Hanson

An Aharonov-Bohm interferometer for determining Bloch band topology

L. Duca, T. Li, M. Reitter, I. Bloch, M. Schleier-Smith, U. Schneider Science 347, 288 (2015), published online Science Express (Dec. 2014)

The geometric structure of a single-particle energy band in a solid is fundamental for a wide range of many- body phenomena and is uniquely characterized by the distribution of Berry curvature over the Brillouin zone.

Two-dimensional lattice gauge theories with superconducting quantum circuits

D. Marcos, P. Widmer, E. Rico, M. Hafezi, P. Rabl, U.-J. Wiese, P. Zoller Annals of Physics 351, 634-654 (2014)

Despite significant progress and efforts, lattice gauge theories remain to be challenging to be simulated on classical computers. A quantum simulator of U(1) lattice gauge theories can however be implemented with superconducting circuits. This allows, for instance, the investigation of confined and deconfined phases in quantum link models, and of valence bond solid and spin liquid phases in quantum dimer models.

A mixture of Bose and Fermi superfluids

I. Ferrier-Barbut, M. Delehaye, S. Laurent, A. T. Grier, M. Pierce, B. S. Rem, F. Chevy, C. Salomon Science 345, 1035-1038 (2014)

Superfluidity and superconductivity, are striking signatures of quantum mechanics at the macroscopic level, resulting in extraordinary features like the absence of viscosity or resistance in superconducting metals. In liquid helium and dilute gases, Bose and Fermi superfluidity has been observed separately, but producing a mixture in which both the fermionic and the bosonic components are superfluid is challenging.

Experimental investigation, using trapped ions, of quantum correlation propagation in systems with long-range interactions

Non-local propagation of correlations in quantum systems with long-range interactions
P. Richerme, Z.-X. Gong, A. Lee, C. Senko, J. Smith, M. Foss-Feig, S. Michalakis, A. V. Gorshkov, C. Monroe
Nature 511, 198-201 (2014);
Quasiparticle engineering and entanglement propagation in a quantum many-body system
P. Jurcevic, B. P. Lanyon, P. Hauke, C. Hempel, P. Zoller, R. Blatt, C. F. Roos Nature 511, 202-205 (2014)

Observation of chiral currents with ultracold atoms in bosonic ladders

M. Atala, M. Aidelsburger, M. Lohse, J. T. Barreiro, B. Paredes, I. Bloch
Nature Physics 10, 588–593 (2014)

Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms

M. Aidelsburger, M. Lohse, C. Schweizer, M. Atala, J. T. Barreiro, S. Nascimbène, N. R. Cooper, I. Bloch, N. Goldman
Nature Physics 11, 162-166 (2015), published online AOP 3171 (2014)

The quantum Hall effect has led to a deeper understanding of topological (or geometrical) effects in physics and has found generalizations in the spin quantum Hall effect and topological insulators. The plateaux in conductivity in this effect are attributed to the Chern numbers, a topological invariant characterizing the Bloch bands.

Experimental simulation of the Haldane model in two different platforms

Experimental realization of the topological Haldane model with ultracold fermions
G. Jotzu, M. Messer, R. Desbuquois, M. Lebrat, T. Uehlinger, D. Greif, T. Esslinger
Nature 515, 237–240 (2014);
Observation of topological transitions in interacting quantum circuits

Coherent suppression of electromagnetic dissipation due to superconducting quasiparticles

I. M. Pop, K. Geerlings, G. Catelani, R. J. Schoelkopf, L.I. Glazman, M. H. Devoret Nature 508, 369–372 (2014)

While superconducting qubits represent a promising technological platform for quantum computation, a good enough control of the mechanisms of decoherence and dissipation in these systems is still an experimental challenge. In particular, Josephson’s key theoretical prediction that quasiparticle dissipation should vanish in transport through a junction when the phase difference across the junction is π has never been observed.

Two implementations of quantum error-correcting techniques

Superconducting quantum circuits at the surface code threshold for fault tolerance
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O’Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, J. M. Martinis
Nature 508, 500-503 (2014);
Quantum computations on a topologically encoded qubit

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