Ground-state geometric quantum computing in superconducting systems

TL;DR

This paper proposes a method for geometric quantum computing using superconducting circuits with a doubly degenerate ground state, enabling robust, fully geometric quantum gates through adiabatic evolution.

Contribution

It introduces a novel superconducting circuit design for ground-state geometric quantum computing with universal single- and two-qubit gates.

Findings

Achieved a universal set of quantum gates in the ground state.

Demonstrated robustness against environmental noise.

Proposed a feasible physical implementation with superconducting circuits.

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.