Measurement-based quantum computation with trapped ions

TL;DR

This paper demonstrates measurement-based quantum computation using trapped ions, creating graph states for universal quantum operations and error correction, with potential for scaling to larger systems.

Contribution

It introduces deterministic generation of graph states in trapped ions for MBQC, including universal gates and error correction, advancing scalable quantum computing methods.

Findings

Generated graph states of up to 7 qubits

Implemented universal quantum operations

Demonstrated violation of multipartite Bell inequalities

Abstract

Measurement-based quantum computation (MBQC) represents a powerful and flexible framework for quantum information processing, based on the notion of entangled quantum states as computational resources. The most prominent application is the one-way quantum computer, with the cluster state as its universal resource. Here we demonstrate the principles of MBQC using deterministically generated graph states of up to 7 qubits, in a system of trapped atomic ions. Firstly we implement a universal set of operations for quantum computing. Secondly we demonstrate a family of measurement-based quantum error correction codes, and show their improved performance as the code length is increased. We show that all our graph states violate a multipartite Bell inequality and are therefore capable of information processing tasks that cannot be described by a local hidden variable model. The methods presented can directly be scaled up to generate graph states of several tens of qubits.