Demonstration of sufficient control for two rounds of quantum error correction in a solid state ensemble quantum information processor

TL;DR

This paper demonstrates high-fidelity control enabling two rounds of quantum error correction on a solid-state NMR quantum processor, showcasing advanced quantum control techniques in a practical setting.

Contribution

It presents the first implementation of two rounds of quantum error correction with high fidelity in a solid-state NMR system, advancing quantum control capabilities.

Findings

Successfully corrected phase errors in a 3-qubit system

Achieved high-fidelity control for multiple error correction rounds

Validated solid-state NMR as a viable platform for quantum algorithms

Abstract

We report the implementation of a 3-qubit quantum error correction code (QECC) on a quantum information processor realized by the magnetic resonance of Carbon nuclei in a single crystal of Malonic Acid. The code corrects for phase errors induced on the qubits due to imperfect decoupling of the magnetic environment represented by nearby spins, as well as unwanted evolution under the internal Hamiltonian. We also experimentally demonstrate sufficiently high fidelity control to implement two rounds of quantum error correction. This is a demonstration of state-of-the-art control in solid state nuclear magnetic resonance, a leading test-bed for the implementation of quantum algorithms.