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We present a discrete-time, one-dimensional quantum walk based on the entanglement between the momentum of ultracold rubidium atoms (the walk space) and two internal atomic states (the "coin" degree of freedom).
A. Einstein, B. Podolsky, and N. Rosen, “Can quantum-mechanical description of physical reality be considered complete?” Phys. Rev. 47
1935
Earlier work this paper cites.
E. M. Rasel, M. K. Oberthaler, H. Batelaan, J. Schmiedmayer, and A. Zeilinger, “Atom wave interferometry with diffraction gratings of light,” Physical Review Letters 75
1995
Earlier work this paper cites.
M. G. Raizen, “Quantum chaos with ultra-cold atoms,” Adv. At. Mol. Opt. Phys. 41
1999
Earlier work this paper cites.
B. G. Klappauf, W. H. Oskay, D. A. Steck, and M. G. Raizen, “Quantum chaos with cesium atoms: pushing the boundaries,” Physica D: Nonlinear Phenomena 131
1999
Earlier work this paper cites.
M. K. Oberthaler, R. M. Godun, M. B. d’Arcy, G. S. Summy, and K. Burnett, “Observation of quantum accelerator modes,” Physical review letters 83
1999
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information (CUP, Cambridge, 2000)
2000
Earlier work this paper cites.
H. B. Perets, Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, and Y. Silberberg, “Realization of quantum walks with negligible decoherence in waveguide lattices,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
M. Karski, L. Förster, J. Choi, A. Steffen, W. Alt, D. Meschede, and A. Widera, “Quantum Walk in Position Space with Single Optically Trapped Atoms,” Science 325
2009
Earlier work this paper cites.
H. Schmitz, R. Matjeschk, Ch. Schneider, J. Glueckert, M. Enderlein, T. Huber, and T. Schätz, “Quantum Walk of a Trapped Ion in Phase Space,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
N. B. Lovett, S. Cooper, M. Everitt, M. Trevers, and V. Kendon, “Universal quantum computation using the discrete-time quantum walk,” Phys. Rev. A 81
2010
Earlier work this paper cites.
F. Zähringer, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, and C. F. Roos, “Realization of a Quantum Walk with One and Two Trapped Ions,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
M. A. Broome, A. Fedrizzi, B. P. Lanyon, I. Kassal, A. Aspuru-Guzik, and A. G. White, “Discrete Single-Photon Quantum Walks with Tunable Decoherence,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X. Q. Poulios, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. OBrien, “Quantum walks of correlated photons,” Science 329
2010
Earlier work this paper cites.
D. Witthaut, “Quantum walks and quantum simulations with Bloch-oscillating spinor atoms,” Phys. Rev. A 82
2010
Cited alongside, same era.
M. Sadgrove and S. Wimberger, “A pseudo-classical method for the atom-optics kicked rotor: from theory to experiment and back,” Adv. At. Mol. Opt. Phys. 60
2011
Cited alongside, same era.
A. Steffen, A. Alberti, W. Alt, N. Belmechri, S. Hild, M. Karski, A. Widera, and D. Meschede, “Digital atom interferometer with single particle control on a discretized space-time geometry,” Proceedings of the National Academy of Sciences 109
2012
Cited alongside, same era.
M. Gräfe, A. S. Solntsev, R. Keil, A. A. Sukhorukov, M. Heinrich, A. Tünnermann, S. Nolte, A. Szameit, and Yu S. Kivshar, “Biphoton generation in quadratic waveguide arrays: A classical optical simulation,” Science 2
2012
Cited alongside, same era.
Z. Bian, J. Li, H. Qin, X. Zhan, R. Zhang, B. C. Sanders, and P. Xue, “Realization of single-qubit positive-operator-valued measurement via a one-dimensional photonic quantum walk,” Phys. Rev. Lett. 114
2015
Later among the works it cites.
T. Kovachy, P. Asenbaum, C. Overstreet, C. A. Donnelly, S. M. Dickerson, A. Sugarbaker, J. M. Hogan, and M. A. Kasevich, “Quantum superposition at the half-metre scale,” Nature 528
2015
Later among the works it cites.
T. Groh, S. Brakhane, W. Alt, D. Meschede, J. K. Asbóth, and A. Alberti, “Robustness of topologically protected edge states in quantum walk experiments with neutral atoms,” Phys. Rev. A 94
2016
Later among the works it cites.
D. Morita, T. Kubo, Y. Tokura, and M. Yamashita, “Spin-1 quantum walks,” Phys. Rev. A 93
2016
Later among the works it cites.
G. S. Summy and S. Wimberger, “Quantum random walk of a Bose-Einstein condensate in momentum space,” Phys. Rev. A 93
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M. Sadgrove, S. Wimberger, and K. Nakagawa, “Phase-selected momentum transport in ultra-cold atoms,” The European Physical Journal D 66
2012
Cited alongside, same era.
D. Y. H. Ho and J. Gong, “Quantized adiabatic transport in momentum space,” Physical review letters 109
2012
Cited alongside, same era.
R. Portugal, Quantum Walks and Search Algorithms (Springer, New York, 2013)
2013
Cited alongside, same era.
A. M. Childs, D. Gosset, and Z. Webb, “Universal computation by multiparticle quantum walk,” Science 339
2013
Cited alongside, same era.
D. H. White, S. K. Ruddell, and M. D. Hoogerland, “Experimental realization of a quantum ratchet through phase modulation,” Phys. Rev. A 88
2013
Cited alongside, same era.
R. K. Shrestha, J. Ni, W. K. Lam, G. S. Summy, and S. Wimberger, “Dynamical tunneling of a Bose-Einstein condensate in periodically driven systems,” Phys. Rev. E 88
2013
Cited alongside, same era.
K. Poulios, R. Keil, D. Fry, J. D. A. Meinecke, J. C. F. Matthews, A. Politi, M. Lobino, M. Gräfe, M. Heinrich, S. Nolte, A. Szameit, and J. L. O’Brien, “Quantum walks of correlated photon pairs in two-dimensional waveguide arrays,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
Y. Chen and C. Tian, “Planck’s quantum-driven integer quantum hall effect in chaos,” Phys. Rev. Lett. 113
2014
Cited alongside, same era.
2016
Later among the works it cites.
J. Ni, W. K. Lam, S. Dadras, M. F. Borunda, S. Wimberger, and G. S. Summy, “Initial-state dependence of a quantum resonance ratchet,” Phys. Rev. A 94
2016
Later among the works it cites.
H. Ahlers, H. Müntinga, A. Wenzlawski, M. Krutzik, G. Tackmann, S. Abend, N. Gaaloul, E. Giese, A. Roura, R. Kuhl, C. Lämmerzahl, A. Peters, P. Windpassinger, K. Sengstock, W. P. Schleich, W. Ertmer, and E. M. Rasel, “Double bragg interferometry,” Phys. Rev. Lett. 116
2016
Later among the works it cites.
C. S. Hamilton, S. Barkhofen, L. Sansoni, I. Jex, and C. Silberhorn, “Driven discrete time quantum walks,” New J. Phys. 18
2016
Later among the works it cites.
F. Cardano, A. D’Errico, A. Dauphin, M. Maffei, B. Piccirillo, C. de Lisio, G. De Filippis, V. Cataudella, E. Santamato, L. Marrucci, M. Lewenstein, and P. Massignan, “Detection of zak phases and topological invariants in a chiral quantum walk of twisted photons,” Nature Comm. 8
2017
Later among the works it cites.
A. Alberti and S. Wimberger, “Quantum walk of a bose-einstein condensate in the brillouin zone,” Physical Review A 96
2017
Later among the works it cites.
J. Ni, Siamak D., W. K. Lam, R. K. Shrestha, M. Sadgrove, S. Wimberger, and G. S. Summy, “Hamiltonian ratchets with ultra-cold atoms,” Annalen der Physik 529
2017
Later among the works it cites.