\nIn this colloquium\, I will first expl ain continuous variable one-way quantum computing\, cluster states\, and t hen present our new proposal of a simple\, "top-down" setup to generate la rge-size\, D-hypercubic-lattice CV cluster states of more than 6000 entang led modes using D identical optical parametric oscillators (OPOs)\, each w ith a two-frequency pump [6]. These cluster states are sufficient for univ ersal one-way quantum computation [3]\, and the high dimensional lattices are useful in quantum error correction based on Kitaev's surface code [7]. Our optical construction methods eschews the limitations of a three-dimen sional world\, enabling simulation of measurements on these high-valence c luster graphs and also inviting theoretical and experimental investigation s of their topological properties [8].\n

\nReferences:\n

\n1. P.W.Sho
r\, in Proceedings\, 35th Annual Symposium on Foundations of Computer Scie
nce\, edited by S.Goldwasser(IEEE press\, Los Alamitos\, CA\, Santa Fe\, N
M\,1994) pp. 124-134.\n

\n2. R.P.Feynman\, Int.J.Theor.Phys.21\,467 (19
82)\n

\n3. R.Raussendorf and H.J.Briegel\, "A one-way quantum computer"
\, Phys.Rev.Lett. 86\,5188(2001)\n

\n4. M.Pysher et al.\, "Parallel gen
eration of quadripartite cluster entanglement in the optical frequency com
b"\, Phys.Rev.Lett. 107\, 030505(2011)\n

\n5. M.Chen\, N.C.Menicucci\,a
nd O.Pfister\,"Experimental realization of multipartite entanglement of 60
modes of the quantum optical frequency comb"\, arXiv:1311.2957[quant-ph](
2013)\n

\n6. P.Wang\, M.Chen\, N.C.Menicucci\,and O.Pfister\,"Weaving q
uantum optical frequency combs into hypercubic cluster states"\, arXiv:130
9.4105[quant-ph] (2013)\n

\n7. R.Raussendorf\, J.Harrington\, and K.Goy
al\,"A fault-tolerant one-way quantum computer"\, Ann. Phys.(N.Y.) 321\,
2242–2270 (2006)\n

\n8. T. F. Demarie\, T. Linjordet\, N. C. Menicucc
i\, and G. K. Brennen\, Detecting Topological Entanglement Entropy in a La
ttice of Quantum Harmonic Oscillators\, arXiv:1305.0409 [quant-ph] (2013)
DTSTART:20140221T203000Z
LOCATION:Physics Building\, Room 204
SUMMARY:Quantum computing with hypercubes of light
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END:VCALENDAR