• Spin qubits: holes in Germanium (Ge) make electrically addressable, scalable qubits to build quantum computers
• Super-semiconductor qubits: the combination of topological protection and superconducting circuits yields a topologically protected qubit (the kitmon), immune to most decoherence mechanisms

• Topological systems are promising platforms for topologically protected quantum computing
• Topological properties can be engineered on demand using modular platforms, such as multi-terminal Josephson Junctions

• The Kitaev chain is the canonical toy model that hosts Majorana
  fermions, which are their own anti-particles and exhibit topological
  protection. A minimal example of a Kitaev chain has been realized on
  quantum dots.

• Time-crystals are new phases of matter based on time ordering (rather
  than spatial) which can increase the stability of quantum computers

• The combination of photons and electronic systems gives rise to cavity
  quantum materials: hybrid materials made of both light and matter. Those
  are exceptional platforms for quantum technology applications

• Quantum materials showcase unique properties due to the interplay of its degrees of freedom and their correlated dynamics. Some examples:
  • In topological materials, the electronic wave-functions take on non-trivial geometric structures
  • Quasicrystals, hosting a combination of ordered structures and aperiodicity, exhibit interesting fractal properties
  • Flat-band systems exhibit compact localization without the need of disorder

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