ICE1 2014 Workshop “Información Cuántca en España-1” - Zaragoza, 2014

Dinuclear Molecules of Lanthanides as Prototypes of CNOT and SWAP Quantum Gates

G. Aromía, D. Aguilàa, L. A. Barriosa, V. Velascoa, S. J. Teatc, F. Luisb, O. Roubeaub, A. Repollésb, J. P. Alonsob

a Departament de Química Inorgànica, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain.

b Instituto de Ciencia de Materiales de Aragón, CSIC and Universidad de Zaragoza, Plaza San Francisco s/n, 50009, Zaragoza, Spain.

c Advanced Light Source, Berkeley Laboratory, 1 Cyclotron Rd, Berkeley, CA 94720, USA.

The manipulation of the quantum states of electronic spins has been proposed as a possible technology for the realization of the principles of quantum computing.[1] The spins can be confined in various forms of matter, but one that seems convenient is within metals of discrete coordination molecules,[2-4] which can then be processed or localized conveniently, prepared in any desired amount with complete reproducibility and have their properties tuned by chemical synthesis. Here we discuss the synthesis of a family of dissymmetric dinuclear coordination complexes, [Ln2], (Ln=any lanthanide, Figure, left)[5] that fulfill many of the requirements necessary to act as CNOT or SWAP quantum gates.[6] The synthetic method also allows for the controlled preparation of a large number of heterometallic analogues, [LnLn’]. This provides the possibility to study any of the two individual qubits within the complex by having it be accompanied by a diamagnetic metal at the place of the other qubit (eg, [LaLn’] or [LnY]) or to explore other implementation schemes through the preparation and study of different combinations (such as [CeEr]). The physical properties proving the suitability of these chemical systems to embody 2-qubit quantum gates will be discussed (Figure right).

[1] T. D. Ladd et al. Nature 464, 45-53 (2010).

[2] G. Aromí et al. Chem. Soc. Rev. 41, 537-546 (2012).

[3] J. Lehmann et al. Nat. Nanotechnol. 2, 312-317 (2007).

[4] G. A. Timco et al. Chem. Soc. Rev. 40, 3067-3075 (2011).

[5] D. Aguilà et al. Chem., Eur. J. 15, 11235-11243 (2009).

[6] F. Luis et al. Phys. Rev. Lett. 107, 117203 (2011).