Piligkos Group

Quantum Computers (QCs) are devices that exploit genuine quantum properties of matter, such as superposition states or entanglement, allowing them to outperform today’s best supercomputers (Quantum Advantage) for some specific types of computations. These include prime-number factorisation (the basis of currently used encryption protocols), the management of large databases and the accurate simulation of quantum many-body systems. Attaining Quantum Advantage will change the way in which we process, search and share information, including artificial intelligence (through quantum machine learning), and have a transformative impact on the simulation and development of novel materials and chemicals with applications in energy (magnets, batteries, superconductors), agriculture (more efficient and sustainable fertilizers) or biomedicine and biotechnologies.

In QCs the smallest logical unit is the quantum bit, a two-level quantum system that can assume the states |0> or |1> or any arbitrary linear combination of these, such as: a|1> + b|0>, with a and b being complex numbers. A quantum information register can therefore process information states that are forbidden to a classical one and, in particular, handle all possible outcomes of a given computational problem. This ‘‘quantum parallelism’’ gives a resource that can greatly simplify some computational tasks.

We recently demonstrated that Yb(trensal) is an excellent electronic qubit displaying coherent Rabi oscillations of the electronic spin extending to the microsecond region (paper). Additionally, in collaboration with colleagues at the University of Parma, we showed that Yb(trensal) is a prototypical coupled electronic-qubit−nuclear-qudit (paper) and put forward a proposal to exploit the multilevel structure of the qudit to encode a logical qubit protected against both amplitude or phase shift errors. Here the nuclear qudit encodes the quantum information and the electronic qubit is used as an ancilla to detect errors. Thus, we developed molecular prototypical electronic-qubit-nuclear-qudit coupled systems in which quantum error correction can be intrinsically implemented.

We have also extended the trensal motif and made the complexes functionalizable and ready for surface deposition (paper).

Your project: In your project you will be working on preparing new Ln(trensal) qubits and study their electronic structure, spin-lattice relaxation and coherent magnetic properties.

In classical computers, the basic unit of computation is the bit, which in binary logic can take two values, |0> or |1>. Implementation of classical bits uses as physical support classical systems displaying two well defined states. In Quantum Computers (QCs), the basic unit of computation is the quantum bit or qubit. Its physical implementation is a two-level quantum system that can assume the states |0> or |1> or any arbitrary linear combination of these, such as: a|1> + b|0>, with a and b being complex numbers. This ‘‘quantum parallelism’’, is expected to enormously increase the potential of information processing. Quantum computing operations are performed by logic quantum gates. The simplest of these are single qubit unitary rotations which, starting from a basis state, say |0> or |1>, produce a superposition, such as: a|1> + b|0>. Quantum computing algorithms can be performed as a sequence of single qubit rotations and gate operations performed on two entangled qubits. For example, in binary arithmetic addition modulus two is performed by the controlled-NOT gate that inverts the state of one qubit (target qubit) if, and only if, the other one (control qubit) is, for example, in the |0> state.

In my group we investigate the potential of heterodinuclear lanthanide complexes to be used as entangled two-qubit quantum gates. Due to the very similar chemistry of the 14 lanthanide ions, heterolanthanide complexes are inherently difficult to synthesise. We recently presented a synthetic procedure to synthesise all dinuclear lanthanide complexes involving Gd-Lu (paper). These complexes are based on the cryptand ligand shown above, which ensures the stability of the complexes, a vital asset for their inclusion in future quantum technology devices.

Your project: You will synthesise new heteronuclear lanthanide complexes based on our established synthetic procedure and study the magnetic properties of these, with emphasis on determining the interaction between the two lanthanide centers and on the coherent magnetic properties of these systems. Additionally, you will be working on extending the choice of lanthanides beyond the late lanthanides (Gd-Lu) to the early lanthanides (Ce-Eu).