Ground-state geometric quantum computing in superconducting systems

Details Ground-state geometric quantum computing in superconducting systems Ground-state geometric quantum computing in superconducting systems

2010-09-10

arxiv.org/abs/1009.2025v2

Phys. Rev. A 82, 052304 (2010)

Physics

Quantum Physics

9 pages, 5 figures. Final version with notation and typos corrected

Scientific paper

10.1103/PhysRevA.82.052304

We present a theoretical proposal for the implementation of geometric quantum computing based on a Hamiltonian which has a doubly degenerate ground state. Thus the system which is steered adiabatically, remains in the ground-state. The proposed physical implementation relies on a superconducting circuit composed of three SQUIDs and two superconducting islands with the charge states encoding the logical states. We obtain a universal set of single-qubit gates and implement a non-trivial two-qubit gate exploiting the mutual inductance between two neighboring circuits, allowing us to realize a fully geometric ground-state quantum computing. The introduced paradigm for the implementation of geometric quantum computing is expected to be robust against environmental effects.

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