Quantum-gate implementation in permanently coupled AF spin rings without need of local fields

Abstract

We propose a scheme for the implementation of quantum gates which is based on the qubit encoding in antiferromagnetic molecular rings. We show that a proper engineering of the intercluster link would result in an effective coupling that vanishes as far as the system is kept in the computational space, while it is turned on by a selective excitation of specific auxiliary states. These are also shown to allow the performing of single- and two-qubit gates without an individual addressing of the rings by means of local magnetic fields.

To appear in Physical Review Letters

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• Entanglement temperature in molecular magnets composed of S-spin dimers
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• Persistent Spin Dynamics in the $S=1/2$ V${}_{15}$ Molecular Nano-Magnet
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• Breaking the ring: ${}^{53}$Cr-NMR on the Cr${}_8$Cd molecular nanomagnet
• Tailoring Effective Exchange Interactions via Domain Walls in Coupled Heisenberg Rings
• On the size of linear superpositions in molecular nanomagnets
• Quantum Information Processing with Molecular Nanomagnets: an introduction