Ground-state geometric quantum computing in superconducting systems

P. Solinas; J.-M. Pirkkalainen; M. Möttönen

doi:10.1103/PhysRevA.82.052304

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Ground-state geometric quantum computing in superconducting systems

P. Solinas, J.-M. Pirkkalainen, M. Möttönen

DOI 10.1103/PhysRevA.82.052304 · Physical Review A

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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 nontrivial 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.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La3Ni2O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown