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Quantum computational webs

Gross, D·Eisert, J
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Abstract

We discuss 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) one-dimensional states (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, of the kind accessible in a number of physical architectures. We provide a complete classification of qubit wires, a physically well-motivated class of universal resources that 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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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSCALCULATION METHODSCOMPUTERSCOUPLINGEXCHANGE INTERACTIONSINTERACTIONSMECHANICSNANOSTRUCTURESONE-DIMENSIONAL CALCULATIONSQUANTUM COMPUTERSQUANTUM MECHANICSQUANTUM STATESQUANTUM WIRESSUPERLATTICES

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Gross, D, Eisert, J. 2010-10-15. Quantum computational webs. https://doi.org/10.1103/physreva.82.040303

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗