Ground-state geometric quantum computing in superconducting systems
arXiv:1009.2025 · doi:10.1103/PhysRevA.82.052304
Abstract
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.
9 pages, 5 figures. Final version with notation and typos corrected
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- Single-electron current sources: towards a refined definition of ampere
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- On the stability of quantum holonomic gates
- Geometric quantum gates with superconducting qubits
- Superadiabatic theory for Cooper pair pumping under decoherence
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