Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains

TL;DR

This paper proposes a topologically protected quantum simulation scheme using Josephson circuits to realize universal quantum gates in a one-dimensional DIII topological superconductor, advancing topological quantum computing.

Contribution

It introduces a symmetry-protected bosonic simulator and a dispersive dynamic modulation approach for simulating DIII topological superconductors and implementing universal quantum gates.

Findings

Faithful simulation of DIII topological superconductor achieved

Universal quantum gates realized with topologically protected states

Scheme is experimentally feasible with current technology

Abstract

One-dimensional time-reversal invariant topological superconducting wires of the symmetry class DIII exhibit exotic physics which can be exploited to realize the set of universal operations in topological quantum computing. However, the verification of DIII-class physics in conventional condensed matter materials is highly nontrivial due to realistic constraints. Here we propose a symmetry-protected hard-core boson simulator of the one-dimensional DIII topological superconductor. By using the developed dispersive dynamic modulation approach, not only the faithful simulation of this new type of spinful superconducting chains is achieved, but also a set of universal quantum gates can be realized with the computational basis formed by the degenerate ground states that are topologically protected against random local perturbations. Physical implementation of our scheme based on a Josephson quantum circuit is presented, where our detailed analysis pinpoints that this scheme is experimentally feasible with the state-of-the-art technology.