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Three addressable spin qubits in a GdW30 single-ion magnet

AuthorsJenkins, Mark; Duan, Yan; Diosdado, Beatriz E.; García-Ripoll, Juan José ; Gaita-Ariño, Alejandro; Giménez-Saiz, Carlos; Alonso, Pablo J.; Coronado, Eugenio; Luis, Fernando
Issue Date2017
CitationXXXVI Reunión Bienal de la Real Sociedad Española de Física (2017)
AbstractThe practical realization of quantum computation schemes faces the challenge of increasing the number of qubits while keeping errors below a threshold that allows their coherent manipulation. This dilemma is of particular relevance for proposals involving electron spins. The implementation of even the simplest quantum algorithm implies coupling two or more of such qubits in a controlled manner. However, dipolar interactions between them are also an important source of decoherence, which has severely limited progressing beyond the realization of elemental two-qubit gates. Here, we explore a way to scale up quantum resources, without introducing additional decoherence, by integrating several electron spin qubits in a single magnetic ion with spin S > ½. This approach is illustrated with a Gd3+ ion trapped inside a suitably chosen polyoxoanion [Gd(H2O)P5W30O110]12- (GdW30, Fig 1). Electron paramagnetic resonance experiments (Fig. 1) have been performed on quasi-independent molecules diluted in a crystal of the diamagnetic isostructural derivative [Y(H2O)P5W30O110]12-. The full energy-level spectrum and the orientations of the magnetic anisotropy axes have been determined by means of continuouswave electron paramagnetic resonance experiments, using X-band (9–10 GHz) cavities and on-chip superconducting waveguides (0.1-14 GHz) and 1.5-GHz resonators. The results show that seven allowed transitions between the 2S + 1 spin states can be separately addressed. Spin coherence 1/T2 and spin-lattice relaxation 1/T1 rates have been measured for each of these transitions in properly oriented single crystals. The results suggest that quantum spin coherence is limited by residual dipolar interactions with neighbor electronic spins. Coherent Rabi oscillations have been observed for all transitions. The Rabi frequencies increase with microwave power and agree quantitatively with predictions based on the spin Hamiltonian of the molecular spin. We argue that the spin states of each Gd3+ ion can be mapped onto the states of three addressable qubits (or, alternatively, of a d = 8-level “qudit”), for which the seven allowed transitions form a universal set of operations. Within this scheme, one of the coherent oscillations observed experimentally provides an implementation of a controlled-controlled-NOT (or Toffoli) three-qubit gate. Our findings open prospects for developing more complex and robust quantum computation schemes based on spin qubits.
DescriptionResumen del trabajo presentado a la XXXVI Reunión Bienal de la Real Sociedad Española de Física, celebrada en Santiago de Compostela del 17 al 21 de julio de 2017.
Appears in Collections:(CFMAC-IFF) Comunicaciones congresos
(ICMA) Comunicaciones congresos
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