$\pi$-junction qubit in monolayer graphene

Abstract

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.

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

References in corpus (16)

• The electronic properties of graphene
• Proximity effects in superconductor-ferromagnet heterostructures
• Bipolar supercurrent in graphene
• Spin qubits in graphene quantum dots
• Superconducting Circuits and Quantum Information
• Specular Andreev reflection in graphene
• Resonating valence bonds and mean-field d-wave superconductivity in graphite
• Tunneling conductance of graphene NIS junctions
• Superconducting pi qubit with a ferromagnetic Josephson junction
• Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
• Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
• A supercurrent switch in graphene $\pi$-junctions
• Microscopic theory of the proximity effect in superconductor-graphene nanostructures
• d+id'-wave Superconducting States in Graphene
• Controllable pi junction in a Josephson quantum-dot device with molecular spin
• Can mesoscopic fluctuations reverse the supercurrent through a disordered Josephson junction?

Cited by in corpus (7)

• Proximity coupling in superconductor-graphene heterostructures
• Dirac Green's function approach to graphene-superconductor junctions with well defined edges
• Strains and pseudo-magnetic fields in circular graphene rings
• Proximity induced interface bound states in superconductor-graphene junctions
• Strain designed Josephson $\pi$ junction qubits with topological insulators
• Superconductor-ferromagnet junction phase qubit
• Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor