Researchers at the University of Leeds are looking for new ways to construct quantum computers using graphene.The image below is an image of a magnetic field created by d-wave superconductivity.
There are various ways of creating the necessary double degeneracy for encoding a qubit.
D-wave superconductivity is being studied by IBM in thallium-copper-oxide high-temperature superconductors, as well as, in graphene. Below is a method of creating two Josephson junctions in single layer graphene. A gate voltage is used to tune either of the junctions to a pi phase. This pi phase regime implements the qubit.
In another variant, a d-wave Josephson junction could be tuned to create the doubly degenerate ground states. Other variants have also been by proposed by Guido Burkard's team at the University of Konstanz and others.
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