Operating Quantum States in Single Magnetic Molecules: Implementation of Grover's Quantum Algorithm

Abstract

Quantum algorithms use the principles of quantum mechanics, as for example quantum superposition, in order to solve particular problems outperforming standard computation. They are developed for cryptography, searching, optimisation, simulation and solving large systems of linear equations. Here, we implement Grover's quantum algorithm, proposed to find an element in an unsorted list, using a single nuclear 3/2-spin carried by a Single Molecular Magnet (SMM) transistor. The coherent manipulation of this multi-level qudit is achieved by means of electric fields only. Grover's search algorithm was implemented by constructing a quantum database via a multi-level Hadamard gate. The Grover sequence then allows us to select each state. The presented method is of universal character and can be implemented in any multi-level quantum system with non-equal spaced energy levels, opening the way to novel quantum search algorithms.

5 pages, 4 figures

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• The role of the quadrupolar interaction in the tunneling dynamics of lanthanide molecular magnets
• Continuous-time quantum walk spatial search on the Bollobás scale-free network
• Unravelling the Spin Dynamics of Molecular Nanomagnets with Four-Dimensional Inelastic Neutron Scattering
• Decoherence measurements in crystals of molecular magnets
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• Decoherence of a singlet-triplet superposition state under dipolar interactions of an uncorrelated environment
• Low-temperature environments for quantum computation and quantum simulation
• Compilation of Entangling Gates for High-Dimensional Quantum Systems
• Thermodynamics and spin mapping of quantum excitations in a Heisenberg spin heptamer
• Theoretical insights on the importance of anchoring vs molecular geometry in magnetic molecules acting as junctions
• Quantum Gates Between Mesoscopic Spin Ensembles
• High cooperativity coupling to nuclear spins on a circuit QED architecture
• Exploring the transport properties of equatorially low coordinated erbium single ion magnets
• Nature of hyperfine interactions in TbPc${}_2$ single-molecule magnets: Multireference ab-initio study