Darmstadt 2008 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 21: Quanteninformation (Quantencomputer II)

Q 21.4: Talk

Tuesday, March 11, 2008, 17:15–17:30, 1B

New universal resource states — •David Gross and Jens Eisert — Institute for Mathematical Sciences, Imperial College London, 53 Prince's Gate, London SW7 2PG, UK

Based on a previously established framework [1], we present new examples of universal resource states for measurement-based quantum computation. In particular, we discuss the concept of ``quantum wires''. These are quantum states on a one-dimensional string, which can be used to transport and process quantum information solely by means of local measurements. In a certain parameter regime, quantum wires can be completely parameterized and their properties explicitly computed. States of these kind may be thought of as primitives for the construction of two-dimensional resources states, universal for quantum computing. We discuss means of coupling such one-dimensional wires to form universal resources.

[1] D. Gross and J. Eisert, Phys. Rev. Lett. 98, 220503 (2007); D. Gross, J. Eisert, N. Schuch, and D. Perez-Garcia, Phys. Rev. A 76, 052315 (2007).