$π$-junction qubit in monolayer graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 5 figures, Manuscript revised, Accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.79.155431

We propose to combine the advantages of graphene, such as easy tunability and long coherence times, with Josephson physics to manufacture qubits. If these qubits are built around a 0 and $\pi$ junction they can be controlled by an external flux. Alternatively, a d-wave Josephson junction can itself be tuned via a gate voltage to create superpositions between macroscopically degenerate states. We show that ferromagnets are not required for realizing $\pi$ junction in graphene, thus considerably simplifying its physical implementation. We demonstrate how one qubit gates, such as arbitrary phase rotations and the exchange gate, can be implemented.

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