Quantum computational webs

Details Quantum computational webs Quantum computational webs

2008-10-15

arxiv.org/abs/0810.2542v2

Phys. Rev. A 82, 040303(R) (2010)

Physics

Quantum Physics

4 pages, 3 figures, small errors corrected, final version

Scientific paper

10.1103/PhysRevA.82.040303

We introduce the notion of quantum computational webs: These are quantum states universal for measurement-based computation which can be built up from a collection of simple primitives. The primitive elements - reminiscent of building blocks in a construction kit - are (i) states on a one-dimensional chain of systems ("computational quantum wires") with the power to process one logical qubit and (ii) suitable couplings which connect the wires to a computationally universal "web". All elements are preparable by nearest-neighbor interactions in a single pass - a type of operation well-suited for a number of physical architectures. We provide a complete classification of qubit wires. This is first instance where a physically well-motivated class of universal resources can be fully understood. Finally, we sketch possible realizations in superlattices, and explore the power of coupling mechanisms based on Ising or exchange-interactions.

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